Least energy solutions of some indefinite Schrödinger systems

Συγγραφείς: Ruijin Xu, Jiabao Su, Rushun Tian

Πηγή: Journal of Differential Equations. 424:501-525

Θεματικοί όροι: Semilinear elliptic equations, existence and asymptotic behavior of least energy solutions, Asymptotic behavior of solutions to PDEs, indefinite Schrödinger system, Boundary value problems for second-order elliptic systems, Existence problems for PDEs: global existence, local existence, non-existence

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On the Lack of External Response of a Nonlinear Medium in the Second-Harmonic Generation Process: On the lack of external response of a nonlinear medium in the second-harmonic generation process

Συγγραφείς: Fioralba Cakoni, Narek Hovsepyan, Matti Lassas, Michael Vogelius

Πηγή: SIAM Journal on Mathematical Analysis. 57:1370-1405

Θεματικοί όροι: second-harmonic generation process, Mathematics - Analysis of PDEs, Semilinear elliptic equations, nonlinear optics, Scattering theory for PDEs, Boundary value problems for second-order elliptic systems, Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs, Lasers, masers, optical bistability, nonlinear optics, scattered field control, transmission eigenvalues

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Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2401.00998
https://zbmath.org/8024074
https://doi.org/10.1137/24m1669700

Homogenization of High-Contrast Dielectric Elastomer Composites: Homogenization of high-contrast dielectric elastomer composites

Συγγραφείς: Thuyen Dang, Yuliya Gorb, Silvia Jiménez Bolaños

Πηγή: Multiscale Modeling & Simulation. 23:668-685

Θεματικοί όροι: 35B27, 35J47, 74A40, 74F15, Mathematics - Analysis of PDEs, Second-order elliptic systems, Electromagnetic effects in solid mechanics, homogenization, FOS: Mathematics, Boundary value problems for second-order elliptic systems, Random materials and composite materials, high-contrast, two-scale convergence, Homogenization in context of PDEs, PDEs in media with periodic structure, Analysis of PDEs (math.AP)

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Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2401.11279

Existence of distributional solutions to some quasilinear degenerate elliptic systems with low integrability of the datum

Συγγραφείς: Patrizia Di Gironimo, Salvatore Leonardi, Francesco Leonetti, Marta Macrì

Πηγή: Advances in Calculus of Variations. 18:275-295

Θεματικοί όροι: Quasilinear elliptic equations, quasilinear degenerate elliptic system, existence, Boundary value problems for second-order elliptic systems, Existence problems for PDEs: global existence, local existence, non-existence, Degenerate elliptic equations

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Σύνδεσμος πρόσβασης: https://zbmath.org/8018524
https://doi.org/10.1515/acv-2023-0065
https://hdl.handle.net/20.500.11769/660729
https://doi.org/10.1515/acv-2023-0065

On the principal eigenvalue of cooperative elliptic systems with applications to a population model with two reversible states

Συγγραφείς: Wang, Lin, Lam, King-Yeung, Zhang, Bo

Πηγή: Discrete and Continuous Dynamical Systems - B. 30:2306-2325

Θεματικοί όροι: Population dynamics (general), Reaction-diffusion equations, Problems related to evolution, principal eigenvalue, Boundary value problems for second-order elliptic systems, Estimates of eigenvalues in context of PDEs, Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators, Initial-boundary value problems for second-order parabolic systems, one space dimension, cooperative elliptic system, mathematical ecology, evolution of dispersal

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Σύνδεσμος πρόσβασης: https://zbmath.org/8019995
https://doi.org/10.3934/dcdsb.2024166

Local and nonlocal critical growth anisotropic quasilinear elliptic systems

Συγγραφείς: Artur Jorge Marinho, Kanishka Perera

Πηγή: Calculus of Variations and Partial Differential Equations. 64

Θεματικοί όροι: Mathematics - Analysis of PDEs, Dirichlet condition, FOS: Mathematics, Boundary value problems for second-order elliptic systems, multiplicity, Existence problems for PDEs: global existence, local existence, non-existence, anisotropic quasilinear elliptic system, Quasilinear elliptic equations with \(p\)-Laplacian, \(p\)-Laplacian, Analysis of PDEs (math.AP)

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Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2412.01997
https://zbmath.org/8032675
https://doi.org/10.1007/s00526-025-02985-9

Existence of countably many p-k-convex solutions for p-k-Hessian equations and systems: Existence of countably many \(p\)-\(k\)-convex solutions for \(p\)-\(k\)-Hessian equations and systems

Συγγραφείς: Meiqiang Feng

Πηγή: Annals of Functional Analysis. 16

Θεματικοί όροι: Monge-Ampère equations, \(p\)-\(k\)-Hessian equation and system, Boundary value problems for second-order elliptic systems, multiplicity, topological approach, \(p\)-\(k\)-convex solution

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Σύνδεσμος πρόσβασης: https://zbmath.org/8036317
https://doi.org/10.1007/s43034-025-00424-6

Degenerate Kirchhoff problems with nonlinear Neumann boundary condition

Συγγραφείς: Franziska Borer, Marcos T.O. Pimenta, Patrick Winkert

Πηγή: Journal of Functional Analysis. 289:110933

Θεματικοί όροι: Variational methods for second-order elliptic equations, Boundary value problems for second-order elliptic systems, Existence problems for PDEs: global existence, local existence, non-existence, constraint set, degenerate Kirchhoff problem, Elliptic equations and elliptic systems, Nonlinear boundary value problems for nonlinear elliptic equations, Mathematics - Analysis of PDEs, Boundary value problems for second-order elliptic equations, Quasilinear elliptic equations, FOS: Mathematics, nodal ground state solution, least energy sign-changing solution, Analysis of PDEs (math.AP)

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Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2403.17172

Spatial profiles of a reaction-diffusion epidemic model with nonlinear incidence mechanism and varying total population

Συγγραφείς: Peng, Rui, Salako, Rachidi B., Wu, Yixiang

Πηγή: Nonlinearity. 38:045006

Θεματικοί όροι: varying total population, Mathematics - Analysis of PDEs, 35J57, 35B40, 35Q92, 92D30, Epidemiology, nonlinear infection mechanism, Asymptotic behavior of solutions to PDEs, PDEs in connection with biology, chemistry and other natural sciences, reaction-diffusion SIS epidemic model, FOS: Mathematics, Boundary value problems for second-order elliptic systems, Analysis of PDEs (math.AP)

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Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2411.00582
https://zbmath.org/8012022
https://doi.org/10.1088/1361-6544/adbba9

A one-sided two phase Bernoulli free boundary problem

Συγγραφείς: Ferreri, Lorenzo, Velichkov, Bozhidar

Πηγή: Journal de Mathématiques Pures et Appliquées. 195:103659

Θεματικοί όροι: Mathematics - Analysis of PDEs, Asymptotic behavior of solutions to PDEs, Almgren's frequency function, optimal regularity, FOS: Mathematics, Free boundary problems for PDEs, Boundary value problems for second-order elliptic systems, two-phase free boundary system, Variational methods for elliptic systems, improvement of flatness, Analysis of PDEs (math.AP)

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Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2309.01749
https://zbmath.org/7991276
https://doi.org/10.1016/j.matpur.2025.103659

A spatially heterogeneous predator-prey model

Συγγραφείς: López Gómez, Julián, Muñoz Hernández, Eduardo

Συνεισφορές: Universidad Complutense de Madrid

Πηγή: E-Prints Complutense. Archivo Institucional de la UCM
instname
Docta Complutense

Θεματικοί όροι: Lotka-Volterra and Holling-Tanner kinetics, Lotka-Volterra kinetics, Population dynamics (general), predator-prey systems, PDEs in connection with biology, chemistry and other natural sciences, Biomatemáticas, 51:57, Boundary value problems for second-order elliptic systems, 0101 mathematics, uniqueness of coexistence states, 2404 Biomatemáticas, 01 natural sciences

Περιγραφή αρχείου: application/pdf; application/xml

Σύνδεσμος πρόσβασης: https://www.aimsciences.org/article/exportPdf?id=7a916904-5835-41fa-9e25-30922c389849
https://hdl.handle.net/20.500.14352/7282
https://zbmath.org/7360359
https://doi.org/10.3934/dcdsb.2020081
https://ftp.aimsciences.org/article/doi/10.3934/dcdsb.2020081?viewType=html
https://www.aimsciences.org/article/exportPdf?id=7a916904-5835-41fa-9e25-30922c389849
https://www.aimsciences.org/article/doi/10.3934/dcdsb.2020081
https://produccioncientifica.ucm.es/documentos/60643354d929ac2b1ce448b2

Diffusive Epidemiological Predator–Prey Models with Ratio-Dependent Functional Responses and Nonlinear Incidence Rate: Diffusive epidemiological predator-prey models with ratio-dependent functional responses and nonlinear incidence rate

Συγγραφείς: Wonhyung Choi, Kwangjoong Kim, Inkyung Ahn

Πηγή: Journal of Dynamical and Control Systems. 28:43-57

Θεματικοί όροι: Population dynamics (general), coexistence and non-coexistence of three species, Reaction-diffusion equations, Boundary value problems for second-order elliptic systems, predator-prey model, steady state solutions, 14. Life underwater, 0101 mathematics, 01 natural sciences

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Σύνδεσμος πρόσβασης: https://zbmath.org/7462064
https://doi.org/10.1007/s10883-020-09512-3
https://link.springer.com/article/10.1007/s10883-020-09512-3

Multiple solutions for critical nonhomogeneous elliptic systems in non-contractible domain: Multiple solutions for critical nonhomogeneous elliptic systems in noncontractible domain

Συγγραφείς: Xueliang Duan, Haitao Yang, Gongming Wei

Πηγή: Mathematical Methods in the Applied Sciences. 44:8615-8637

Θεματικοί όροι: second-order elliptic system, existence, variational methods, Boundary value problems for second-order elliptic systems, Existence problems for PDEs: global existence, local existence, non-existence, Variational methods for elliptic systems, 0101 mathematics, 16. Peace & justice, 01 natural sciences, Dirichlet problem

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/7377110
https://doi.org/10.22541/au.159738867.74138234
https://doi.org/10.1002/mma.7289
https://onlinelibrary.wiley.com/doi/full/10.1002/mma.7289
http://ui.adsabs.harvard.edu/abs/2021MMAS...44.8615D/abstract

On the Ground State to Hamiltonian Elliptic System with Choquard’s Nonlinear Term: On the ground state to Hamiltonian elliptic system with Choquard's nonlinear term

Συγγραφείς: Wenbo Wang, Jianwen Zhou, Yongkun Li

Πηγή: Advances in Mathematical Physics, Vol 2020 (2020)

Θεματικοί όροι: Semilinear elliptic equations, Physics, QC1-999, Boundary value problems for second-order elliptic systems, Existence problems for PDEs: global existence, local existence, non-existence, 0101 mathematics, existence of a ground state solution, 01 natural sciences, Hamiltonian elliptic system, nonlinearity of Choquard-type, 6. Clean water, Dirichlet problem

Περιγραφή αρχείου: application/xml; text/xhtml

Σύνδεσμος πρόσβασης: https://downloads.hindawi.com/journals/amp/2020/8358629.pdf
https://zbmath.org/7427622
https://doi.org/10.1155/2020/8358629
https://doaj.org/article/9779ec13cb5b4199bce5d314b19cef3a
https://www.hindawi.com/journals/amp/2020/8358629/
https://downloads.hindawi.com/journals/amp/2020/8358629.pdf
http://downloads.hindawi.com/journals/amp/2020/8358629.pdf
https://ideas.repec.org/a/hin/jnlamp/8358629.html

Singularities and regularity of stationary Stokes and Navier-Stokes equations on polygonal domains and their treatments

Συγγραφείς: Yasir Nadeem Anjam

Πηγή: AIMS Mathematics, Vol 5, Iss 1, Pp 440-466 (2020)

Θεματικοί όροι: Compressible Navier-Stokes equations, regularity, Smoothness and regularity of solutions to PDEs, Navier-Stokes equations for incompressible viscous fluids, corner singularities, Boundary value problems for second-order elliptic systems, Analyticity in context of PDEs, stokes problem, non-convex corners, navier-stokes system, PDEs in connection with fluid mechanics, 01 natural sciences, Stokes and related (Oseen, etc.) flows, Navier-Stokes system, Stokes problem, QA1-939, 0101 mathematics, Mathematics

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Σύνδεσμος πρόσβασης: https://doaj.org/article/69cc24a2388e4d2cbfad1ecc12c92155
https://www.aimspress.com/article/id/4478

Precise Morrey regularity of the weak solutions to a kind of quasilinear systems with discontinuous data

Συγγραφείς: Luisa Fattorusso, Lubomira Softova

Πηγή: Electronic Journal of Qualitative Theory of Differential Equations, Vol 2020, Iss 36, Pp 1-13 (2020)

Θεματικοί όροι: componentwise coercivity, 35J55, 35B40, QA Mathematics / matematika, PDEs with low regular coefficients and/or low regular data, Smoothness and regularity of solutions to PDEs, Reifenberg-flat domain, 0211 other engineering and technologies, Boundary value problems for second-order elliptic systems, Morrey spaces, 02 engineering and technology, morrey spaces, quasilinear elliptic systems, reifenberg-flat domain, 01 natural sciences, controlled growth conditions, Mathematics - Analysis of PDEs, QA1-939, FOS: Mathematics, 0101 mathematics, Mathematics, Analysis of PDEs (math.AP)

Περιγραφή αρχείου: application/xml; text

Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2006.06967
https://doaj.org/article/715ddd6456aa48518f0f27211ad7cdef
http://www.math.u-szeged.hu/ejqtde/p8176.pdf
https://iris.unirc.it/handle/20.500.12318/59306
https://www.iris.unisa.it/handle/11386/4717754

Existence of Solutions of a Superlinear Elliptic System at Resonance: Existence of solutions of a superlinear elliptic system at resonance

Συγγραφείς: Ma, Ruyun, Ma, Mantang, Zhu, Yan

Πηγή: Qualitative Theory of Dynamical Systems. 22

Θεματικοί όροι: elliptic system, a priori estimates, existence, 0211 other engineering and technologies, Boundary value problems for second-order elliptic systems, Existence problems for PDEs: global existence, local existence, non-existence, 02 engineering and technology, 0101 mathematics, A priori estimates in context of PDEs, 01 natural sciences, superlinear nonlinearities

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Σύνδεσμος πρόσβασης: https://zbmath.org/7659900
https://doi.org/10.1007/s12346-023-00754-7

Existence and multiplicity of nontrivial solutions for a class of Kirchhoff-Schrödinger-Poisson systems

Συγγραφείς: Che, Guofeng, Chen, Haibo

Πηγή: Bulletin of the Belgian Mathematical Society - Simon Stevin. 29

Θεματικοί όροι: existence, variational methods, Boundary value problems for second-order elliptic systems, Existence problems for PDEs: global existence, local existence, non-existence, Variational methods for elliptic systems, Kirchhoff-Schrödinger-Poisson system, Dirichlet problem

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/7739252
https://doi.org/10.36045/j.bbms.211028

Dynamic behavior analysis of a prey-predator model with ratio-dependent Monod-Haldane functional response

Συγγραφείς: Xiaozhou Feng, Yi Song, Xiaomin An

Πηγή: Open Mathematics, Vol 16, Iss 1, Pp 623-635 (2018)

Θεματικοί όροι: Bifurcations in context of PDEs, 35b40, PDEs in connection with biology, chemistry and other natural sciences, Boundary value problems for second-order elliptic systems, Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian, prey-predator model, 16. Peace & justice, 01 natural sciences, 35j60, Population dynamics (general), 35j25, bifurcation, QA1-939, bifurcation, stability, multiplicity, 0101 mathematics, 10. No inequality, coexistence state, Mathematics

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://www.degruyter.com/document/doi/10.1515/math-2018-0060/pdf
https://doaj.org/article/54016e9326d1467686bb54da94d57075
https://www.degruyter.com/document/doi/10.1515/math-2018-0060/html
https://www.degruyter.com/view/j/math.2018.16.issue-1/math-2018-0060/math-2018-0060.xml
https://www.degruyter.com/view/journals/math/16/1/article-p623.xml

Existence of bounded solutions for some quasilinear degenerate elliptic systems

Συγγραφείς: Di Gironimo, P, Leonetti, F, Macrì, M, Petricca, PV

Θεματικοί όροι: Quasilinear elliptic equations, existence, Degenerate, elliptic, system, bounded, Boundary value problems for second-order elliptic systems, quasilinear system of degenerate equations, Existence problems for PDEs: global existence, local existence, non-existence, Degenerate elliptic equations, Degenerate, elliptic, system, existence, bounded

Περιγραφή αρχείου: application/xml; application/pdf

Σύνδεσμος πρόσβασης: https://zbmath.org/7377698
https://hdl.handle.net/11386/4774404
https://hdl.handle.net/11697/174512