Academic Journal
Local Lipschitz continuity of the minimizers of nonuniformly convex functionals under the Lower Bounded Slope Condition.
| Τίτλος: | Local Lipschitz continuity of the minimizers of nonuniformly convex functionals under the Lower Bounded Slope Condition. |
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| Συγγραφείς: | Giannetti, Flavia1 (AUTHOR) flavia.giannetti@unina.it, Treu, Giulia2 (AUTHOR) giulia.treu@unipd.it |
| Πηγή: | Calculus of Variations & Partial Differential Equations. May2026, Vol. 65 Issue 5, p1-26. 26p. |
| Θεματικοί όροι: | *Calculus of variations, *Functionals, *Critical point theory |
| Περίληψη: | We prove the local Lipschitz regularity of the minimizers of functionals of the form I (u) = ∫ Ω f (∇ u (x)) + g (x) u (x) d x u ∈ ϕ + W 0 1 , 1 (Ω) where g is bounded and ϕ satisfies the Lower Bounded Slope Condition. The function f is assumed to be convex but not uniformly convex everywhere. As a byproduct, we also prove the existence of a locally Lipschitz minimizer for a class of functionals of the type above but allowing the function f to be nonconvex. [ABSTRACT FROM AUTHOR] |
| Βάση Δεδομένων: | Academic Search Index |
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