Partial Regularity Results for Asymptotic Quasiconvex Functionals with General Growth
Teresa Isernia, Chiara Leone, Anna Verde

TL;DR
This paper establishes partial regularity for minimizers of vectorial integrals with general growth, under asymptotic quasiconvexity conditions, advancing understanding in the calculus of variations.
Contribution
It introduces a novel approach to partial regularity for functionals with general growth, relying on asymptotic quasiconvexity assumptions.
Findings
Proves partial regularity of minimizers under new conditions
Extends regularity results to broader class of functionals
Provides techniques applicable to calculus of variations problems
Abstract
We prove partial regularity for minimizers of vectorial integrals of the Calculus of Variations, with general growth condition, imposing quasiconvexity assumptions only in an asymptotic sense.
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Taxonomy
TopicsAdvanced Mathematical Modeling in Engineering · Nonlinear Partial Differential Equations · Analytic and geometric function theory
