Remarks on Quasiconvexity and Stability of Equilibria for Variational Integrals

DOI10.2307/2159609zbMath0755.49005OpenAlexW4238581838MaRDI QIDQ3991922

Zhang Kewei

Publication date: 28 June 1992

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2159609

zbMATH Keywords

integral functionalspolynomial growthEuler-Lagrange equationlocal minimizers

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Regularity of solutions in optimal control (49N60) Variational methods for elliptic systems (35J50) Optimality conditions for free problems in two or more independent variables (49K10)

Related Items (7)

Direct approach to the problem of strong local minima in calculus of variations ⋮ BMO \(\varepsilon\)-regularity results for solutions to Legendre-Hadamard elliptic systems ⋮ Necessary and sufficient conditions for the strong local minimality of C¹ extremals on a class of non-smooth domains ⋮ Boundary regularity and sufficient conditions for strong local minimizers ⋮ Sufficient conditions for strong local minima: The case of $C^{1}$ extremals ⋮ $\mathcal{A}$-Quasiconvexity, Gårding Inequalities, and Applications in PDE Constrained Problems in Dynamics and Statics ⋮ Weak-strong uniqueness for measure-valued solutions to the equations of quasiconvex adiabatic thermoelasticity

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