$\mathcal{A}$-Quasiconvexity, Gårding Inequalities, and Applications in PDE Constrained Problems in Dynamics and Statics

DOI10.1137/20M1345128zbMath1470.35233arXiv2005.12803OpenAlexW3185147866MaRDI QIDQ5005967

Konstantinos Koumatos, Andreas P. Vikelis

Publication date: 12 August 2021

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.12803

zbMATH Keywords

conservation lawsrelative entropylocal minimizersPDE constraintsGårding inequality\(\mathcal{A}\)-quasiconvexityWeierstrass problem

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Hyperbolic conservation laws (35L65) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (4)

Quasiconvexity, null Lagrangians, and Hardy space integrability under constant rank constraints ⋮ Lower semi-continuity for 𝒜-quasiconvex functionals under convex restrictions ⋮ \(\mathcal{A}\)-variational principles ⋮ Weak-strong uniqueness for measure-valued solutions to the equations of quasiconvex adiabatic thermoelasticity

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