Sufficient conditions for strong local minima: The case of $C^{1}$ extremals
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Publication:3617623
DOI10.1090/S0002-9947-08-04786-7zbMath1157.49027OpenAlexW2110960750MaRDI QIDQ3617623
Tadele Mengesha, Yury Grabovsky
Publication date: 30 March 2009
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9947-08-04786-7
Optimality conditions for problems involving partial differential equations (49K20) Methods involving semicontinuity and convergence; relaxation (49J45) Optimality conditions for free problems in two or more independent variables (49K10)
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Weak variations of Lipschitz graphs and stability of phase boundaries ⋮ Incompatible sets of gradients and metastability ⋮ Higher regularity of uniform local minimizers in Calculus of Variations ⋮ Weak Lower Semicontinuity of Integral Functionals and Applications ⋮ On the uniqueness of energy minimizers in finite elasticity ⋮ 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 ⋮ Quasiconvexity at the boundary and the nucleation of austenite ⋮ Taylor’s theorem for functionals on BMO with application to BMO local minimizers ⋮ $\mathcal{A}$-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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