Roughening instability of broken extremals

DOI10.1007/s00205-010-0377-8zbMath1223.49049OpenAlexW2101769107MaRDI QIDQ717467

Yury Grabovsky, L. M. Truskinovskij

Publication date: 4 October 2011

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00205-010-0377-8

zbMATH Keywords

shape optimizationbroken Weierstrass-Erdmann extremalgeneral jump conditiongeneralizations of Weierstrass needlesvectorial variational problem

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30)

Related Items (10)

Legendre-Hadamard conditions for two-phase configurations ⋮ Phase transformations surfaces and exact energy lower bounds ⋮ Phase equilibria in isotropic solids ⋮ When rank-one convexity meets polyconvexity: an algebraic approach to elastic binodal ⋮ Weak variations of Lipschitz graphs and stability of phase boundaries ⋮ Marginal material stability ⋮ A class of nonlinear elasticity problems with no local but many global minimizers ⋮ Explicit relaxation of a two-well Hadamard energy ⋮ On stress-affected propagation and stability of chemical reaction fronts in solids ⋮ Normality condition in elasticity

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