Singular minimisers in the calculus of variations: A degenerate form of cavitation

DOI10.1016/S0294-1449(16)30226-8zbMath0769.49030OpenAlexW61948416MaRDI QIDQ1803497

Sivaloganathan, Jeyabal

Publication date: 29 June 1993

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPC_1992__9_6_657_0

zbMATH Keywords

stabilityenergy integralelastic bodycavitationexistence of minimizerssingular minimizersradial mapssmooth variations

Mathematics Subject Classification ID

Regularity of solutions in optimal control (49N60)

Related Items (5)

Higher regularity of uniform local minimizers in Calculus of Variations ⋮ A class of nonlinear elasticity problems with no local but many global minimizers ⋮ A characterisation of the boundary displacements which induce cavitation in an elastic body ⋮ Minimizers with topological singularities in two dimensional elasticity ⋮ Energy minimising properties of the radial cavitation solution in incompressible nonlinear elasticity

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