In this note we solve a problem posed by J. M. Ball in [2] about the uniqueness of smooth equilibrium solutions to boundary value prob- lems for strictly polyconvex functionals We give several examples of non-uniqueness. The main example is a boundary value problem with at least two different global minimizers, both analytic up to the boundary. All these examples are suggested by the theory of Minimal Surfaces.
Non-uniqueness of minimizers for strictly polyconvex functionals / Spadaro, E. N.. - In: ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS. - ISSN 0003-9527. - 193:3(2009), pp. 659-678. [10.1007/s00205-008-0156-y]
Non-uniqueness of minimizers for strictly polyconvex functionals
Spadaro, E. N.
2009
Abstract
In this note we solve a problem posed by J. M. Ball in [2] about the uniqueness of smooth equilibrium solutions to boundary value prob- lems for strictly polyconvex functionals We give several examples of non-uniqueness. The main example is a boundary value problem with at least two different global minimizers, both analytic up to the boundary. All these examples are suggested by the theory of Minimal Surfaces.File allegati a questo prodotto
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