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arXiv · 1904.10371

Non-coercive radially symmetric variational problems: Existence, symmetry and convexity of minimizers

Graziano Crasta·Annalisa Malusa
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Abstract

We prove existence of radially symmetric solutions and validity of Euler-Lagrange necessary conditions for a class of variational problems such that neither direct methods nor indirect methods of Calculus of Variations apply. We obtain existence and qualitative properties of the solutions by means of ad-hoc superlinear perturbations of the functional having the same minimizers of the original one.

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Graziano Crasta, Annalisa Malusa. 2019-04-23. Non-coercive radially symmetric variational problems: Existence, symmetry and convexity of minimizers. https://doi.org/10.3390/sym11050688

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