Calculus of Variations and Geometric Measure Theory
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A. Malusa - G. Crasta

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

created by malusa on 14 May 2019

[BibTeX]

Accepted Paper

Inserted: 14 may 2019

Journal: Symmetry
Year: 2019

ArXiv: 1904.10371 PDF

Abstract:

We prove existence of radially symmetric solutions and validity of Euler-Lagrange necessary conditions for a class of variational problems with slow growth. The results are obtained through the construction of suitable superlinear perturbations of the functional having the same minimizers of the original one.

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