Calculus of Variations and Geometric Measure Theory

A. Malusa - G. Crasta

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

created by malusa on 14 May 2019
modified on 15 Jul 2020


Published Paper

Inserted: 14 may 2019
Last Updated: 15 jul 2020

Journal: Symmetry
Year: 2019

ArXiv: 1904.10371 PDF


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.