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Non-Coercive Radially Symmetric Variational Problems: Existence, Symmetry and Convexity of Minimizers

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We prove the existence of radially symmetric solutions and the validity of Euler–Lagrange necessary conditions for a class of variational problems with slow growth. The results are obtained through the… Click to show full abstract

We prove the existence of radially symmetric solutions and the 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.

Keywords: coercive radially; non coercive; symmetric variational; symmetry; radially symmetric; variational problems

Journal Title: Symmetry
Year Published: 2019

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