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.
Non-Coercive Radially Symmetric Variational Problems: Existence, Symmetry and Convexity of Minimizers / Crasta, Graziano; Malusa, Annalisa. - In: SYMMETRY. - ISSN 2073-8994. - 11:5(2019), p. 688. [10.3390/sym11050688]
Non-Coercive Radially Symmetric Variational Problems: Existence, Symmetry and Convexity of Minimizers
Crasta, Graziano
;Malusa, Annalisa
2019
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.File allegati a questo prodotto
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