We study the existence of minimizers of a regularized non-convex functional in the context of variable exponent Sobolev spaces by application of the direct method in the calculus of variations. The results are new even in the framework of classical Lebesgue spaces.
On minimization of a non-convex functional in variable exponent spaces / Chacón, Gerardo R.; Colucci, Renato; Rafeiro, Humberto; Vargas, Andrés. - In: INTERNATIONAL JOURNAL OF MATHEMATICS. - ISSN 0129-167X. - STAMPA. - 25:1(2014), p. 1450011. [10.1142/S0129167X14500116]
On minimization of a non-convex functional in variable exponent spaces
Colucci, Renato;
2014-01-01
Abstract
We study the existence of minimizers of a regularized non-convex functional in the context of variable exponent Sobolev spaces by application of the direct method in the calculus of variations. The results are new even in the framework of classical Lebesgue spaces.File in questo prodotto:
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