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Periodic solutions of Euler–Lagrange equations in an anisotropic
Orlicz–Sobolev space setting
Volume 60, no. 2
(2019),
pp. 323–341
https://doi.org/10.33044/revuma.v60n2a03
Abstract
We consider the problem of finding periodic solutions of certain
Euler–Lagrange equations which include, among others, equations involving the
$p$-Laplace operator and, more generally, the $(p,q)$-Laplace operator. We
employ the direct method of the calculus of variations in the framework of
anisotropic Orlicz–Sobolev spaces. These spaces appear to be useful in
formulating a unified theory of existence of solutions for such a problem.
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Published by the Unión Matemática Argentina |
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