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arXiv · 1708.06657

Periodic solutions of Euler-Lagrange equations in an anisotropic Orlicz-Sobolev space setting

Fernando D. Mazzone·Sonia Acinas
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Abstract

In this paper we consider the problem of finding periodic solutions of certain Euler-Lagrange equations, which include, among others, equations involving the $p$-Laplace and, more generality, 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 for the type of problem considered.

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Fernando D. Mazzone, Sonia Acinas. 2017-08-22. Periodic solutions of Euler-Lagrange equations in an anisotropic Orlicz-Sobolev space setting. https://arxiv.org/abs/1708.06657

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