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

Fernando D. Mazzone; Sonia Acinas

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

Autores: Fernando D. Mazzone, Sonia Acinas
Localización: Revista de la Unión Matemática Argentina, ISSN 0041-6932, ISSN-e 1669-9637, Vol. 60, Nº. 2, 2019, págs. 323-341
Idioma: inglés
DOI: 10.33044/revuma.v60n2a03
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Resumen
- 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 pp, qq-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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