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

Fernando D. Mazzone, Sonia Acinas

• 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.