Periodic solutions of Euler-Lagrange equations with sublinear potentials in an Orlicz-Sobolev space setting
In this paper, we obtain existence results of periodic solutions of hamiltoniansystems in the Orlicz-Sobolev space W^1 LPsi([0; T]). We employ the directmethod of calculus of variations and we consider a potential function Fsatisfying the inequality |abla F(t,x)|leq b_1(t) Phi_0´(|x|)+b_2(t), with b...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2017 |
| País: | Argentina |
| Institución: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/66226 |
| Acceso en línea: | http://hdl.handle.net/11336/66226 |
| Access Level: | acceso abierto |
| Palabra clave: | ORLICZ-SOBOLEV SPACES EULER LAGRANGE N FUNCTIONS CRITICAL POINTS https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Sumario: | In this paper, we obtain existence results of periodic solutions of hamiltoniansystems in the Orlicz-Sobolev space W^1 LPsi([0; T]). We employ the directmethod of calculus of variations and we consider a potential function Fsatisfying the inequality |abla F(t,x)|leq b_1(t) Phi_0´(|x|)+b_2(t), with b_1, b_2in L^1 and certain N-functions Phi_0. |
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