On one-dimensional superlinear indefinite problems involving the ϕ -Laplacian
Let Ω : = (a, b) ⊂ R, m∈ L1(Ω) and ϕ: R→ R be an odd increasing homeomorphism. We consider the existence of positive solutions for problems of the form {-ϕ(u′)′=m(x)f(u)inΩ,u=0on∂Ω,where f: [0 , ∞) → [0 , ∞) is a continuous function which is, roughly speaking, superlinear with respect to ϕ. Our appr...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2018 |
| País: | Argentina |
| Institución: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/186138 |
| Acceso en línea: | http://hdl.handle.net/11336/186138 |
| Access Level: | acceso abierto |
| Palabra clave: | ELLIPTIC ONE-DIMENSIONAL PROBLEMS POSITIVE SOLUTIONS Φ-LAPLACIAN https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Sumario: | Let Ω : = (a, b) ⊂ R, m∈ L1(Ω) and ϕ: R→ R be an odd increasing homeomorphism. We consider the existence of positive solutions for problems of the form {-ϕ(u′)′=m(x)f(u)inΩ,u=0on∂Ω,where f: [0 , ∞) → [0 , ∞) is a continuous function which is, roughly speaking, superlinear with respect to ϕ. Our approach combines the Guo-Krasnoselskiĭ fixed-point theorem with some estimates on related nonlinear problems. We mention that our results are new even in the case m≥ 0. |
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