Positive solutions for discontinuous problems with applications to φ-Laplacian equations
We establish existence and localization of positive solutions for general discontinuous problems for which a Harnack-type inequality holds. In this way, a wide range of ordinary differential problems such as higher order boundary value problems or -Laplacian equations can be treated. In particular,...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2018 |
| País: | España |
| Institución: | Universidad de Santiago de Compostela (USC) |
| Repositorio: | Minerva. Repositorio Institucional de la Universidad de Santiago de Compostela |
| Idioma: | inglés |
| OAI Identifier: | oai:minerva.usc.gal:10347/44494 |
| Acceso en línea: | https://hdl.handle.net/10347/44494 |
| Access Level: | acceso abierto |
| Palabra clave: | Discontinuous differential equations Positive solution Multiple solutions φ-Laplacian equations Bohnenblust–Karlin fixed point theorem |
| Sumario: | We establish existence and localization of positive solutions for general discontinuous problems for which a Harnack-type inequality holds. In this way, a wide range of ordinary differential problems such as higher order boundary value problems or -Laplacian equations can be treated. In particular, we study the Dirichlet–Neumann problem involving the -Laplacian. Our results rely on Bohnenblust–Karlin fixed point theorem which is applied to a multivalued operator defined in a product space. |
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