Multiple Ordered Solutions for a Class of Problems Involving the 1-Laplacian Operator
In this paper, we use minimax methods, comparison arguments, and an approximation result to show the existence and multiplicity of solutions for the following class of problems: {-Δ1v=λf(v)inΩ,v≥0inΩ,v=0on∂Ω,where Ω is a bounded smooth domain of RN, N≥ 1 , λ> 0 is a parameter and the non-linearit...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2022 |
| País: | Brasil |
| Institución: | Universidade Estadual Paulista (UNESP) |
| Repositorio: | Repositório Institucional da UNESP |
| Idioma: | inglés |
| OAI Identifier: | oai:repositorio.unesp.br:11449/230405 |
| Acceso en línea: | http://dx.doi.org/10.1007/s12220-022-00881-8 http://hdl.handle.net/11449/230405 |
| Access Level: | acceso abierto |
| Palabra clave: | 1-Laplacian operator Quasilinear elliptic operator |
| Sumario: | In this paper, we use minimax methods, comparison arguments, and an approximation result to show the existence and multiplicity of solutions for the following class of problems: {-Δ1v=λf(v)inΩ,v≥0inΩ,v=0on∂Ω,where Ω is a bounded smooth domain of RN, N≥ 1 , λ> 0 is a parameter and the non-linearity f: R→ R is a continuous function that can change sign and satisfies an area condition. |
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