Sub-supersolution method for a quasilinear elliptic problem involving the 1-laplacian operator and a gradient term
In this work we study a quasilinear elliptic problem involving the 1-laplacian operator and a gradient term. The problem requires the definition of a suitable sense of solution, which allows us to show the existence of a solution in BV(Ω), having no jump part. Despite the lack of regularity of the s...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2020 |
| País: | Brasil |
| Institución: | Universidade Estadual Paulista (UNESP) |
| Repositorio: | Repositório Institucional da UNESP |
| Idioma: | inglés |
| OAI Identifier: | oai:repositorio.unesp.br:11449/197957 |
| Acceso en línea: | http://dx.doi.org/10.1016/j.jfa.2019.108325 http://hdl.handle.net/11449/197957 |
| Access Level: | acceso abierto |
| Palabra clave: | 1-Laplacian operator Functions of bounded variation Sub-supersolution method |
| Sumario: | In this work we study a quasilinear elliptic problem involving the 1-laplacian operator and a gradient term. The problem requires the definition of a suitable sense of solution, which allows us to show the existence of a solution in BV(Ω), having no jump part. Despite the lack of regularity of the solutions, we develop a sub-supersolution approach, together with a thorough analysis of the distributional derivative of the functions in BV(Ω). |
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