Regularidade Hölder até a fronteira do gradiente de soluções fracas de EDPs singulares/degeneradas em espaços de Orlicz e aplicações a problemas de fronteira livre
In this thesis work we discus results that concern the regularity of solutions in the weak sense for elliptical equations of divergent form singular/degenerate. We consider such solutions defined in half-balls. Under the hypothesis of a given boundary C1,α for 0 < α < 1, we show that the solut...
| Autor: | |
|---|---|
| Tipo de recurso: | tesis doctoral |
| Estado: | Versión publicada |
| Fecha de publicación: | 2024 |
| País: | Brasil |
| Institución: | Universidade Federal do Ceará (UFC) |
| Repositorio: | Repositório Institucional da Universidade Federal do Ceará (UFC) |
| Idioma: | portugués |
| OAI Identifier: | oai:repositorio.ufc.br:riufc/79315 |
| Acceso en línea: | http://repositorio.ufc.br/handle/riufc/79315 |
| Access Level: | acceso abierto |
| Palabra clave: | CNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA::ANALISE::EQUACOES DIFERENCIAIS PARCIAIS EDPs singulares/degeneradas argumento de perturbação g-Laplaciano regularidade até a fronteira problemas de fronteira livre problema de propagação de chamas singular/degenerate PDEs perturbation argument g-Laplacian regularity up to the boundary free boundary problems flame propagation problems |
| Sumario: | In this thesis work we discus results that concern the regularity of solutions in the weak sense for elliptical equations of divergent form singular/degenerate. We consider such solutions defined in half-balls. Under the hypothesis of a given boundary C1,α for 0 < α < 1, we show that the solution of a Dirichlet problem of this type has regularity C1,β for some 0 < β ≤ α up to the boundary. We then apply this result to theorems in the context of free boundary problems and combustion and flame propagation problems. |
|---|