| Texto completo | |
| Autor(es): |
Radulescu, Vicentiu D.
;
Stapenhorst, Matheus F.
;
Winkert, Patrick
Número total de Autores: 3
|
| Tipo de documento: | Artigo Científico |
| Fonte: | BULLETIN OF THE LONDON MATHEMATICAL SOCIETY; v. N/A, p. 24-pg., 2025-09-12. |
| Resumo | |
In this paper, we study elliptic equations of the form where is the logarithmic double phase operator given by is Euler's number, , , is a bounded domain with Lipschitz boundary , , with , and . Under mild assumptions on the nonlinearity we prove multiplicity results for the problem above and get two constant sign solutions and another third nontrivial solution. This third solution is obtained by using the theory of critical groups. As a result of independent interest, we show that every weak solution of the problem above is essentially bounded. (AU) | |
| Processo FAPESP: | 23/06617-1 - EDPs elípticas quasilineares envolvendo o operador (1,q)-laplaciano e o operador double phase |
| Beneficiário: | Marcos Tadeu de Oliveira Pimenta |
| Modalidade de apoio: | Auxílio à Pesquisa - Regular |
| Processo FAPESP: | 22/15727-2 - Problemas elípticos quasilineares singulares envolvendo o operador 1-laplaciano |
| Beneficiário: | Matheus Frederico Stapenhorst |
| Modalidade de apoio: | Bolsas no Exterior - Estágio de Pesquisa - Pós-Doutorado |
| Processo FAPESP: | 21/12773-0 - Problemas singulares quasilineares elípticos envolvendo os operadores 1-laplaciano e curvatura-média |
| Beneficiário: | Matheus Frederico Stapenhorst |
| Modalidade de apoio: | Bolsas no Brasil - Pós-Doutorado |