| Texto completo | |
| Autor(es): |
Pimenta, Marcos T. O.
;
Winkert, Patrick
Número total de Autores: 2
|
| Tipo de documento: | Artigo Científico |
| Fonte: | Annali di Matematica Pura ed Applicata; v. N/A, p. 17-pg., 2025-03-25. |
| Resumo | |
In this paper we study strongly singular problems with Dirichlet boundary condition on bounded domains given by<br /> -div (Vul Vu+ (x) VuVu) h(x) (+) in Omega,<br /> where I <p< N. p 0 <euro> L (2), 1 <r and te L(2) with hix) 0 for aa.. 2. Since the exponent r is larger than one, the corresponding energy functional is not continuous anymore and so the related Nehari manifold N={u is an element of W1,H0():& Vert;del u & Vert;pp+& Vert;del u & Vert;qq,mu-integral h(x)(u+)1-rdx=0}<br /> is not closed in the Musiclak-Orlicz Sobolev space w. (2). Instead we are minimizing the<br /> energy functional over the constraint set<br /> M={u is an element of W-0(1,H)(Omega):& Vert;del u & Vert;pp+& Vert;del u & Vert;qq,mu-integral h(x)(u+)1-rdx >= 0},<br /> which turns out to be closed in W (2) and prove the existence of at least one weak solution. Our result is even new in the case when the weight function a is away from zero. (AU) | |
| Processo FAPESP: | 23/05300-4 - Problemas elípticos envolvendo o operador (1,q)-laplaciano e do tipo double-phase |
| Beneficiário: | Marcos Tadeu de Oliveira Pimenta |
| Modalidade de apoio: | Auxílio à Pesquisa - Regular |
| 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 |