| Texto completo | |
| Autor(es): |
Fiscella, Alessio
Número total de Autores: 1
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| Tipo de documento: | Artigo Científico |
| Fonte: | APPLIED MATHEMATICS AND OPTIMIZATION; v. 85, n. 3, p. 16-pg., 2022-05-10. |
| Resumo | |
In this paper, we deal with the following double phase problem {- div (vertical bar del u vertical bar(p-2) del u + a (x) vertical bar del u vertical bar(q-2) del u) = gamma + f (x, u) (vertical bar u vertical bar(p-2)u/vertical bar x vertical bar(p) + a(x) vertical bar u vertical bar(q-2) u/vertical bar x vertical bar(q)) in Omega, u = 0 in partial derivative partial derivative Omega, where Omega subset of R-N is an open, bounded set with Lipschitz boundary, 0 is an element of Omega, N >= 2, 1 < p < q < N, weight a(.) >= 0, gamma is areal parameter and f is a subcritical function. By variational method, we provide the existence of a non-trivial weak solution on the Musielak-Orlicz-Sobolev space W-0(1,H) (Omega), with modular functionH(t, x) = t(p) + a(x)t(q). For this, we first introduce the Hardy inequalities for space W-0(1,H) (Omega), under suitable assumptions on a(.). (AU) | |
| Processo FAPESP: | 19/23917-3 - Operadores com crescimento não standard |
| Beneficiário: | Alessio Fiscella |
| Modalidade de apoio: | Auxílio à Pesquisa - Regular |
| Processo FAPESP: | 19/02512-5 - Sistemas e equações diferenciais parciais |
| Beneficiário: | Marcelo da Silva Montenegro |
| Modalidade de apoio: | Auxílio à Pesquisa - Temático |