| Texto completo | |
| Autor(es): |
Assuncao, R. B.
;
Miyagaki, O. H.
;
Siqueira, R. F. S.
Número total de Autores: 3
|
| Tipo de documento: | Artigo Científico |
| Fonte: | Complex Variables and Elliptic Equations; v. N/A, p. 30-pg., 2025-08-01. |
| Resumo | |
In the present work, we consider a fractional p-Kirchhoff equation in the entire space $ \mathbb {R}<^>{N} $ RN featuring doubly nonlinearities, involving a generalized nonlocal Choquard subcritical term together with a local critical Sobolev term; the problem also includes a Hardy-type term; additionally, all terms have critical singular weights. Our results improve upon previous work in the following ways: we focus our attention on the existence of a nontrivial weak solution for fractional p-Kirchhoff equation in the entire space $ \mathbb {R}<^>{N} $ RN. The possibility of a slower growth in the nonlinearity makes it more difficult to establish a compactness condition; to do so, we use the Cerami condition. The crucial points in our argument are the uniform boundedness of the convolution part and the lack of compactness of the Sobolev embeddings. (AU) | |
| Processo FAPESP: | 22/16407-1 - TESEd: Temático em Equações e Sistemas de Equações diferenciais |
| Beneficiário: | Ederson Moreira dos Santos |
| Modalidade de apoio: | Auxílio à Pesquisa - Temático |