A priori estimates for elliptic equations with reaction terms involving the function and its gradient

We study local and global properties of positive solutions of -Delta u = u(p) + M vertical bar del u|(q) in a domain Omega of R-N, in the range min{p, q} > 1 and M is an element of R. We prove a priori estimates and existence or non-existence of ground states for the same equation.

Detalles Bibliográficos
Autores principales: Bidaut-Veron, Marie-Francoise, Garcia-Huidobro, Marta, Veron, Laurent
Formato: Artículo (Article)
Idioma:Inglés (English)
Publicado: 2025
Materias:
Acceso en línea:https://repositorio.uc.cl/handle/11534/100442