An elliptic semilinear equation with source term involving boundary measures: the subcritical case

Autores: Laurent Vivier, Marie-Francoise Bidaut-Véron
Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 16, Nº 3, 2000, págs. 477-513
Idioma: inglés
DOI: 10.4171/rmi/281
Títulos paralelos:
- Ecuación elíptica semilineal con término fuente que implica medidas en el límite: el caso subcrítico
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Resumen
- We study the boundary behaviour of the nonnegative solutions of the semilinear elliptic equation in a bounded regular domain O of RN (N = 2), ì ?u + uq = 0, in O í î u = µ, on ?O where 1 < q < (N + 1)/(N - 1) and µ is a Radon measure on ?O. We give a priori estimates and existence results. The lie on the study of superharmonic functions in some weighted Marcinkiewicz spaces.