INVESTIGADORES
TOSCHI Marisa
artículos
Título:
Weighted a priori estimates with powers of the distance function for elliptic equations.
Autor/es:
TOSCHI, MARISA
Revista:
GEORGIAN MATHEMATICAL JOURNAL
Editorial:
HELDERMANN VERLAG
Referencias:
Año: 2015 vol. 22 p. 427 - 433
ISSN:
1072-947X
Resumen:
Abstract. Let u be a weak solution of (−∆) m u = f with Dirichlet boundary conditions in a smooth bounded domain Ω ⊂ R n . In this paper we obtain some estimates for the Green function associate to this problem. Moreover, under appropiate conditions on p, we prove some weighted Sobolev a priori estimates for the solution u, where the weight is a power of the distance function. This result extends a previous one joint R. Durán and M. Sanmartino (Indiana Univ. Math. J, 57(7):3463-3478, 2008 and Anal. Theory Appl. 26(4):339-349, 2010).