We give an overview on some recent results concerning the study of the Dirichlet problem for second order linear elliptic partial differential equations in divergence form and with discontinuous coefficients, in unbounded domains. The main theorem consists in a Lp-a priori bound, p > 1. Some applications of this bound in the framework of non variational problems, in a weighted and a no-weigthed case, are also given.

A priori bounds in Lp and in W2,p for solutions of elliptic equations

MONSURRO', SARA;TRANSIRICO, Maria
2013

Abstract

We give an overview on some recent results concerning the study of the Dirichlet problem for second order linear elliptic partial differential equations in divergence form and with discontinuous coefficients, in unbounded domains. The main theorem consists in a Lp-a priori bound, p > 1. Some applications of this bound in the framework of non variational problems, in a weighted and a no-weigthed case, are also given.
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11386/3956404
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 1
  • ???jsp.display-item.citation.isi??? 0
social impact