A Priori Bounds for a Class of Elliptic Operators-Reference-Cited by-同舟云学术

A Priori Bounds for a Class of Elliptic Operators

Published:2011 Issue: Volume:2011 Page:1-17
ISSN:1687-9643
Container-title:International Journal of Differential Equations
language:en
Short-container-title:International Journal of Differential Equations

Author:

Monsurrò Sara¹^ORCID,Salvato Maria¹,Transirico Maria¹

Affiliation:

1. Dipartimento di Matematica, Università di Salerno, Via Ponte Don Melillo, 84084 Fisciano, Italy

Abstract

We obtain some a priori bounds for a class of uniformly elliptic second-order differential operators, both in a no-weighted and in a weighted case. We deduce a uniqueness and existence theorem for the related Dirichlet problem in some weighted Sobolev spaces on unbounded domains.

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/ijde/2011/572824.pdf

Reference21 articles.

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