Sublinear Elliptic Equations With Singular Potentials-Reference-Cited by-同舟云学术

Sublinear Elliptic Equations With Singular Potentials

Published:2012-05-01 Issue:2 Volume:12 Page:187-198
ISSN:2169-0375
Container-title:Advanced Nonlinear Studies
language:en
Short-container-title:

Author:

Boccardo Lucio¹,Orsina Luigi¹

Affiliation:

1. Dipartimento di Matematica Università di Roma “La Sapienza”, P.le A. Moro 5, 00185 Roma, Italy

Abstract

Abstract In this paper we prove existence and summability results for solutions of equations whose model is

with a > 0 and f in some Marcinkiewicz space, thus extending the results of [4]. We the use these results to prove similar theorems for equations whose model is

with 0 < θ < 1 and p in some Marcinkiewicz space, thus extending the results of [3].

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics,Statistical and Nonlinear Physics

Link

https://www.degruyter.com/document/doi/10.1515/ans-2012-0201/pdf

Reference4 articles.

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2. Marcinkiewicz estimates for solutions of some elliptic problems with nonregular data Mat;Boccardo;Appl,2009

3. Hardy inequalities and some critical elliptic and parabolic problems;Garcia Azorero;Differential Equations,1998

4. A remark on existence and optimal summability of solutions of elliptic problems involving Hardy potential Discrete Contin;Boccardo;Syst,2006

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