4.6 Article

Multiplicity of solutions for a class of elliptic systems with critical Sobolev exponent

Journal

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
Volume 73, Issue 9, Pages 2767-2778

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.na.2010.05.047

Keywords

p-q-Laplacian; Limit index; Multiple solutions; Critical Sobolev exponent

Funding

  1. National Natural Science Foundation of China [10871096]
  2. NSFC [10871096]
  3. Institute of Mathematical Sciences, The Chinese University of Hong Kong

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In this paper we consider systems of p-q-Laplacian elliptic equations with critical Sobolev exponent. The existence and multiplicity results of solutions are obtained by a limit index method. Crown Copyright (C) 2010 Published by Elsevier Ltd. All rights reserved.

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