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Multiple solutions for a class of (p, q)-gradient elliptic systems via a fibering method

Published online by Cambridge University Press:  20 March 2014

Jean Vélin
Jean Vélin*
Affiliation:
Département de Mathématiques et Informatique, Laboratoire CEREGMIA, Université des Antilles et de La Guyane, Campus de Fouillole, 97159 Pointe-à-Pitre, Guadeloupe, French West Indies, ([email protected])
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Abstract

This paper is devoted to the study of a typical (p, q)-gradient elliptic system. We discuss the existence of multiple non-trivial solutions. More precisely, we establish the existence of three non-trivial solutions, obtained by applying the fibering method introduced by Pohozaev.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 144 , Issue 2 , April 2014 , pp. 363 - 393
Copyright
Copyright © Royal Society of Edinburgh 2014 

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