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MULTIPLE SOLUTIONS FOR RESONANT ELLIPTIC SYSTEMS VIA REDUCTION METHOD

Part of: Elliptic equations and systems Variational problems in infinite-dimensional spaces

Published online by Cambridge University Press:  22 April 2010

MARCELO F. FURTADO  and
FRANCISCO O. V. DE PAIVA
MARCELO F. FURTADO*
Affiliation:
Departamento de Matemática, Universidade de Brasília, 70910-900, Brasília - DF, Brazil (email: mfurtado@unb.br)
FRANCISCO O. V. DE PAIVA
Affiliation:
IMECC-UNICAMP, Caixa Postal 6065, 13081-970, Campinas-SP, Brazil (email: odair@ime.unicamp.br)
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Abstract

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We establish the existence of two nontrivial solution for some elliptic systems. In the proofs we apply variational methods and Morse theory.

Keywords

resonant elliptic systemsvariational methodsMorse theory

MSC classification

Secondary: 35J20: Variational methods for second-order elliptic equations 58E05: Abstract critical point theory (Morse theory, Ljusternik-Schnirelman (Lyusternik-Shnirel'man) theory, etc.)

Information

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 82 , Issue 2 , October 2010 , pp. 211 - 220
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2010

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