Portugaliæ Mathematica   EMIS ELibM Electronic Journals PORTUGALIAE
MATHEMATICA
Vol. 51, No. 4, pp. 517-523 (1994)

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A Note on the Existence of Two Nontrivial Solutions of a Resonance Problem

To Fu Ma

CMAF, Av. Prof. Gama Pinto, 2,
1699 Lisboa Codex - PORTUGAL
and
DMA, Univ. Estadual de Maringá,
87020 Maringá-PR - BRASIL

Abstract: We study the existence of two nontrivial solutions for an elliptic boundary value problem at resonance. In the variational setting, the associated action functional of the problem is bounded from below but not coercive.

Keywords: Elliptic equation; resonance; multiplicity; minimax principle.

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Electronic version published on: 29 Mar 2001. This page was last modified: 27 Nov 2007.

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