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THREE SOLUTIONS FOR A PERTURBED SUBLINEAR ELLIPTIC PROBLEM IN $\mathbb{R}^N$

Published online by Cambridge University Press:  31 January 2005

GIOVANNI ANELLO  and
GIUSEPPE CORDARO
GIOVANNI ANELLO
Affiliation:
Department of Mathematics, University of Messina, 98166 Sant'Agata-Messina, Italy e-mail: anello@dipmat.unime.it; cordaro@dipmat.unime.it
GIUSEPPE CORDARO
Affiliation:
Department of Mathematics, University of Messina, 98166 Sant'Agata-Messina, Italy e-mail: anello@dipmat.unime.it; cordaro@dipmat.unime.it
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Abstract

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In this paper we study a perturbed sublinear elliptic problem in $\mathbb{R}^N$. In particular, using variational methods, we establish a result that ensures the existence of at least three weak solutions.

Keywords

35J20
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 47 , Issue 1 , January 2005 , pp. 205 - 212
Copyright
2005 Glasgow Mathematical Journal Trust