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MULTIPLICITY RESULTS FOR A PERTURBED NONLINEAR SCHRÖDINGER EQUATION

Published online by Cambridge University Press:  01 September 2007

F. CAMMAROTO,
A. CHINNÌ and
B. DI BELLA
F. CAMMAROTO*
Affiliation:
Department of Mathematics, University of Messina, 98166 Sant'Agata-Messina, Italy e-mail: filippo@dipmat.unime.it
A. CHINNÌ
Affiliation:
Department of Mathematics, University of Messina, 98166 Sant'Agata-Messina, Italy e-mail: filippo@dipmat.unime.it
B. DI BELLA
Affiliation:
Department of Mathematics, University of Messina, 98166 Sant'Agata-Messina, Italy e-mail: filippo@dipmat.unime.it
*
*Corresponding author. Because of a surprising coincidence of names within the same Department, we have to point out that the author was born on August 4, 1968.
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Abstract

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In this paper, using a recent critical point theorem of Ricceri, we establish two multiplicity results for the Schrödinger equation of the form$G-\Delta u + a(x)u=\lambda f(x,u)+\mu g(x,u), x \in \R^n, \; u \in W^{1,2}(\R^n),$where $Gf, \,g:\R^n \times \R \to \R$ (n\ge 3)$ are Carathéodory functions, λ and μ two positive parameters.

Keywords

35Q55.

Information

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 49 , Issue 3 , September 2007, pp. 423 - 429
Copyright
Copyright © Glasgow Mathematical Journal Trust 2007

References

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