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BOUNDED MULTIPLE SOLUTIONS FOR $p$-LAPLACIAN PROBLEMS WITH ARBITRARY PERTURBATIONS

Part of: Elliptic equations and systems

Published online by Cambridge University Press:  26 February 2015

FRANCESCA FARACI  and
LIN ZHAO
FRANCESCA FARACI*
Affiliation:
Department of Mathematics and Computer Sciences, University of Catania, Italy email ffaraci@dmi.unict.it
LIN ZHAO
Affiliation:
School of Sciences, China University of Mining and Technology, Xuzhou 221116, China School of Mathematics and Statistics, Lanzhou University, China email zhjz9332003@gmail.com
*
✉ffaraci@dmi.unict.it
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Abstract

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In the present paper we deal with the existence of multiple solutions for a quasilinear elliptic problem involving an arbitrary perturbation. Our approach, based on an abstract result of Ricceri, combines truncation arguments with Moser-type iteration technique.

Keywords

variational methodsbounded multiple solutionsquasilinear elliptic equationsMoser iteration techniquearbitrary perturbations

MSC classification

Primary: 35J20: Variational methods for second-order elliptic equations
Secondary: 35J62: Quasilinear elliptic equations 35J92: Quasilinear elliptic equations with $p$-Laplacian
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 99 , Issue 2 , October 2015 , pp. 175 - 185
Copyright
© 2015 Australian Mathematical Publishing Association Inc. 

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