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Infinitely many solutions for a Dirichlet problem involving the p-Laplacian

Published online by Cambridge University Press:  04 August 2010

Gabriele Bonanno  and
Giovanni Molica Bisci
Gabriele Bonanno
Affiliation:
Department of Science for Engineering and Architecture (Mathematics Section), Engineering Faculty, University of Messina, 98166 Messina, Italy ([email protected])
Giovanni Molica Bisci
Affiliation:
PAU Department, Architecture Faculty, University of Reggio Calabria, 89100 Reggio Calabria, Italy ([email protected])
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Abstract

The existence of infinitely many solutions for an autonomous elliptic Dirichlet problem involving the p-Laplacian is investigated. The approach is based on variational methods.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 140 , Issue 4 , August 2010 , pp. 737 - 752
Copyright
Copyright © Royal Society of Edinburgh 2010

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