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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
Affiliation:
Department of Science for Engineering and Architecture (Mathematics Section), Engineering Faculty, University of Messina, 98166 Messina, Italy (bonanno@unime.it)
Giovanni Molica Bisci
Affiliation:
PAU Department, Architecture Faculty, University of Reggio Calabria, 89100 Reggio Calabria, Italy (gmolica@unirc.it)
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Abstract

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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
Copyright
Copyright © Royal Society of Edinburgh 2010