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Infinitely many solutions for some nonlinear elliptic problems in symmetrical domains*

Published online by Cambridge University Press:  14 November 2011

Donato Fortunato  and
Enrico Jannelli
Donato Fortunato
Affiliation:
Dipartimento di Matematica, Università, Campus Universitario, Via G. Fortunato, 70125 Bari, Italy
Enrico Jannelli
Affiliation:
Dipartimento di Matematica, Università, Campus Universitario, Via G. Fortunato, 70125 Bari, Italy
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Synopsis

We consider the boundary value problem

where Ω ⊂ ℝn is a bounded domain, n≧3, 2* = 2n/(n − 2) is the critical exponent for the Sobolev embedding and λ is a real positive parameter. We prove the existence of infinitely many solutions of (*) when Ω exhibits suitable symmetries.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 105 , Issue 1 , 1987 , pp. 205 - 213
Copyright
Copyright © Royal Society of Edinburgh 1987

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