Multiple solutions of Neumann elliptic problems with critical nonlinearity
Monica Musso - Dipartimento di Matematica, Università di Pisa, Via Buonarroti, 2 56127 - PISA, Italy (email)
Abstract: The paper is concerned with a class of Neumann elliptic problems, in bounded domains, involving the critical Sobolev exponent. Some conditions on the lower order term are given, sufficient to guarantee existence and multiplicity of positive solutions without any geometrical assumption on the boundary of the domain.
Keywords: Nonlinear elliptic equations, Neumann boundary conditions, positive
solutions, critical Sobolev exponent.
Revised: October 1997; Published: January 1999.
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