April  1999, 5(2): 301-320. doi: 10.3934/dcds.1999.5.301

Multiple solutions of Neumann elliptic problems with critical nonlinearity

1. 

Dipartimento di Matematica, Università di Pisa, Via Buonarroti, 2 56127 - PISA, Italy, Italy

Revised  October 1997 Published  January 1999

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.
Citation: Monica Musso, Donato Passaseo. Multiple solutions of Neumann elliptic problems with critical nonlinearity. Discrete and Continuous Dynamical Systems, 1999, 5 (2) : 301-320. doi: 10.3934/dcds.1999.5.301
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