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2000 Mathematics Subject Classification: 35J40, 49J52, 49J40, 46E30
By means of a suitable nonsmooth critical point theory for lower semicontinuous functionals we prove the existence of infinitely many
solutions for a class of quasilinear Dirichlet problems with symmetric non-linearities having a one-sided growth condition of exponential type.
The research of the authors was partially supported by the MIUR project “Variational and
topological methods in the study of nonlinear...
In this paper we study the influence of the domain topology on the multiplicity of solutions to a semilinear Neumann problem. In particular, we show that the number of positive solutions is stable under small perturbations of the domain.
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