On positive solutions of indefinite inhomogeneous Neumann boundary value problems

Yavdat Il'yasov, Thomas Runst

DOI: http://dx.doi.org/10.12775/TMNA.2004.019

Abstract


In this paper, we study a
class of inhomogeneous Neumann boundary value problems on
a compact Riemannian manifold with boundary where
indefinite and critical nonlinearities are included.
Applying the fibering approach we introduce a new and, in
some sense, more general variational approach to these
problems. Using this idea we prove new results on the
existence and multiplicity of positive solutions.

Keywords


p-Laplace-Beltrami operator; fibering scheme; indefinite nonlinearity

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