On positive solutions of indefinite inhomogeneous Neumann boundary value problems
Keywordsp-Laplace-Beltrami operator, fibering scheme, indefinite nonlinearity
AbstractIn 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.
How to Cite
IL’YASOV, Yavdat & RUNST, Thomas. On positive solutions of indefinite inhomogeneous Neumann boundary value problems. Topological Methods in Nonlinear Analysis [online]. 1 September 2004, T. 24, nr 1, s. 41–67. [accessed 1.2.2023].
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