On positive solutions of indefinite inhomogeneous Neumann boundary value problems
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p-Laplace-Beltrami operator, fibering scheme, indefinite nonlinearityAbstrakt
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.Pobrania
Opublikowane
2004-09-01
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1.
IL’YASOV, Yavdat & RUNST, Thomas. On positive solutions of indefinite inhomogeneous Neumann boundary value problems. Topological Methods in Nonlinear Analysis [online]. 1 wrzesień 2004, T. 24, nr 1, s. 41–67. [udostępniono 3.7.2024].
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