On positive solutions of indefinite inhomogeneous Neumann boundary value problems
Keywords
p-Laplace-Beltrami operator, fibering scheme, indefinite nonlinearityAbstract
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.Downloads
Published
2004-09-01
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1.
IL’YASOV, Yavdat and RUNST, Thomas. On positive solutions of indefinite inhomogeneous Neumann boundary value problems. Topological Methods in Nonlinear Analysis. Online. 1 September 2004. Vol. 24, no. 1, pp. 41 - 67. [Accessed 26 April 2024].
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