Multiplicity Results for the -Laplacian Equation with Singular Nonlinearities and Nonlinear Neumann Boundary Condition

K. Saoudi, M. Kratou and S. Alsadhan

International Journal of Differential Equations, 2016, vol. 2016, 1-14

Abstract:

We investigate the singular Neumann problem involving the -Laplace operator:    , in   , where is a bounded domain with boundary, is a positive parameter, and , and are assumed to satisfy assumptions (H0) – (H5) in the Introduction. Using some variational techniques, we show the existence of a number such that problem has two solutions for one solution for , and no solutions for .

Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijde:3149482

DOI: 10.1155/2016/3149482

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