On a singular Neumann problem for semilinear elliptic equations with critical Sobolev exponent and lower order terms |
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Authors: | J. Chabrowski |
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Affiliation: | (1) Department of Mathematics, University of Queensland, St. Lucia, 4072, Qld, Australia |
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Abstract: | We investigate the solvability of the Neumann problem involving the critical Sobolev exponent, the Hardy potential and a nonlinear term of lower order. Lower order terms are allowed to interfere with the spectrum of the operator subject to the Neumann boundary conditions. Solutions are obtained via a min-max procedure based on the variational mountain-pass principle and topological linking. |
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Keywords: | 35B33 35J65 35Q55 |
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