On a critical Neumann problem with a perturbation of lower order |
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Authors: | J. Chabrowski |
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Affiliation: | Department of Mathematics, University of Queensland, St. Lucia 4072, Qld, Australia |
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Abstract: | We investigate the solvability of the Neumann problem (1.1) involving the critical Sobolev nonlinearity and a term of lower order. We allow a coefficient of u in equation (1.1) to be unbounded. We prove the existence of a solution in a weighted Sobolev space. |
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Keywords: | Neumann problem critical Sobolev exponent mountain-pass solutions multiple solutions |
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