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On a critical Neumann problem with a perturbation of lower order
Authors:J Chabrowski
Institution:Department of Mathematics, University of Queensland, St. Lucia 4072, Qld, Australia
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.
Keywords:Neumann problem  critical Sobolev exponent  mountain-pass solutions  multiple solutions
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