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On a critical Neumann problem with a perturbation of lower order

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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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Authors and Affiliations

  1. Department of Mathematics, University of Queensland, St. Lucia, 4072, Qld, Australia

    J. Chabrowski

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  1. J. Chabrowski
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Correspondence to J. Chabrowski.

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Chabrowski, J. On a critical Neumann problem with a perturbation of lower order. Acta Math. Appl. Sin. Engl. Ser. 24, 441–452 (2008). https://doi.org/10.1007/s10255-008-8038-5

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  • DOI: https://doi.org/10.1007/s10255-008-8038-5

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