On the nonlinear Neumann problem involving the critical Sobolev exponent and Hardy potential.
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https://doi.org/10.5209/rev_REMA.2004.v17.n1.16800
Mots-clés :
Neumann problem, critical Sobolev exponent, singular Hardy potential, least energy solutions, topological linking
Résumé
In this paper we investigate the solvability of the Neumann problems (1), (12), (16), (32) and (43) involving the critical Sobolev and Hardy exponents. It is assumed that the coefficient Q is a positive and smooth function on ¯, µ and _ are real parameters. We examine the common effect of the mean curvature of the boundary @, the shape of the graph of the coefficient Q and the singular Hardy potential on the existence and the nonexistence of solutions of these problems.##submission.format##
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Publié
2004-06-04
Comment citer
Chabrowski, J. (2004). On the nonlinear Neumann problem involving the critical Sobolev exponent and Hardy potential. Revista Matemática Complutense, 17(1), 195-227. https://doi.org/10.5209/rev_REMA.2004.v17.n1.16800
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