TY - JOUR AU - Chabrowski, Jan PY - 2004/06/04 Y2 - 2024/03/29 TI - On the nonlinear Neumann problem involving the critical Sobolev exponent and Hardy potential. JF - Revista Matemática Complutense JA - Rev. mat. complut. VL - 17 IS - 1 SE - Artículos DO - 10.5209/rev_REMA.2004.v17.n1.16800 UR - https://revistas.ucm.es/index.php/REMA/article/view/REMA0404120195A SP - 195 - 227 AB - 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. ER -