On the nonlinear Neumann problem involving the critical Sobolev exponent on the boundary
Chabrowski, J (2004) On the nonlinear Neumann problem involving the critical Sobolev exponent on the boundary. Journal of Mathematical Analysis And Applications, 2902: 605-619. doi:10.1016/j.jmaa.2003.10.036
in this paper we investigate the solvability of the Neumann problem (1.1) involving the critical Sobolev exponents on the right-hand side of the equation and in the boundary condition. It is assumed that the coefficients Q and P are smooth. We examine the common effect of the mean curvature of the boundary a deltaOhm and the shape of the graph of the coefficients Q and P on the existence of solutions of problem (1.1). (C) 2003 Published by Elsevier Inc.