On the Neumann problem with the Hardy-Sobolev potential

作者：Chabrowski J^*

来源：Annali di Matematica Pura ed Applicata, 2007, 186(4): 703-719.

DOI：10.1007/s10231-006-0027-9

• Hardy-Sobolev exponent
• indefinite weight functions
• concentration
• compactness principle
• Neumann problem
• regularity of solutions

In this paper we investigate the solvability of the nonlinear Neumann problem (1.1) with indefinite weight functions and a critical Hardy-Sobolev nonlinearity. We examine the common effect of the shape of the graph of a weight function and the mean curvature of the boundary on the existence of solutions of problem (1.1). We also investigate the regularity of solutions.

• 出版日期2007-10