Abstract
We present existence results for a Neumann problem involving critical Sobolev nonlinearities both on the right hand side of the equation and at the boundary condition. Positive solutions are obtained through constrained minimization on the Nehari manifold. Our approach is based on the concentration compactness principle of P. L. Lions and M. Struwe.
Citation
Jan Chabrowski. Stathis Filippas. Achilles Tertikas. "Positive solutions of a Neumann problem with competing critical nonlinearities." Topol. Methods Nonlinear Anal. 28 (1) 1 - 31, 2006.
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