Positive solutions of a Neumann problem with competing critical nonlinearities
Keywords
Neumann problem, Sobolev critical exponents, constrained minimization, concentration phenomena, Nehari manifold, least energy solutionsAbstract
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.Downloads
Published
2006-09-01
How to Cite
1.
CHABROWSKI, Jan, FILIPPAS, Stathis and TERTIKAS, Achilles. Positive solutions of a Neumann problem with competing critical nonlinearities. Topological Methods in Nonlinear Analysis. Online. 1 September 2006. Vol. 28, no. 1, pp. 1 - 31. [Accessed 25 April 2024].
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