Positive solutions of a Neumann problem with competing critical nonlinearities
Słowa kluczowe
Neumann problem, Sobolev critical exponents, constrained minimization, concentration phenomena, Nehari manifold, least energy solutionsAbstrakt
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.Pobrania
Opublikowane
2006-09-01
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1.
CHABROWSKI, Jan, FILIPPAS, Stathis & TERTIKAS, Achilles. Positive solutions of a Neumann problem with competing critical nonlinearities. Topological Methods in Nonlinear Analysis [online]. 1 wrzesień 2006, T. 28, nr 1, s. 1–31. [udostępniono 3.7.2024].
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