An elliptic Neumann problem with subcritical nonlinearity

• Autorzy: Chabrowski J. , Tintarev K.

Identyfikatory

DOI

10.4064/ba53-1-2

• Języki publikacji: EN

Abstrakty

EN

We establish the existence of a solution to the Neumann problem in the half-space with a subcritical nonlinearity on the boundary. Solutions are obtained through the constrained minimization or minimax. The existence of solutions depends on the shape of a boundary coefficient.

Słowa kluczowe

EN

trace embedding; concentration-compactness principle; sub-critical exponent

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2005
• Tom: Vol. 53, no 1
• Strony: 7--16
• Opis fizyczny: Bibliogr. 6 poz.

Twórcy

autor

Chabrowski J.

• Department of Mathematics, University of Queensland, St. Lucia, 4072 Qld, Australia

autor

Tintarev K.

• Department of Mathematics, Uppsala University, SE-751 06 Uppsala, Sweden

Bibliografia

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• [6] X. P. Zhu and D. M. Cao, The concentration-compactness principle in nonlinear elliptic equations, Acta Math. Sci. 9 (1989), 307–327.