An Elliptic Neumann Problem with Subcritical Nonlinearity

• Autorzy: Jan Chabrowski , Kyril Tintarev
• 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.

Kategorie tematyczne

• 35J65: Nonlinear boundary value problems for linear elliptic equations
• 35Q55: NLS-like equations (nonlinear Schr\"odinger)
• 35B38: Critical points
• 35J35: Variational methods for higher-order elliptic equations
• 35J60: Nonlinear elliptic equations
• 35B33: Critical exponents

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2005
• Tom: 53
• Numer: 1
• Strony: 7-16

Daty

wydano

2005

Twórcy

autor

Jan Chabrowski

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

autor

Kyril Tintarev

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

Identyfikatory

DOI

10.4064/ba53-1-2