On multiple solutions of the Neumann problem involving the critical Sobolev exponent

• Autorzy: Jan Chabrowski
• Języki publikacji: EN

Abstrakty

EN

We consider the Neumann problem involving the critical Sobolev exponent and a nonhomogeneous boundary condition. We establish the existence of two solutions. We use the method of sub- and supersolutions, a local minimization and the mountain-pass principle.

Kategorie tematyczne

• 35J65: Nonlinear boundary value problems for linear elliptic equations
• 35Q55: NLS-like equations (nonlinear Schr\"odinger)
• 35B33: Critical exponents

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2004
• Tom: 101
• Numer: 2
• Strony: 203-220

Daty

wydano

2004

Twórcy

autor

Jan Chabrowski

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

Identyfikatory

DOI

10.4064/cm101-2-5