On the critical Neumann problem with lower order perturbations

• Autorzy: Jan Chabrowski , Bernhard Ruf
• Języki publikacji: EN

Abstrakty

EN

We investigate the solvability of the Neumann problem (1.1) involving a critical Sobolev exponent and lower order perturbations in bounded domains. Solutions are obtained by min max methods based on a topological linking. A nonlinear perturbation of a lower order is allowed to interfere with the spectrum of the operator -Δ with the Neumann boundary conditions.

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: 2007
• Tom: 108
• Numer: 2
• Strony: 225-246

Daty

wydano

2007

Twórcy

autor

Jan Chabrowski

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

autor

Bernhard Ruf

• Dipartimento di Matematica "F. Enriques", Universitàdegli Studi di Milano, Via Saldini 50, 20133 Milano, Italy

Identyfikatory

DOI

10.4064/cm108-2-6