Indefinite Quasilinear Neumann Problem on Unbounded Domains

• Autorzy: J. Chabrowski
• Języki publikacji: EN

Abstrakty

EN

We investigate the solvability of the quasilinear Neumann problem (1.1) with sub- and supercritical exponents in an unbounded domain Ω. Under some integrability conditions on the coefficients we establish embedding theorems of weighted Sobolev spaces into weighted Lebesgue spaces. This is used to obtain solutions through a global minimization of a variational functional.

Kategorie tematyczne

• 35J20: Variational methods for second-order elliptic equations
• 35J65: Nonlinear boundary value problems for linear elliptic equations
• 35B33: Critical exponents

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2006
• Tom: 54
• Numer: 3
• Strony: 207-217

Daty

wydano

2006

Twórcy

autor

J. Chabrowski

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

Identyfikatory

DOI

10.4064/ba54-3-3