Indefinite Quasilinear Neumann Problem on Unbounded Domains
Volume 54 / 2006
Bulletin Polish Acad. Sci. Math. 54 (2006), 207-217
MSC: 35B33, 35J20, 35J65.
DOI: 10.4064/ba54-3-3
Abstract
We investigate the solvability of the quasilinear Neumann problem (1.1) with sub- and supercritical exponents in an unbounded domain $\mit\Omega$. 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.
