Indefinite Quasilinear Neumann Problem on Unbounded Domains

J. Chabrowski. "Indefinite Quasilinear Neumann Problem on Unbounded Domains." Bulletin of the Polish Academy of Sciences. Mathematics 54.3 (2006): 207-217. <http://eudml.org/doc/280180>.

@article{J2006,
abstract = {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.},
author = {J. Chabrowski},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {Neumann problem; sub- and supercritical exponents; indefinite weight functions},
language = {eng},
number = {3},
pages = {207-217},
title = {Indefinite Quasilinear Neumann Problem on Unbounded Domains},
url = {http://eudml.org/doc/280180},
volume = {54},
year = {2006},
}

TY - JOUR
AU - J. Chabrowski
TI - Indefinite Quasilinear Neumann Problem on Unbounded Domains
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2006
VL - 54
IS - 3
SP - 207
EP - 217
AB - 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.
LA - eng
KW - Neumann problem; sub- and supercritical exponents; indefinite weight functions
UR - http://eudml.org/doc/280180
ER -