Geodesic
Indefinite Quasilinear Neumann Problem on Unbounded Domains
J. Chabrowski1
1 Department of Mathematics University of Queensland St. Lucia 4072, Qld, Australia
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 54 (2006) no. 3, pp. 207-217

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/ba54-3-3
Keywords: investigate solvability quasilinear neumann problem sub supercritical exponents unbounded domain mit omega under integrability conditions coefficients establish embedding theorems weighted sobolev spaces weighted lebesgue spaces obtain solutions through global minimization variational functional

J. Chabrowski 1

1 Department of Mathematics University of Queensland St. Lucia 4072, Qld, Australia 
@article{10_4064_ba54_3_3,
     author = {J. Chabrowski},
     title = {Indefinite {Quasilinear} {Neumann} {Problem
on} {Unbounded} {Domains}},
     journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
     pages = {207--217},
     publisher = {mathdoc},
     volume = {54},
     number = {3},
     year = {2006},
     doi = {10.4064/ba54-3-3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ba54-3-3/}
}
TY  - JOUR
AU  - J. Chabrowski
TI  - Indefinite Quasilinear Neumann Problem
on Unbounded Domains
JO  - Bulletin of the Polish Academy of Sciences. Mathematics
PY  - 2006
SP  - 207
EP  - 217
VL  - 54
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ba54-3-3/
DO  - 10.4064/ba54-3-3
LA  - en
ID  - 10_4064_ba54_3_3
ER  - 
%0 Journal Article
%A J. Chabrowski
%T Indefinite Quasilinear Neumann Problem
on Unbounded Domains
%J Bulletin of the Polish Academy of Sciences. Mathematics
%D 2006
%P 207-217
%V 54
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/ba54-3-3/
%R 10.4064/ba54-3-3
%G en
%F 10_4064_ba54_3_3
J. Chabrowski. Indefinite Quasilinear Neumann Problem
on Unbounded Domains. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 54 (2006) no. 3, pp. 207-217. doi: 10.4064/ba54-3-3

Cité par Sources :