Geodesic
On multiple solutions of the Neumann problem involving the critical Sobolev exponent
Jan Chabrowski1
1Department of Mathematics University of Queensland St. Lucia 4072, Qld, Australia
Colloquium Mathematicum, Tome 101 (2004) no. 2, pp. 203-220

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

We consider the Neumann problem involving the critical Sobolev exponent and a nonhomogeneous boundary condition. We establish the existence of two solutions. We use the method of sub- and supersolutions, a local minimization and the mountain-pass principle.
DOI : 10.4064/cm101-2-5
Keywords: consider neumann problem involving critical sobolev exponent nonhomogeneous boundary condition establish existence solutions method sub supersolutions local minimization mountain pass principle

Jan Chabrowski  1

1 Department of Mathematics University of Queensland St. Lucia 4072, Qld, Australia 
Jan Chabrowski. On multiple solutions of the Neumann problem
 involving the critical Sobolev exponent. Colloquium Mathematicum, Tome 101 (2004) no. 2, pp. 203-220. doi: 10.4064/cm101-2-5
@article{10_4064_cm101_2_5,
     author = {Jan Chabrowski},
     title = {On multiple solutions of the {Neumann} problem
 involving the critical {Sobolev} exponent},
     journal = {Colloquium Mathematicum},
     pages = {203--220},
     year = {2004},
     volume = {101},
     number = {2},
     doi = {10.4064/cm101-2-5},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/cm101-2-5/}
}
TY  - JOUR
AU  - Jan Chabrowski
TI  - On multiple solutions of the Neumann problem
 involving the critical Sobolev exponent
JO  - Colloquium Mathematicum
PY  - 2004
SP  - 203
EP  - 220
VL  - 101
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4064/cm101-2-5/
DO  - 10.4064/cm101-2-5
LA  - en
ID  - 10_4064_cm101_2_5
ER  - 
%0 Journal Article
%A Jan Chabrowski
%T On multiple solutions of the Neumann problem
 involving the critical Sobolev exponent
%J Colloquium Mathematicum
%D 2004
%P 203-220
%V 101
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4064/cm101-2-5/
%R 10.4064/cm101-2-5
%G en
%F 10_4064_cm101_2_5

Cité par Sources :