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

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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 
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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

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