On multiple solutions of the Neumann problem involving the critical Sobolev exponent
Volume 101 / 2004
Colloquium Mathematicum 101 (2004), 203-220
MSC: 35B33, 35J65, 35Q55.
DOI: 10.4064/cm101-2-5
Abstract
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.
