On multiple solutions of the Neumann problem involving the critical Sobolev exponent
Jan Chabrowski
Colloquium Mathematicae, Tome 100 (2004), p. 203-220 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2004-01-01
EUDML-ID : urn:eudml:doc:283928 
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     title = {On multiple solutions of the Neumann problem involving the critical Sobolev exponent},
     journal = {Colloquium Mathematicae},
     volume = {100},
     year = {2004},
     pages = {203-220},
     zbl = {1124.35023},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm101-2-5}
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Jan Chabrowski. On multiple solutions of the Neumann problem involving the critical Sobolev exponent. Colloquium Mathematicae, Tome 100 (2004) pp. 203-220. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm101-2-5/