On the Neumann problem for an elliptic system of equations involving the critical Sobolev exponent
J. Chabrowski ; Jianfu Yang
Colloquium Mathematicae, Tome 89 (2001), p. 19-35 / Harvested from The Polish Digital Mathematics Library
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We consider the Neumann problem for an elliptic system of two equations involving the critical Sobolev nonlinearity. Our main objective is to study the effect of the coefficient of the critical Sobolev nonlinearity on the existence and nonexistence of least energy solutions. As a by-product we obtain a new weighted Sobolev inequality.

Publié le : 2001-01-01
EUDML-ID : urn:eudml:doc:284030 
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     author = {J. Chabrowski and Jianfu Yang},
     title = {On the Neumann problem for an elliptic system of equations involving the critical Sobolev exponent},
     journal = {Colloquium Mathematicae},
     volume = {89},
     year = {2001},
     pages = {19-35},
     zbl = {0987.35053},
     language = {en},
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J. Chabrowski; Jianfu Yang. On the Neumann problem for an elliptic system of equations involving the critical Sobolev exponent. Colloquium Mathematicae, Tome 89 (2001) pp. 19-35. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm90-1-2/