On the Neumann problem for systems of elliptic equations involving homogeneous nonlinearities of a critical degree
Jan Chabrowski
Colloquium Mathematicae, Tome 122 (2011), p. 115-127 / Harvested from The Polish Digital Mathematics Library
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We establish the existence of solutions for the Neumann problem for a system of two equations involving a homogeneous nonlinearity of a critical degree. The existence of a solution is obtained by a constrained minimization with the aid of P.-L. Lions' concentration-compactness principle.

Publié le : 2011-01-01
EUDML-ID : urn:eudml:doc:283959 
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     author = {Jan Chabrowski},
     title = {On the Neumann problem for systems of elliptic equations involving homogeneous nonlinearities of a critical degree},
     journal = {Colloquium Mathematicae},
     volume = {122},
     year = {2011},
     pages = {115-127},
     zbl = {1252.35143},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm125-1-8}
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Jan Chabrowski. On the Neumann problem for systems of elliptic equations involving homogeneous nonlinearities of a critical degree. Colloquium Mathematicae, Tome 122 (2011) pp. 115-127. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm125-1-8/