An Elliptic Neumann Problem with Subcritical Nonlinearity
Jan Chabrowski ; Kyril Tintarev
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 53 (2005), p. 7-16 / Harvested from The Polish Digital Mathematics Library
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We establish the existence of a solution to the Neumann problem in the half-space with a subcritical nonlinearity on the boundary. Solutions are obtained through the constrained minimization or minimax. The existence of solutions depends on the shape of a boundary coefficient.

Publié le : 2005-01-01
EUDML-ID : urn:eudml:doc:280519 
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Jan Chabrowski; Kyril Tintarev. An Elliptic Neumann Problem with Subcritical Nonlinearity. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 53 (2005) pp. 7-16. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba53-1-2/