Geodesic
An Elliptic Neumann Problem with Subcritical Nonlinearity
Jan Chabrowski1 ; Kyril Tintarev2
1 Department of Mathematics University of Queensland St. Lucia, 4072 Qld, Australia
2 Department of Mathematics Uppsala University SE-751 06 Uppsala, Sweden
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 53 (2005) no. 1, pp. 7-16 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/ba53-1-2
Keywords: establish existence solution neumann problem half space subcritical nonlinearity boundary solutions obtained through constrained minimization minimax existence solutions depends shape boundary coefficient

Jan Chabrowski 1 ; Kyril Tintarev 2

1 Department of Mathematics University of Queensland St. Lucia, 4072 Qld, Australia
2 Department of Mathematics Uppsala University SE-751 06 Uppsala, Sweden 
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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) no. 1, pp. 7-16. doi: 10.4064/ba53-1-2

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