Geodesic
On the Neumann problem for systems of elliptic equations involving homogeneous nonlinearities of a critical degree
Jan Chabrowski1
1 Department of Mathematics The University of Queensland St. Lucia 4072, Qld, Australia
Colloquium Mathematicum, Tome 125 (2011) no. 1, pp. 115-127

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/cm125-1-8
Keywords: establish existence solutions neumann problem system equations involving homogeneous nonlinearity critical degree existence solution obtained constrained minimization aid l lions concentration compactness principle

Jan Chabrowski 1

1 Department of Mathematics The University of Queensland St. Lucia 4072, Qld, Australia 
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Jan Chabrowski. On the Neumann problem for
 systems of elliptic equations involving homogeneous nonlinearities of a critical degree. Colloquium Mathematicum, Tome 125 (2011) no. 1, pp. 115-127. doi: 10.4064/cm125-1-8

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