On the Neumann problem for systems of elliptic equations involving homogeneous nonlinearities of a critical degree

• Autorzy: Jan Chabrowski
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 35J50: Variational methods for elliptic systems
• 35J47: Second-order elliptic systems
• 35B09: Positive solutions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2011
• Tom: 125
• Numer: 1
• Strony: 115-127

Daty

wydano

2011

Twórcy

autor

Jan Chabrowski

• Department of Mathematics, The University of Queensland, St. Lucia 4072, Qld, Australia

Identyfikatory

DOI

10.4064/cm125-1-8