On the Neumann problem for an elliptic system of equations involving the critical Sobolev exponent

• Autorzy: J. Chabrowski , Jianfu Yang
• Języki publikacji: EN

Abstrakty

EN

We consider the Neumann problem for an elliptic system of two equations involving the critical Sobolev nonlinearity. Our main objective is to study the effect of the coefficient of the critical Sobolev nonlinearity on the existence and nonexistence of least energy solutions. As a by-product we obtain a new weighted Sobolev inequality.

Kategorie tematyczne

• 35J50: Variational methods for elliptic systems
• 35B33: Critical exponents

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2001
• Tom: 90
• Numer: 1
• Strony: 19-35

Daty

wydano

2001

Twórcy

autor

J. Chabrowski

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

autor

Jianfu Yang

• IMECC-UNICAMP, 13083-970 Campinas, S.P. Brazil

Identyfikatory

DOI

10.4064/cm90-1-2