Geodesic
On the Neumann problem for an elliptic system of equations involving the critical Sobolev exponent
J. Chabrowski 1   ; Jianfu Yang 2
1 Department of Mathematics The University of Queensland St. Lucia 4072, Qld, Australia
2 IMECC-UNICAMP 13083-970 Campinas, S.P. Brazil
Colloquium Mathematicum, Tome 90 (2001) no. 1, pp. 19-35 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/cm90-1-2
Keywords: consider neumann problem elliptic system equations involving critical sobolev nonlinearity main objective study effect coefficient critical sobolev nonlinearity existence nonexistence least energy solutions by product obtain weighted sobolev inequality

J. Chabrowski  1   ; Jianfu Yang  2

1 Department of Mathematics The University of Queensland St. Lucia 4072, Qld, Australia
2 IMECC-UNICAMP 13083-970 Campinas, S.P. Brazil 
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J. Chabrowski; Jianfu Yang. On the Neumann problem for an elliptic system of
equations involving the critical Sobolev exponent. Colloquium Mathematicum, Tome 90 (2001) no. 1, pp. 19-35. doi: 10.4064/cm90-1-2

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