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

J. Chabrowski, and Jianfu Yang. "On the Neumann problem for an elliptic system of equations involving the critical Sobolev exponent." Colloquium Mathematicae 90.1 (2001): 19-35. <http://eudml.org/doc/284030>.

@article{J2001,
abstract = {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.},
author = {J. Chabrowski, Jianfu Yang},
journal = {Colloquium Mathematicae},
keywords = {existence and nonexistence of least energy solutions; variational approach; concentration-compactness principle},
language = {eng},
number = {1},
pages = {19-35},
title = {On the Neumann problem for an elliptic system of equations involving the critical Sobolev exponent},
url = {http://eudml.org/doc/284030},
volume = {90},
year = {2001},
}

TY - JOUR
AU - J. Chabrowski
AU - Jianfu Yang
TI - On the Neumann problem for an elliptic system of equations involving the critical Sobolev exponent
JO - Colloquium Mathematicae
PY - 2001
VL - 90
IS - 1
SP - 19
EP - 35
AB - 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.
LA - eng
KW - existence and nonexistence of least energy solutions; variational approach; concentration-compactness principle
UR - http://eudml.org/doc/284030
ER -