An Elliptic Neumann Problem with Subcritical Nonlinearity

Jan Chabrowski, and Kyril Tintarev. "An Elliptic Neumann Problem with Subcritical Nonlinearity." Bulletin of the Polish Academy of Sciences. Mathematics 53.1 (2005): 7-16. <http://eudml.org/doc/280519>.

@article{JanChabrowski2005,
abstract = {We establish the existence of a solution to the Neumann problem in the half-space with a subcritical nonlinearity on the boundary. Solutions are obtained through the constrained minimization or minimax. The existence of solutions depends on the shape of a boundary coefficient.},
author = {Jan Chabrowski, Kyril Tintarev},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {trace embedding; concentration-compactness principle; subcritical exponent},
language = {eng},
number = {1},
pages = {7-16},
title = {An Elliptic Neumann Problem with Subcritical Nonlinearity},
url = {http://eudml.org/doc/280519},
volume = {53},
year = {2005},
}

TY - JOUR
AU - Jan Chabrowski
AU - Kyril Tintarev
TI - An Elliptic Neumann Problem with Subcritical Nonlinearity
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2005
VL - 53
IS - 1
SP - 7
EP - 16
AB - We establish the existence of a solution to the Neumann problem in the half-space with a subcritical nonlinearity on the boundary. Solutions are obtained through the constrained minimization or minimax. The existence of solutions depends on the shape of a boundary coefficient.
LA - eng
KW - trace embedding; concentration-compactness principle; subcritical exponent
UR - http://eudml.org/doc/280519
ER -