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

Jan Chabrowski. "On the Neumann problem for systems of elliptic equations involving homogeneous nonlinearities of a critical degree." Colloquium Mathematicae 125.1 (2011): 115-127. <http://eudml.org/doc/283959>.

@article{JanChabrowski2011,
abstract = {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.},
author = {Jan Chabrowski},
journal = {Colloquium Mathematicae},
keywords = {elliptic systems; Neumann problem; homogeneous nonlinearity with critical degree},
language = {eng},
number = {1},
pages = {115-127},
title = {On the Neumann problem for systems of elliptic equations involving homogeneous nonlinearities of a critical degree},
url = {http://eudml.org/doc/283959},
volume = {125},
year = {2011},
}

TY - JOUR
AU - Jan Chabrowski
TI - On the Neumann problem for systems of elliptic equations involving homogeneous nonlinearities of a critical degree
JO - Colloquium Mathematicae
PY - 2011
VL - 125
IS - 1
SP - 115
EP - 127
AB - 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.
LA - eng
KW - elliptic systems; Neumann problem; homogeneous nonlinearity with critical degree
UR - http://eudml.org/doc/283959
ER -