On existence of positive solutions for a class of Caffarelli-Kohn-Nirenberg type equations

J. Chabrowski, and D. G. Costa. "On existence of positive solutions for a class of Caffarelli-Kohn-Nirenberg type equations." Colloquium Mathematicae 120.1 (2010): 43-62. <http://eudml.org/doc/284247>.

@article{J2010,
abstract = {We investigate the solvability of a singular equation of Caffarelli-Kohn-Nirenberg type having a critical-like nonlinearity with a sign-changing weight function. We shall examine how the properties of the Nehari manifold and the fibering maps affect the question of existence of positive solutions.},
author = {J. Chabrowski, D. G. Costa},
journal = {Colloquium Mathematicae},
keywords = {Nehari manifold; Caffarelli-Kohn-Nirenberg inequality; critical nonlinearity; sign-changing weight function; concentration-compactness principle at infinity},
language = {eng},
number = {1},
pages = {43-62},
title = {On existence of positive solutions for a class of Caffarelli-Kohn-Nirenberg type equations},
url = {http://eudml.org/doc/284247},
volume = {120},
year = {2010},
}

TY - JOUR
AU - J. Chabrowski
AU - D. G. Costa
TI - On existence of positive solutions for a class of Caffarelli-Kohn-Nirenberg type equations
JO - Colloquium Mathematicae
PY - 2010
VL - 120
IS - 1
SP - 43
EP - 62
AB - We investigate the solvability of a singular equation of Caffarelli-Kohn-Nirenberg type having a critical-like nonlinearity with a sign-changing weight function. We shall examine how the properties of the Nehari manifold and the fibering maps affect the question of existence of positive solutions.
LA - eng
KW - Nehari manifold; Caffarelli-Kohn-Nirenberg inequality; critical nonlinearity; sign-changing weight function; concentration-compactness principle at infinity
UR - http://eudml.org/doc/284247
ER -