Geodesic
On existence of positive solutions for a class of Caffarelli–Kohn–Nirenberg type equations
J. Chabrowski1 ; D. G. Costa2
1 Department of Mathematics University of Queensland St. Lucia 4072, Qld, Australia
2 Department of Mathematical Sciences University of Nevada Las Vegas Box 454020 Las Vegas, NV 89154-4020, U.S.A.
Colloquium Mathematicum, Tome 120 (2010) no. 1, pp. 43-62

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/cm120-1-4
Keywords: investigate solvability singular equation caffarelli kohn nirenberg type having critical like nonlinearity sign changing weight function shall examine properties nehari manifold fibering maps affect question existence positive solutions

J. Chabrowski 1 ; D. G. Costa 2

1 Department of Mathematics University of Queensland St. Lucia 4072, Qld, Australia
2 Department of Mathematical Sciences University of Nevada Las Vegas Box 454020 Las Vegas, NV 89154-4020, U.S.A. 
@article{10_4064_cm120_1_4,
     author = {J. Chabrowski and D. G. Costa},
     title = {On existence of positive solutions for a class of {Caffarelli{\textendash}Kohn{\textendash}Nirenberg} type equations},
     journal = {Colloquium Mathematicum},
     pages = {43--62},
     publisher = {mathdoc},
     volume = {120},
     number = {1},
     year = {2010},
     doi = {10.4064/cm120-1-4},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/cm120-1-4/}
}
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 Mathematicum
PY  - 2010
SP  - 43
EP  - 62
VL  - 120
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/cm120-1-4/
DO  - 10.4064/cm120-1-4
LA  - en
ID  - 10_4064_cm120_1_4
ER  - 
%0 Journal Article
%A J. Chabrowski
%A D. G. Costa
%T On existence of positive solutions for a class of Caffarelli–Kohn–Nirenberg type equations
%J Colloquium Mathematicum
%D 2010
%P 43-62
%V 120
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/cm120-1-4/
%R 10.4064/cm120-1-4
%G en
%F 10_4064_cm120_1_4
J. Chabrowski; D. G. Costa. On existence of positive solutions for a class of Caffarelli–Kohn–Nirenberg type equations. Colloquium Mathematicum, Tome 120 (2010) no. 1, pp. 43-62. doi: 10.4064/cm120-1-4

Cité par Sources :