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. 
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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. http://geodesic.mathdoc.fr/articles/10.4064/cm120-1-4/

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