On existence of positive solutions for a class of Caffarelli-Kohn-Nirenberg type equations
J. Chabrowski ; D. G. Costa
Colloquium Mathematicae, Tome 120 (2010), p. 43-62 / Harvested from The Polish Digital Mathematics Library

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.

Publié le : 2010-01-01
EUDML-ID : urn:eudml:doc:284247
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     author = {J. Chabrowski and D. G. Costa},
     title = {On existence of positive solutions for a class of Caffarelli-Kohn-Nirenberg type equations},
     journal = {Colloquium Mathematicae},
     volume = {120},
     year = {2010},
     pages = {43-62},
     zbl = {1197.35124},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm120-1-4}
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J. Chabrowski; D. G. Costa. On existence of positive solutions for a class of Caffarelli-Kohn-Nirenberg type equations. Colloquium Mathematicae, Tome 120 (2010) pp. 43-62. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm120-1-4/