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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm120-1-4, 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} }
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/