On existence of positive solutions for a class of Caffarelli–Kohn–Nirenberg type equations
Tom 120 / 2010
Colloquium Mathematicum 120 (2010), 43-62
MSC: 35B33, 35J65, 35Q55.
DOI: 10.4064/cm120-1-4
Streszczenie
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.
