The existence or nonexistence of solutions for some equations involving weighted critical exponents on the unit ball

In this paper, we extend the results of Brezis and Willem (J Funct Anal 255:2286-2298, 2008) to the equation with single or double weighted critical exponents, including Hardy-Sobolev, Sobolev and Henon-Sobolev exponents. More precisely, we establish the existence or nonexistence of equation with different coefficient which has an important impact.

Automated summary

This paper extends the results of Brezis and Willem (2008) to equations with single or double weighted critical exponents, including Hardy-Sobolev, Sobolev and Henon-Sobolev exponents. The study establishes the existence or nonexistence of equations with different coefficients, showcasing their significant impact.