Concentration points of least energy solutions to the Brezis-Nirenberg equation with variable coefficients

Spectral estimates of least energy solutions to the Brezis–Nirenberg problem with a variable coefficient

“…It is also known that the set of blow-up points of {u ε } consists of one point x 0 ∈ Ω. On the location of the blow-up point x 0 of least energy solutions, the author proved [7] that x 0 ∈ Ω + and x 0 is a minimum point of the function F : Ω + → R + , defined by…”