The Brezis–Nirenberg problem for fractional systems with Hardy potentials
Sign Up to like & getrecommendations! Published in 2021 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.7856
Abstract: In this work, we study the existence of positive solutions to the following fractional elliptic systems with Hardy‐type singular potentials and coupled by critical homogeneous nonlinearities (−Δ)su−μ1u|x|2s=|u|2s∗−2u+ηα2s∗|u|α−2|v|βu+12Qu(u,v)inΩ,(−Δ)sv−μ2v|x|2s=|v|2s∗−2v+ηβ2s∗|u|α|v|β−2v+12Qv(u,v)inΩ,u,v>0inΩ,u=v=0inℝN\Ω, where (− Δ)s denotes the fractional Laplace operator, Ω⊂ℝN… read more here.
Keywords: brezis nirenberg; systems hardy; problem fractional; fractional systems ... See more keywords
The Brezis–Nirenberg type problem for the p-laplacian (1
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2018.10.004
Abstract: Abstract In this paper we consider the quasilinear critical problem ( P λ ) { − Δ p u = λ u q − 1 + u p ⁎ − 1 in Ω u >… read more here.
Keywords: nirenberg type; problem; type problem; brezis nirenberg ... See more keywords
A nonexistence result for blowing up sign-changing solutions of the Brezis–Nirenberg-type problem
Sign Up to like & getrecommendations! Published in 2018 at "Turkish Journal of Mathematics"
DOI: 10.3906/mat-1709-47
Abstract: where Ω is a smooth bounded domain in R , n ≥ 4 , p + 1 = 2n/(n − 2) is the critical Sobolev exponent for the embedding of H 0 (Ω) into L(Ω)… read more here.
Keywords: changing solutions; mathematics; sign changing; brezis nirenberg ... See more keywords