%X In this paper, we study sign-changing solution of the Choquard type equation −∆u + (λV(x) + 1) u = Iα ∗ |u| 2 |u| 2 α−2u + µ|u| p−2u in R N, where N ≥ 3, α ∈ ((N − 4) +, N), Iα is a Riesz potential, p ∈ 2 2N N−2 , 2∗ := N+α N−2 is the upper critical exponent in terms of the Hardy–Littlewood–Sobolev inequality, µ > 0, λ > 0, V ∈ C(RN, R) is nonnegative and has a potential well. By combining the variational methods and sign-changing Nehari manifold, we prove the existence and some properties of ground state sign-changing solution for λ, µ large enough. Further, we verify the asymptotic behaviour of ground state sign-changing solutions as λ → +∞ and µ → +∞, respectivel.
%T Ground state sign-changing solutions for critical Choquard equations with steep well potential
%L acta78339
%N 54
%O Bibliogr.: p. 17-20. ; ĂśsszefoglalĂĄs angol nyelven
%D 2022
%A  Li Yong-Yong
%A  Li Gui-Dong
%A  Tang Chun-Lei
%K Choquard egyenlet