TY  - GEN
Y1  - 2022///
ID  - acta78339
AV  - public
A1  -  Li Yong-Yong
A1  -  Li Gui-Dong
A1  -  Tang Chun-Lei
SN  - 1417-3875
KW  - Choquard egyenlet
UR  - http://acta.bibl.u-szeged.hu/78339/
N2  - In this paper, we study sign-changing solution of the Choquard type equation ??u + (?V(x) + 1) u = I? ? |u| 2 |u| 2 ??2u + ľ|u| p?2u in R N, where N ? 3, ? ? ((N ? 4) +, N), I? is a Riesz potential, p ? 2 2N N?2 , 2? := N+? N?2 is the upper critical exponent in terms of the Hardy?Littlewood?Sobolev inequality, ľ > 0, ? > 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 ?, ľ large enough. Further, we verify the asymptotic behaviour of ground state sign-changing solutions as ? ? +? and ľ ? +?, respectivel.
TI  - Ground state sign-changing solutions for critical Choquard equations with steep well potential
N1  - Bibliogr.: p. 17-20. ; összefoglalás angol nyelven
ER  -