01627nas a2200241 i 4500 acta88905 20251119140352.0 251119s2025 hu o 000 eng d 1417-3875 10.14232/ejqtde.2025.1.25 doi SZTE Egyetemi Kiadványok Repozitórium hun eng Wang Yaru Existence and nonexistence of solutions for generalized quasilinear Kirchhoff-Schrödinger-Poisson system [elektronikus dokumentum] / Wang Yaru 2025 22 Electronic journal of qualitative theory of differential equations In this paper, we consider the existence and nonexistence of solutions for a class of modified Schrödinger–Poisson system with Kirchhoff-type perturbation by use of variational methods. When nonlinear term h(u) = |u| p−2u, 1 ≤ p < ∞, the nonexistence of nontrivial solutions of system is demonstrated through Pohožaev identity. When nonlinear term h(u) satisfies appropriate assumptions, taking advantage of critical point theorem, we obtain a positive radial solution and a nontrivial one of system when g(u) satisfies different conditions. Moreover, some convergence properties are established as the parameter b → 0. What is more, the nonexistence of nontrivial solutions in critical case is also proved by use of Pohožaev identity. Természettudományok Matematika Kirchhoff-Schrödinger-Poisson rendszer - kvázilineáris Zhang Jing aut http://acta.bibl.u-szeged.hu/88905/1/ejqtde_2025_025.pdf Dokumentum-elérés