Existence and nonexistence of solutions for generalized quasilinear Kirchhoff-Schrödinger-Poisson system
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 demonstra...
Elmentve itt :
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| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2025
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| Sorozat: | Electronic journal of qualitative theory of differential equations
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| Kulcsszavak: | Kirchhoff-Schrödinger-Poisson rendszer - kvázilineáris |
| Tárgyszavak: | |
| doi: | 10.14232/ejqtde.2025.1.25 |
| Online Access: | http://acta.bibl.u-szeged.hu/88905 |
| LEADER | 01627nas a2200241 i 4500 | ||
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| 005 | 20251119140352.0 | ||
| 008 | 251119s2025 hu o 000 eng d | ||
| 022 | |a 1417-3875 | ||
| 024 | 7 | |a 10.14232/ejqtde.2025.1.25 |2 doi | |
| 040 | |a SZTE Egyetemi Kiadványok Repozitórium |b hun | ||
| 041 | |a eng | ||
| 100 | 1 | |a Wang Yaru | |
| 245 | 1 | 0 | |a Existence and nonexistence of solutions for generalized quasilinear Kirchhoff-Schrödinger-Poisson system |h [elektronikus dokumentum] / |c Wang Yaru |
| 260 | |c 2025 | ||
| 300 | |a 22 | ||
| 490 | 0 | |a Electronic journal of qualitative theory of differential equations | |
| 520 | 3 | |a 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. | |
| 650 | 4 | |a Természettudományok | |
| 650 | 4 | |a Matematika | |
| 695 | |a Kirchhoff-Schrödinger-Poisson rendszer - kvázilineáris | ||
| 700 | 0 | 1 | |a Zhang Jing |e aut |
| 856 | 4 | 0 | |u http://acta.bibl.u-szeged.hu/88905/1/ejqtde_2025_025.pdf |z Dokumentum-elérés |