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 |
| Tartalmi kivonat: | 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. |
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| Terjedelem/Fizikai jellemzők: | 22 |
| ISSN: | 1417-3875 |