Existence of positive solutions for a class of p-Laplacian type generalized quasilinear Schrödinger equations with critical growth and potential vanishing at infinity
In this paper, we study the existence of positive solutions for the following generalized quasilinear Schrödinger equation − div(g p (u)|∇u| p−2∇u) + g p−1 (u)g (u)|∇u| p + V(x)|u| p−2u = K(x)f(u) + Q(x)g(u)|G(u)| p ∗−2G(u), x ∈ R N, where N ≥ 3, 1 < p ≤ N, p Np N−p , g ∈ C1 (R, R+), V(x) and K(x...
Elmentve itt :
| Szerző: | |
|---|---|
| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2023
|
| Sorozat: | Electronic journal of qualitative theory of differential equations
|
| Kulcsszavak: | Schrödinger-egyenlet - kvázilineáris |
| Tárgyszavak: | |
| doi: | 10.14232/ejqtde.2023.1.3 |
| Online Access: | http://acta.bibl.u-szeged.hu/78358 |
| LEADER | 01429nas a2200217 i 4500 | ||
|---|---|---|---|
| 001 | acta78358 | ||
| 005 | 20230313130527.0 | ||
| 008 | 230313s2023 hu o 0|| eng d | ||
| 022 | |a 1417-3875 | ||
| 024 | 7 | |a 10.14232/ejqtde.2023.1.3 |2 doi | |
| 040 | |a SZTE Egyetemi Kiadványok Repozitórium |b hun | ||
| 041 | |a eng | ||
| 100 | 1 | |a Li Zhen | |
| 245 | 1 | 0 | |a Existence of positive solutions for a class of p-Laplacian type generalized quasilinear Schrödinger equations with critical growth and potential vanishing at infinity |h [elektronikus dokumentum] / |c Li Zhen |
| 260 | |c 2023 | ||
| 490 | 0 | |a Electronic journal of qualitative theory of differential equations | |
| 520 | 3 | |a In this paper, we study the existence of positive solutions for the following generalized quasilinear Schrödinger equation − div(g p (u)|∇u| p−2∇u) + g p−1 (u)g (u)|∇u| p + V(x)|u| p−2u = K(x)f(u) + Q(x)g(u)|G(u)| p ∗−2G(u), x ∈ R N, where N ≥ 3, 1 < p ≤ N, p Np N−p , g ∈ C1 (R, R+), V(x) and K(x) are positive continuous functions and G(u) = R u 0 g(t)dt. By using a change of variable, we obtain the existence of positive solutions for this problem by using the Mountain Pass Theorem. Our results generalize some existing results. | |
| 650 | 4 | |a Természettudományok | |
| 650 | 4 | |a Matematika | |
| 695 | |a Schrödinger-egyenlet - kvázilineáris | ||
| 856 | 4 | 0 | |u http://acta.bibl.u-szeged.hu/78358/1/ejqtde_2023_003.pdf |z Dokumentum-elérés |