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 :
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| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2023
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| Sorozat: | Electronic journal of qualitative theory of differential equations
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| Kulcsszavak: | Schrödinger-egyenlet - kvázilineáris |
| Tárgyszavak: | |
| doi: | 10.14232/ejqtde.2023.1.3 |
| Online Access: | http://acta.bibl.u-szeged.hu/78358 |