An Existence Result for a Generalized Quasilinear Schrödinger Equation with Nonlocal Term
In this paper, we consider the following generalized quasilinear Schrödinger equation with nonlocal term −divg2u∇u+gug′u∇u2+Vxu=λx−μ∗upup−2u,x∈ℝN, where N≥3, g:ℝ→ℝ+ is a C1 even function, g0=1, g′s≥0 is for all s≥0, lim∣s∣→+∞gs/sα−1≔β>0 is for some α>1, and α−1gs≥g′ss is for all s≥0, 2α≤p≤2αN−...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2020-01-01
|
| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2020/6430104 |