Positive solutions for asymptotically 3-linear quasilinear Schrödinger equations
| dc.contributor.author | Li, Guofa | |
| dc.contributor.author | Cheng, Bitao | |
| dc.contributor.author | Huang, Yisheng | |
| dc.date.accessioned | 2021-09-29T19:50:50Z | |
| dc.date.available | 2021-09-29T19:50:50Z | |
| dc.date.issued | 2020-06-04 | |
| dc.description.abstract | In this article, we study the quasilinear Schrödinger equation -Δu + V(x)u - k/2 [Δ(1 + u2)1/2] u/(1 + u2)1/2 = h(u), x ∈ ℝN, where N ≥ 3, k > 0 is a parameter, V : ℝN → ℝ is a given potential. The nonlinearity h ∈ C(ℝ, ℝ) is asymptotically 3-linear at infinity. We obtain the nonexistence of a least energy solution and the existence of a positive solution, via the Pohožaev manifold and a linking theorem. Our results improve recent results in [4, 22]. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 17 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Li, G., Cheng, B., & Huang, Y. (2020). Positive solutions for asymptotically 3-linear quasilinear Schrödinger equations. <i>Electronic Journal of Differential Equations, 2020</i>(56), pp. 1-17. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14563 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2020, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Quasilinear Schrödinger equations | |
| dc.subject | Asymptotically 3-linear | |
| dc.subject | Pohozaev identity | |
| dc.subject | Linking theorem | |
| dc.subject | Positive solution | |
| dc.title | Positive solutions for asymptotically 3-linear quasilinear Schrödinger equations | |
| dc.type | Article |