Existence of ground state solutions for quasilinear Schrödinger equations with variable potentials and almost necessary nonlinearities
| dc.contributor.author | Chen, Sitong | |
| dc.contributor.author | Tang, Xianhua | |
| dc.date.accessioned | 2022-02-22T21:19:03Z | |
| dc.date.available | 2022-02-22T21:19:03Z | |
| dc.date.issued | 2018-08-29 | |
| dc.description.abstract | In this article we prove the existence of ground state solutions for the quasilinear Schrödinger equation -∆u + V(x)u - ∆(u2)u = g(u), x ∈ ℝN, where N ≥ 3, V ∈ C1(ℝN, [0, ∞)) satisfies mild decay conditions and g ∈ C(ℝ, ℝ) satisfies Berestycki-Lions conditions which are almost necessary. In particular, we introduce some new inequalities and techniques to overcome the lack of compactness. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 13 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Chen, S., & Tang, X. (2018). Existence of ground state solutions for quasilinear Schrödinger equations with variable potentials and almost necessary nonlinearities. <i>Electronic Journal of Differential Equations, 2018</i>(157), pp. 1-13. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15406 | |
| 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, 2018, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Quasilinear Schrödinger equation | |
| dc.subject | Ground state solution | |
| dc.subject | Berestycki-Lions conditions | |
| dc.title | Existence of ground state solutions for quasilinear Schrödinger equations with variable potentials and almost necessary nonlinearities | |
| dc.type | Article |