Ground state solutions for quasilinear Schrodinger equations with periodic potential
| dc.contributor.author | Zhang, Jing | |
| dc.contributor.author | Ji, Chao | |
| dc.date.accessioned | 2021-10-04T14:50:25Z | |
| dc.date.available | 2021-10-04T14:50:25Z | |
| dc.date.issued | 2020-07-29 | |
| dc.description.abstract | This article concerns the quasilinear Schrödinger equation -Δu - uΔ(u2) + V(x)u = K(x)|u|2‧2*-2u + g(x, u), x ∈ ℝN, u ∈ H1(ℝN), u > 0, where V and K are positive, continuous and periodic functions, g(x, u) is periodic in x and has subcritical growth. We use the generalized Nehari manifold approach developed by Szulkin and Weth to study the ground state solution, i.e. the nontrivial solution with least possible energy. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 12 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Zhang, J., & Ji, C. (2020). Ground state solutions for quasilinear Schrodinger equations with periodic potential. <i>Electronic Journal of Differential Equations, 2020</i>(82), pp. 1-12. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14589 | |
| 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 equation | |
| dc.subject | Nehari manifold | |
| dc.subject | Ground state | |
| dc.title | Ground state solutions for quasilinear Schrodinger equations with periodic potential | |
| dc.type | Article |