Multiple solutions for quasilinear elliptic equations with sign-changing potential
dc.contributor.author | Wang, Ruimeng | |
dc.contributor.author | Wang, Kun | |
dc.contributor.author | Teng, Kaimin | |
dc.date.accessioned | 2023-05-25T19:50:55Z | |
dc.date.available | 2023-05-25T19:50:55Z | |
dc.date.issued | 2016-01-06 | |
dc.description.abstract | In this article, we study the quasilinear elliptic equation -Δpu - (Δpu2)u + V(x)|u|p-2 u = g(x, u), x ∈ ℝN, where the potential V(x) and the nonlinearity g(x, u) are allowed to be sign-changing. Under some suitable assumptions on V and g, we obtain the multiplicity of solutions by using minimax methods. | |
dc.description.department | Mathematics | |
dc.format | Text | |
dc.format.extent | 19 pages | |
dc.format.medium | 1 file (.pdf) | |
dc.identifier.citation | Wang, R., Wang, K., & Teng, K. (2016). Multiple solutions for quasilinear elliptic equations with sign-changing potential. Electronic Journal of Differential Equations, 2016(10), pp. 1-19. | |
dc.identifier.issn | 1072-6691 | |
dc.identifier.uri | https://hdl.handle.net/10877/16882 | |
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, 2016, San Marcos, Texas: Texas State University and University of North Texas. | |
dc.subject | Quasilinear Schrödinger equation | |
dc.subject | Symmetric mountain pass theorem | |
dc.subject | Cerami condition | |
dc.title | Multiple solutions for quasilinear elliptic equations with sign-changing potential | |
dc.type | Article |