Existence results for nonlinear Schrodinger equations involving the fractional (p,q)-Laplacian and critical nonlinearities
| dc.contributor.author | Lv, Huilin | |
| dc.contributor.author | Zheng, Shenzhou | |
| dc.contributor.author | Feng, Zhaosheng | |
| dc.date.accessioned | 2022-11-04T16:10:47Z | |
| dc.date.available | 2022-11-04T16:10:47Z | |
| dc.date.issued | 2021-12-20 | |
| dc.description.abstract | In this article, we consider the existence of ground state positive solutions for nonlinear Schrodinger equations of the fractional (p, q)-Laplacian with Rabinowitz potentials defined in ℝn, (-∆)s1pu + (-∆)s2qu + V(εx) (|u|p-2 u + |u|q-2 u) = λƒ(u) + σ|u|q*s2-2 u. We prove existence by confining different ranges of the parameter λ under the subcritical or critical nonlinearities caused by σ = 0 or 1, respectively. In particular, a delicate calculation for the critical growth is provided so as to avoid the failure of a global Palais-Smale condition for the energy functional. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 24 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Lv, H., Zheng, S., & Feng, Z. (2021). Existence results for nonlinear Schrodinger equations involving the fractional (p,q)-Laplacian and critical nonlinearities. <i>Electronic Journal of Differential Equations, 2021</i>(100), pp. 1-24. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/16282 | |
| 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, 2021, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Nonlinear Schrödinger equations | |
| dc.subject | Nonlocal (p,q)-Laplacian | |
| dc.subject | Critical growth | |
| dc.subject | Rabinowitz potentials | |
| dc.subject | Nehari manifold | |
| dc.title | Existence results for nonlinear Schrodinger equations involving the fractional (p,q)-Laplacian and critical nonlinearities | |
| dc.type | Article |