Existence of positive solutions to perturbed nonlinear Dirichlet problems involving critical growth
| dc.contributor.author | Zhang, Huixing ( ) | |
| dc.contributor.author | Zhang, Ran ( ) | |
| dc.date.accessioned | 2022-03-30T18:55:33Z | |
| dc.date.available | 2022-03-30T18:55:33Z | |
| dc.date.issued | 2017-02-21 | |
| dc.identifier.citation | Zhang, H., & Zhang, R. (2017). Existence of positive solutions to perturbed nonlinear Dirichlet problems involving critical growth. Electronic Journal of Differential Equations, 2017(54), pp. 1-11. | en_US |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://digital.library.txstate.edu/handle/10877/15580 | |
| dc.description.abstract | We consider the following perturbed nonlinear elliptic problem with critical growth -ε2 ∆u + V(x)u = ƒ(x)|u|p-2u + α/α+β K(x)|u|α-2u|v|β, x ∈ ℝN, -ε2 ∆v + V(x)v = g(x)|v|p-2 v + β/+β K(x)|u|α|v|β-2v, x ∈ ℝN, u(x), v(x) → 0 as |x| → ∞. Using variational methods, we prove the existence of positive solutions. | |
| dc.format | Text | |
| dc.format.extent | 11 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.language.iso | en | en_US |
| dc.publisher | Texas State University, Department of Mathematics | en_US |
| dc.source | Electronic Journal of Differential Equations, 2017, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Perturbed nonlinear Dirichlet problem | en_US |
| dc.subject | Critical growth | en_US |
| dc.subject | Palais-Smale condition | en_US |
| dc.subject | Variational methods | en_US |
| dc.title | Existence of positive solutions to perturbed nonlinear Dirichlet problems involving critical growth | en_US |
| dc.type | publishedVersion | |
| txstate.documenttype | Article | |
| dc.rights.license |  This work is licensed under a Creative Commons Attribution 4.0 International License. | |
| dc.description.department | Mathematics |
