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.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.description.department | Mathematics | |
dc.format | Text | |
dc.format.extent | 11 pages | |
dc.format.medium | 1 file (.pdf) | |
dc.identifier.citation | Zhang, H., & Zhang, R. (2017). Existence of positive solutions to perturbed nonlinear Dirichlet problems involving critical growth. <i>Electronic Journal of Differential Equations, 2017</i>(54), pp. 1-11. | |
dc.identifier.issn | 1072-6691 | |
dc.identifier.uri | https://hdl.handle.net/10877/15580 | |
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, 2017, San Marcos, Texas: Texas State University and University of North Texas. | |
dc.subject | Perturbed nonlinear Dirichlet problem | |
dc.subject | Critical growth | |
dc.subject | Palais-Smale condition | |
dc.subject | Variational methods | |
dc.title | Existence of positive solutions to perturbed nonlinear Dirichlet problems involving critical growth | en_US |
dc.type | Article |