Sign-changing solutions for elliptic equations with fast increasing weight and concave-convex nonlinearities
| dc.contributor.author | Qian, Xiaotao | |
| dc.contributor.author | Chen, Jianqing | |
| dc.date.accessioned | 2022-07-27T20:19:58Z | |
| dc.date.available | 2022-07-27T20:19:58Z | |
| dc.date.issued | 2017-09-22 | |
| dc.description.abstract | In this article, we study the problem -div(K(x)∇u) = α(x)K(x)|u|q-2 u + b(x)K(x)|u|2*-2u, x ∈ ℝN, where 2* = 2N/(N - 2), N ≥ 3, 1 < q < 2, K(x) = exp(|x|α/4) with α ≥ 2. Under some assumptions on the potentials α(x) and b(x), we obtain a pair of sign-changing solutions of the problem via variational methods and certain estimates. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 16 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Qian, X., & Chen, J. (2017). Sign-changing solutions for elliptic equations with fast increasing weight and concave-convex nonlinearities. <i>Electronic Journal of Differential Equations, 2017</i>(229), pp. 1-16. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15998 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.holder | This work is licensed under a Creative Commons Attribution 4.0 International License. | |
| 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 | Sign-changing solutions | |
| dc.subject | Variational methods | |
| dc.subject | Critical problem | |
| dc.title | Sign-changing solutions for elliptic equations with fast increasing weight and concave-convex nonlinearities | |
| dc.type | Article |