Sign-changing solutions for non-local elliptic equations
| dc.contributor.author | Luo, Huxiao | |
| dc.date.accessioned | 2022-06-08T17:25:52Z | |
| dc.date.available | 2022-06-08T17:25:52Z | |
| dc.date.issued | 2017-07-14 | |
| dc.description.abstract | This article concerns the existence of sign-changing solutions for equations driven by a non-local integrodifferential operator with homogeneous Dirichlet boundary conditions, -LKu = ƒ(x, u), x ∈ Ω, u = 0, x ∈ ℝn \ Ω, where Ω ⊂ ℝn (n ≥ 2) is a bounded, smooth domain and the nonlinear term ƒ satisfies suitable growth assumptions. By using Brouwer's degree theory and Deformation Lemma and arguing as in [2], we prove that there exists a least energy sign-changing solution. Our results generalize and improve some results obtained in [27]. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 15 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Luo, H. (2017). Sign-changing solutions for non-local elliptic equations. Electronic Journal of Differential Equations, 2017(180), pp. 1-15. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15873 | |
| 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 | Brouwer's degree theory | |
| dc.subject | Sign-changing solutions | |
| dc.subject | Non-local elliptic equations | |
| dc.subject | Deformation Lemma | |
| dc.title | Sign-changing solutions for non-local elliptic equations | |
| dc.type | Article |