Multiplicity of symmetric solutions for a nonlinear eigenvalue problem in ℝn
| dc.contributor.author | Visetti, Daniela | |
| dc.date.accessioned | 2021-05-18T13:43:35Z | |
| dc.date.available | 2021-05-18T13:43:35Z | |
| dc.date.issued | 2005-01-02 | |
| dc.description.abstract | In this paper, we study the nonlinear eigenvalue field equation -Δu + V(|x|)u + ε(-Δpu + W'(u)) = μu where u is a function from ℝn to ℝn+1 with n ≥ 3, ε is a positive parameter and p > n. We fine a multiplicity of solutions, symmetric with respect to an action of the orthogonal group O(n): For any q ∈ ℤ we prove the existence of finitely many pairs (u, μ) solutions for ε sufficiently small, where u is symmetric and has topological charge q. The multiplicity of our solutions can be as large as desired, provided that the singular point of W and ε are chosen accordingly. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 20 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Visetti, D. (2005). Multiplicity of symmetric solutions for a nonlinear eigenvalue problem in Rn. <i>Electronic Journal of Differential Equations, 2005</i>(05), pp. 1-20. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/13576 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University-San Marcos, 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, 2005, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
| dc.subject | Nonlinear Schrödinger equations | |
| dc.subject | Nonlinear eigenvalue problems | |
| dc.title | Multiplicity of symmetric solutions for a nonlinear eigenvalue problem in ℝn | en_US |
| dc.type | Article |