Xu Man and Ma Ruyun: Existence of infinitely many radial nodal solutions for a Dirichlet problem involving mean curvature operator in Minkowski space. (2020)
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Abstract
In this paper, we show the existence of infinitely many radial nodal solutions for the following Dirichlet problem involving mean curvature operator in Minkowski space −div � ∇y 1−|∇y| 2 = λh(y) + g(|x|, y) in B, y = 0 on ∂B, where B = {x ∈ RN : |x| < 1} is the unit ball in RN, N ≥ 1, λ ≥ 0 is a parameter, h ∈ C(R) and g ∈ C(R+ × R). By bifurcation and topological methods, we prove the problem possesses infinitely many component of radial solutions branching off at λ = 0 from the trivial solution, each component being characterized by nodal properties.
| Item Type: | Journal |
|---|---|
| Publication full: | Electronic journal of qualitative theory of differential equations |
| Date: | 2020 |
| Number: | 27 |
| ISSN: | 1417-3875 |
| DOI: | 10.14232/ejqtde.2020.1.27 |
| Uncontrolled Keywords: | Differenciálegyenlet |
| Additional Information: | Bibliogr.: p. 11-14. ; összefoglalás angol nyelven |
| Date Deposited: | 2020. Jun. 08. 09:07 |
| Last Modified: | 2021. Oct. 20. 13:52 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/69531 |
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