Chen Tianlan and Ma Ruyun: Three positive solutions of N-dimensional p-Laplacian with indefinite weight. (2019)
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Abstract
This paper is concerned with the global behavior of components of positive radial solutions for the quasilinear elliptic problem with indefinite weight div(ϕp(∇u)) + λh(x)f(u) = 0, in B, u = 0, on ∂B, where ϕp(s) = |s| p−2 s, B is the unit open ball of RN with N ≥ 1, 1 < p < ∞, λ > 0 is a parameter, f ∈ C([0, ∞), [0, ∞)) and h ∈ C(B¯) is a sign-changing function. We manage to determine the intervals of λ in which the above problem has one, two or three positive radial solutions by using the directions of a bifurcation.
| Item Type: | Journal |
|---|---|
| Publication full: | Electronic journal of qualitative theory of differential equations |
| Date: | 2019 |
| Number: | 19 |
| ISSN: | 1417-3875 |
| Page Range: | pp. 1-14 |
| DOI: | 10.14232/ejqtde.2019.1.19 |
| Uncontrolled Keywords: | Bifurkáció |
| Additional Information: | Bibliogr.: p. 13-14. ; összefoglalás angol nyelven |
| Date Deposited: | 2019. May. 31. 05:49 |
| Last Modified: | 2021. Sep. 16. 10:42 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/58098 |
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