Three positive solutions of N-dimensional p-Laplacian with indefinite weight

Chen, Tianlan and Ma, Ruyun: Three positive solutions of N-dimensional p-Laplacian with indefinite weight. Electronic journal of qualitative theory of differential equations 19. pp. 1-14. (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: Article
Journal or Publication Title: Electronic journal of qualitative theory of differential equations
Date: 2019
Number: 19
Page Range: pp. 1-14
ISSN: 1417-3875
DOI: https://doi.org/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: 2019. May. 31. 05:49
URI: http://acta.bibl.u-szeged.hu/id/eprint/58098

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