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

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 p...

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Elmentve itt :
Bibliográfiai részletek
Szerzők: Chen Tianlan
Ma Ruyun
Dokumentumtípus: Folyóirat
Megjelent: 2019
Sorozat:Electronic journal of qualitative theory of differential equations
Kulcsszavak:Bifurkáció
doi:10.14232/ejqtde.2019.1.19

Online Access:http://acta.bibl.u-szeged.hu/58098
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520 3 |a 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. 
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