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Research Article Open access CC BY 4.0

Positive Radial Solutions of the p-Laplacian in an Annulus with a Superlinear Nonlinearity with Zeros

Xiaomin Liu, Zuodong Yang

Journal of Advances in Mathematics and Computer Science · pp. 429–438 · Published 14 Nov 2014

10.9734/BJMCS/2015/13254

Abstract

In this paper, we study existence, and the asymptotic behavior, with respect to λ , of positive radially symmetric solutions of                                                                                 −ΔΡu = λh(x; u) in annular domains in RN;N ≥ 2. The nonlinear term has a superlinear local growth at infinity, and is nonnegative.

Positive radial solutions p-Laplacian superlinear; asymptotic behavior

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Cited by 3

Asymptotic behavior for the radial eigenvalues of p-Laplacian in certain annular domains

Anderson L. A. de Araujo · São Paulo Journal of Mathematical Sciences · 2024

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