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

Xiaomin Liu; Zuodong Yang

doi:10.9734/BJMCS/2015/13254

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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Xiaomin Liu, Zuodong Yang (2014). Positive Radial Solutions of the p-Laplacian in an Annulus with a Superlinear Nonlinearity with Zeros. Journal of Advances in Mathematics and Computer Science , 429–438. https://doi.org/10.9734/BJMCS/2015/13254

Affiliations

Xiaomin Liu — Institute of Mathematics, School of Mathematical Sciences, Nanjing Normal University, Jiangsu Nanjing 210023, China.
Zuodong Yang — Institute of Mathematics, School of Mathematical Sciences, Nanjing Normal University, Jiangsu Nanjing 210023, China and School of Teacher Education, Nanjing Normal University, Jiangsu Nanjing 210097, China.

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