Journal of Advances in Mathematics and Computer Science

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

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.

*Author to whom correspondence should be addressed.

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Abstract

In this paper, we study existence, and the asymptotic behavior, with respect to λ , of positive radially symmetric solutions of

                                                                                −Δ_Ρu = λh(x; u)

in annular domains in R^N;N ≥ 2. The nonlinear term has a superlinear local growth at infinity, and is nonnegative.

Keywords: Positive radial solutions, p-Laplacian, superlinear; asymptotic behavior

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