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Electronic Journal: Southwest Journal of Pure and Applied Mathematics Internet: http://rattler.cameron.edu/swjpam.html

ISSN 1083-0464

Issue 2, December 2003, pp. 96–104.

Submitted: September 24, 2003. Published: December 31, 2003.

MULTIPLE RADIAL SYMMETRIC SOLUTIONS FOR NONLINEAR BOUNDARY

VALUE PROBLEMS OF p-LAPLACIAN

Qian Zhou and Yuanyuan Ke

Abstract. We discuss the existence of multiple radial symmetric solutions for non-linear boundary value problems of p-Laplacian, based on Leggett-Williams’s fixed

point theorem.

A.M.S. (MOS) Subject Classification Codes. 35J40, 35J65, 35J67.

Key Words and Phrases. Multiple radial symmetric solutions,p-Laplacian equa-tion, Leggett-Williams’s fixed point theorem.

Department of Mathematics, Jilin University, P. R. China. E-mail Address: [email protected]

c

2003 Cameron University

Typeset byAMS-TEX

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