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ISSN : 1226-0657

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Vol.12 No.3

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Multiple Existence and Uniqueness of an Elliptic Equation with Exponential Nonlinearity

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2005, v.12 no.3, pp.179-191
CHOE KWANGSEOK
NAM HEE-SEOK
CHOE, K. , & NAM, H. (2005). Multiple Existence and Uniqueness of an Elliptic Equation with Exponential Nonlinearity. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 12(3), 179-191.

Abstract

In this paper we consider a Dirichlet problem in the unit disk. We show that the equation has a unique or multiple solutions according to the range of the parameter. Moreover, we prove that the equation admits a nonradial bifurcation at each branch of radial solutions.

keywords
multiple existence, nonradial solution, uniqueness, bifurcation, eigenvalue problem.

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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