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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

ISSN : 3059-0604

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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: Theoretical Mathematics and Pedagogical Mathematics / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
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. , 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: Theoretical Mathematics and Pedagogical Mathematics

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