Multiple Existence and Uniqueness of an Elliptic Equation with Exponential Nonlinearity

한국수학교육학회지시리즈B:순수및응용수학 / 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 (DEPARTMENT OF MATHEMATICS, SEOUL NATIONAL UNIVERSITY)
NAM HEE-SEOK (DEPARTMENT OF MATHEMATICS EDUCATION, SUNGKYUNKWAN UNIVERSITY)

CHOE KWANGSEOK, & NAM HEE-SEOK. (2005). MULTIPLE EXISTENCE AND UNIQUENESS OF AN ELLIPTIC EQUATION WITH EXPONENTIAL NONLINEARITY. 한국수학교육학회지시리즈B:순수및응용수학, 12(3), 179-191.

복사

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.

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논문 상세

Vol.12 No.3

MULTIPLE EXISTENCE AND UNIQUENESS OF AN ELLIPTIC EQUATION WITH EXPONENTIAL NONLINEARITY

Multiple Existence and Uniqueness of an Elliptic Equation with Exponential Nonlinearity

Abstract

한국수학교육학회지시리즈B:순수및응용수학