- P-ISSN3059-0604
- E-ISSN3059-1309
- KCI
ISSN : 3059-0604
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MULTIPLE EXISTENCE AND UNIQUENESS OF AN ELLIPTIC EQUATION WITH EXPONENTIAL NONLINEARITY
Multiple Existence and Uniqueness of an Elliptic Equation with Exponential Nonlinearity
한국수학교육학회지시리즈B:순수및응용수학 / 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
(DEPARTMENT OF MATHEMATICS, SEOUL NATIONAL UNIVERSITY)
NAM HEE-SEOK (DEPARTMENT OF MATHEMATICS EDUCATION, SUNGKYUNKWAN 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. , 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.