• Title/Summary/Keyword: nonradial solution

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MULTIPLE EXISTENCE AND UNIQUENESS OF AN ELLIPTIC EQUATION WITH EXPONENTIAL NONLINEARITY

  • CHOE KWANGSEOK;NAM HEE-SEOK
    • The Pure and Applied Mathematics
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    • v.12 no.3 s.29
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    • pp.179-191
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    • 2005
  • 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.

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