Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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UNIQUENESS AND EXISTENCE OF THE SOLUTION FOR CERTAIN SCALAR SEMILINEAR ELLIPTIC PROBLEM

  • JU, HYEONG-KWAN (Dept. of Mathematics, Chonnam National University) ;
  • NAM, ILL-HYEON (Dept. of Mathematics, Chonnam National University)
  • Received : 1998.05.01
  • Published : 1998.07.30
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Abstract

We show by using some properties of an elliptic integral that certain scalar semilinear elliptic problem has a unique solution.

Keywords

References

  1. A Primer of Nonlinear Analysis Ambrosetti, A.;Prodi, G.
  2. Applied Math. Sci. 83 Mathematical Problims from Combustion Theory Berbernes, J.;Eberly, D.
  3. Appl. Anal. v.4 A bifurcation problem for a nonlinear parabolic equation Chafee, N.;Infante, E.
  4. SIAM J. Math. Anal. v.26 no.1 Multiplicity results for two classes of boundary-value problems Korman, P.;Ouyang, T.
  5. Nonlinear Analysis, TMA v.27 no.9 Solution curves for two classes of boundaru-value problems Korman, P.;Ouyang, T.
  6. Appl. Math. & Optimisation On the positive radial solutions of some semilinear elliptic equations on $R^n$ Ni, W.M.
  7. Uniqueness of solutions of nonlinear Dirichlet problems, University of Minnesota Math. Report 81-159 Ni, W.M.
  8. Shock Waves and Reaction-Diffusion Equations Smoller, J.
  9. J. Diff. Egns. v.39 Global bifurcation of steady-state solutions Smoller, J.;Wasserman, A.