Publication Cover
Applicable Analysis
An International Journal
Volume 70, 1998 - Issue 1-2
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Original Articles

Existence of multiple ordered solutions for a semilinear elliptic boundary value problem

Pages 61-66 | Received 01 Jan 1998, Published online: 02 May 2007

References

  • Ambrosetti , A. and Prodi , G. 1973 . On the inversion of some differential mapings with singularities between Banach spaces . Ann. Math. Pura Appl , 93 : 231 – 247 .
  • Angenent , S. B. 1985 . Uniqueness of the Solution of a Semilinear Boundary Value Problem . Math. Ann , 272 : 129 – 138 .
  • Berestycki , H. 1981 . Le nombre de solutions de certains problèmes semi-linéaires elliptiques . J. Fund. Anal , 40 : 1 – 29 .
  • Börsch-Supan , W. and Fiebig-Wittmaack , M. 1991 . Stability of Stationary Solutions of a One-Dimensional Parabolic Equation with Homogeneous Neu- mann Boundary Conditions . J. Differential Equations , 94 : 55 – 66 .
  • Cortázar , C. , Elgueta , M. and Felmer , P. 1994 . ESristence of signed solutions for a semilinear elliptic boundary value problem . Differential and Integral Equations , 7 ( 1 ) : 292 – 299 .
  • Fiebig-Wittmaack , M. 1988 . Multiplicity of solutions of a nonlinear boundary value problem with homogeneous Neumann boundary conditions . Appl. Anal , 29 ( 1 ) : 253 – 268 .
  • Matano , H. 1979 . Asymptotic behavior and stability of solutions of semilinear diffusion equations . Publ. h. Inst. Math. Sci , 15 ( 1 ) : 401 – 454 .
  • Matano , H. 1984 . Ekistence of nontrivial unstable sets for equilibriums of strongly order-preserving systems . J. Fac. Sci. Univ. Tokyo, Sect. IA, Math , 30 ( 1 ) : 645 – 673 .
  • Protter , M. H. and Weinberger , H. F. 1967 . Maximum principles in differential equations , PrenticeHall .
  • Ruf , B. 1990 . Singularity theory and the geometry of a nonlinear elliptic equation . Ann. Sc. Norm. Sup. Pisa, C. Sc , 17 ( 4 ) : 1 – 33 .
  • Ruf , B. 1992 . Forced secondary bifurcation in an elliptic boundary value problem . Differential and Integral Equations , 5 ( 4 ) : 793 – 804 .
  • Sweers , G. 1998 . “ Existence and stability for a nonautonomous semilinear elliptic eigenvalue problem ” . In octoral Thesis , Delft University .
  • Wang , Z. 1995 . The effect of the domain geometry on the nymber of positive solutions of Neumann problems with critical exponents . Differential and Integral Equations , 8 ( 6 ) : 1533 – 1554 .

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