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Existence of nonnegative solutions for boundary value problems

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By means of Green function and fixed point theorem related with cone theoretic method we show that there exist multiple nonnegative solutions of a Dirichlet problem [수식] and a mixed problem [수식] where ϒ and μ are positive parameters.

Abstract

By means of Green function and fixed point theorem related with cone theoretic method we show that there exist multiple nonnegative solutions of a Dirichlet problem [수식] and a mixed problem [수식] where ϒ and μ are positive parameters.

참고문헌 (12)

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  8. . R. Kaufmann, "A multiplicity result for a boundary value problems with infinitely many singularities", Jour. of Math. Anal. and Appl. Publ, 269, pp.444~453 (2002)
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  10. J. Wang, "Solvability of singular nonlinear two-point boundary problems", Nonlin-ear Analysis, Theory, Methods & Applications, 24,(4), pp.555~561 (1995)
  11. Y. H. Lee, "A multiplicity result of positive solutions for the generalized Gelfand type singular boundary problems", Nonlinear Analysis, Theory, Methods & Ap-plications., 30(6), pp.3829~3835 (1997)
  12. E. Zeidler, "Nonlinear Functional Annalysis and its Applications I, Fixed-Point Theorems" (1985), Springer-Verlag

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