Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
권호 표지

POSITIVE SOLUTIONS OF NONLINEAR ELLIPTIC SINGULAR BOUNDARY VALUE PROBLEMS IN A BALL

  • Lokenath Debnath (Department of Mathematics, University of Texas-Pan American) ;
  • Xu, Xing-Ye (Department of Mathematics, Guangdong Education College)
  • Published : 2004.05.01

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Abstract

This paper deals with existence of positive solutions of nonlinear elliptic singular boundary value problems in a ball. It is shown that results of Grandall et al. [1] and [2] follow as special cases of our results proved in this article.

Keywords

References

  1. Comm. Partial Duff. Eqns. v.2 On a Dirichlet problem with a singular nonlinearity M. G. Grandall;P. H. Rabinowitz;L. Tartar
  2. Nonlinear Anal. Theory Meth. Appl. v.13 no.10 On a Singular Elliptic Boundary Value Problem in a Ball H. Usami
  3. Elliptic Partial Differential Equations of Second Order D. Gilbarg;N. S. Trudinger
  4. J. Differential Equations v.41 On Semilinear Elliptic Boundary Value Problem in Unbounded Domains E. S. Npussair
  5. Sobolev Spaces R. A. Adams