대한수학회지 (Journal of the Korean Mathematical Society)

  • 제37권6호
  • /
  • Pages.901-913
  • /
  • 2000
  • /
  • 0304-9914(pISSN)
  • /
  • 2234-3008(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지

THE INDEX FOR A TOPOLOGICAL DEGREE THEORY FOR DENSELY DENIED OPERATORS OF TYPE ${S_+}_O,L$ IN BANACH SPACES

  • Kartsatos, Athanassios G. (Department of Mathematics, University of South Florida) ;
  • Skrypnik, Igor V. (Institute for Applied Mathematics and Mechanics)
  • 발행 : 2000.11.01
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초록

This is a summary of results involving the development of a theory of an index of an isolated critical point for densely defined nonlinear operators of type (S(sub)+)(sub)0,L. This index theory is associated with a degree theory, for such operators, whch has been recently developed by the authors.

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참고문헌

  1. Rend. Mat., Ser. Ⅶ v.12 Topological degree for perturbations of linear maximal monotone mappings and applications to a class of parabolic problems J. Berkovits;V. Mustonen
  2. Pitman Res. Notes Math. Ser. v.264 Solvability and bifurcation of Nonlinear Equations P. Drabek
  3. Adv. Differential Equations v.4 Topological degree theories for densely defined mapplings involving operators of type (S+) A.G. Kartsatos;I.V. Skrypnik
  4. J. Math. Soc. Japan v.52 The index of a critical point for nonlinear elliptic operators with strong coefficient growth
  5. Topological methods in the theory of nonlinear integral equations M. Krasnoselskij
  6. Generalized topological degree and semilinear equations W.V. Petryshyn
  7. Gauthier-Villars Legons d'analyse fonctionnelle F. Riesz;B. Sz.-Nagy
  8. Naukova Dumka Nonlinear higher order elliptic equations I.V. Skrypnik
  9. Amer. Math. Soc. Transl. Ser. Ⅱ v.139 Methods for analysis of nonlinear elliptic boundary value problems