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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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On the dimension and the index of the solution set of nonlinear equations
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by P. S. Milojević PDF
Trans. Amer. Math. Soc. 347 (1995), 835-856 Request permission

Abstract:

We study the covering dimension and the index of the solution set to multiparameter nonlinear and semilinear operator equations involving Fredholm maps of positive index. The classes of maps under consideration are (pseudo) $A$-proper and either approximation-essential or equivariant approximation-essential. Applications are given to semilinear elliptic BVP’s.
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Additional Information
  • © Copyright 1995 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 347 (1995), 835-856
  • MSC: Primary 47H15; Secondary 35J65, 47N20, 58E07
  • DOI: https://doi.org/10.1090/S0002-9947-1995-1282894-6
  • MathSciNet review: 1282894