On the dimension and the index of the solution set of nonlinear equations
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- by P. S. Milojević PDF
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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.References
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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