On the covering dimension of the set of solutions of some nonlinear equations
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- by P. M. Fitzpatrick, I. Massabò and J. Pejsachowicz
- Trans. Amer. Math. Soc. 296 (1986), 777-798
- DOI: https://doi.org/10.1090/S0002-9947-1986-0846606-4
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Abstract:
We prove an abstract theorem whose sole hypothesis is that the degree of a certain map is nonzero and whose conclusions imply sharp, multidimensional continuation results. Applications are given to nonlinear partial differential equations.References
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Bibliographic Information
- © Copyright 1986 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 296 (1986), 777-798
- MSC: Primary 47H15; Secondary 55M99, 58C30
- DOI: https://doi.org/10.1090/S0002-9947-1986-0846606-4
- MathSciNet review: 846606