Semilinear elliptic equations and fixed points |
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| Authors: | Cleon S. Barroso |
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| Affiliation: | Departamento de Matematica, Universidade Federal do Ceará, Campus do Pici, Bl. 914, Fortaleza-Ce, 60455-760, Brazil |
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| Abstract: | In this paper, we deal with a class of semilinear elliptic equations in a bounded domain  ,  , with  boundary. Using a new fixed point result of the Krasnoselskii type for the sum of two operators, an existence principle of strong solutions is proved. We give two examples where the nonlinearity can be critical. |
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| Keywords: | Semilinear elliptic equations fixed point theorem Krasnoselskii |
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