Semilinear Elliptic Equations and Fixed Points
Cleon S. Barroso
Abstract
In this paper, we deal with a class of semilinear elliptic equation in a bounded domain Ω⊂RN, N≥ 3, with C1,1 boundary. Using a new fixed point result of the Krasnoselskii's 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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