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math.AP2003
Semilinear Elliptic Equations and Fixed Points
Cleon S. Barroso
In this paper, we deal with a class of semilinear elliptic equation in a bounded domain , , with $C\sp{1,1}$ boundary. Using a new fixed point result…
math.FA2003
Measures of Weak Compactness and Fixed Point Theory
Cleon S. Barroso, Donal O'Regan
In this paper, we study a class of Banach spaces, called ϕ-spaces. In a natural way, we associate a measure of weak compactness in such spaces and prove an analogue of Sadovskii fi…