Strong solutions to the class of semilinear elliptic equations f(x, \cdot)$ are obtained by mainly using fixed points arguments. The case of discontinuous non-linearities is then examined.
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Salvatore A. Marano, Existence Results for the Equation . Z. Anal. Anwend. 19 (2000), no. 2, pp. 575–582DOI 10.4171/ZAA/969