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Podolak [4], gives the exact number of solutions for the problem \\[ \\Delta u+g(u)= \\mu \\phi _1(x)+e(x) \\;\\; \\mbox{in $D$} , \\;\\; u=0 \\;\\; \\mbox{on $\\partial D$} \\,, \\] depending on the real parameter $\\mu$, for a class of convex $g(u)$, and $\\int _D e(x) \\phi _1(x)\\, dx=0$ (where $\\phi _1(x)>0$ is the principal eigenfunction of the Laplacian on $D$, and $D \\subset R^n$ is a smooth domain). 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