Question: so thats what this is telling us ? Theorem 5.22 (Existence and Uniqueness for Nonlinear Dirichlet Problem) The equation Vu = -h(x,u(x)) for xEV, where

so thats what this is telling us ?

Theorem 5.22 (Existence and Uniqueness for Nonlinear Dirichlet Problem) The equation Vu = -h(x,u(x)) for xEV, where Vis a three-dimensional region bounded by a closed surface S, has exactly one square-integrable solution satisfying u = 0 on S, provided that

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