Question: Let uH (R) have compact support and be a weak solution of the semi linear PDE -Au+ c(u) = f in R, where fR and

Let uH (R") have compact support and be a weak solution of the semi linear PDE -Au+ c(u) = f in R", where fR" and c: RR is smooth, with c(0) = 0 and 0. Prove that u H (R")

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