Let D be a bounded domain in R^n. Show that the problem ∆v−v^3 =0 in D; v=0 on ∂D has no solution other than v ≡ 0.
I am thinking I need to prove it to be harmonic in order to apply Green's or something, but I cannot seem to do that.
2026-03-28 08:47:55.1774687675
Is this function identically zero??
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