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Positivity and anti-maximum principles for elliptic operators with mixed boundary conditions

Positivity and anti-maximum principles for elliptic operators with mixed boundary conditions

We consider linear elliptic equationsu + q(x)u = λu + f in bounded Lipschitz domains D ⊂ R N with mixed boundary conditions ∂u/∂n = σ (x)λu + g on ∂D.The main feature of this boundary value problem is the appearance of λ both in the equation and in the …