EUDML | Log-concavity in some parabolic problems.

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Displaying similar documents to “Log-concavity in some parabolic problems.”

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The objective of our note is to prove that, at least for a convex domain, the ground state of the p-Laplacian operator Δ_pu = div (|∇u|^p-2 ∇u) is a superharmonic function, provided that 2 ≤ p ≤ ∞. The ground state of Δ_p is the positive solution with boundary values zero of the equation div(|∇u|^p-2 ∇u) + λ |u|^p-2 u = 0 in the bounded domain...

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