H. Grunau

most citedSupercritical biharmonic equations with power-type nonlinearity

31 citations · 31 across the 2 of their papers we have counts for

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math.AP2007★ 31 cited

Supercritical biharmonic equations with power-type nonlinearity

Alberto Ferrero, Hans-Christoph Grunau, Paschalis Karageorgis

The biharmonic supercritical equation $Δ^{2} u = ∣ u ∣^{p - 1} u$ , where $n > 4$ and $p > (n + 4) / (n - 4)$ , is studied in the whole space $R^{n}$ as well as in a modified form with $λ (1 + u)^{p}$ …

math.AP2007

Positivity and almost positivity of biharmonic Green's functions under Dirichlet boundary conditions

Hans-Christoph Grunau, Frédéric Robert

In general, for higher order elliptic equations and boundary value problems like the biharmonic equation and the linear clamped plate boundary value problem neither a maximum princ…