108 citations · 419 across the 35 of their papers we have counts for
Showing 2015 · math.APShow all
3 papers · 2 filters
math.AP2015★ 1 cited
On polyharmonic regularizations of Hessian equations: Variational methods
Carlos Escudero
This work is devoted to the study of the boundary value problem \begin{eqnarray}\nonumber (-1)^αΔ^αu = (-1)^k S_k[u] + λf, \qquad x &\in& Ω\subset \mathbb{R}^N, \\ \nonumber u = \p…
math.AP2015
Existence results for a fourth order partial differential equation arising in condensed matter physics
Carlos Escudero, Filippo Gazzola, Robert Hakl +2
We study a higher order parabolic partial differential equation that arises in the context of condensed matter physics. It is a fourth order semilinear equation whose nonlinearity…
math.AP2015
Global existence versus blow-up results for a fourth order parabolic PDE involving the Hessian
Carlos Escudero, Filippo Gazzola, Ireneo Peral
We consider a partial differential equation that arises in the coarse-grained description of epitaxial growth processes. This is a parabolic equation whose evolution is governed by…