108 citations · 419 across the 35 of their papers we have counts for
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math.CA2013★ 18 cited
Existence and nonexistence results for a singular boundary value problem arising in the theory of epitaxial growth
Carlos Escudero, Robert Hakl, Ireneo Peral +1
The existence of stationary radial solutions to a partial differential equation arising in the theory of epitaxial growth is studied. Our results depend on the size of a parameter…
math.CA2013
On radial stationary solutions to a model of nonequilibrium growth
Carlos Escudero, Robert Hakl, Ireneo Peral +1
We present the formal geometric derivation of a nonequilibrium growth model that takes the form of a parabolic partial differential equation. Subsequently, we study its stationary…
math.AP2013
Some fourth order nonlinear elliptic problems related to epitaxial growth
Carlos Escudero, Ireneo Peral
This paper deals with some mathematical models arising in the theory of epitaxial growth of crystal. We focalize the study on a stationary problem which presents some analytical di…