15 citations · 39 across the 10 of their papers we have counts for
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Advancing fronts for the thin-film equation with null slip and repulsive potentials: the case of partial wetting
Riccardo Durastanti, Lorenzo Giacomelli
For negative values of the spreading coefficient (that is, in the so-called ``partial wetting'' regime), we prove that the thin-film equation with zero slip and repulsive potential…
Nonlinear asymptotic mean value characterizations of holomorphic functions
Riccardo Durastanti, Rolando Magnanini
Starting from a characterization of holomorphic functions in terms of a suitable mean value property, we build some nonlinear asymptotic characterizations for complex-valued soluti…
Thin-film equations with singular potentials: an alternative solution to the contact-line paradox
Riccardo Durastanti, Lorenzo Giacomelli
In the regime of lubrication approximation, we look at spreading phenomena under the action of singular potentials of the form as with , model…
Spreading equilibria under mildly singular potentials: pancakes versus droplets
Riccardo Durastanti, Lorenzo Giacomelli
We study global minimizers of a functional modeling the free energy of thin liquid layers over a solid substrate under the combined effect of surface, gravitational, and intermolec…
The Dirichlet problem for possibly singular elliptic equations with degenerate coercivity
Riccardo Durastanti, Francescantonio Oliva
We deal with existence, uniqueness and regularity of nonnegative solutions to a Dirichlet problem for equations as \begin{equation*} \displaystyle -\operatorname{div}\left(\frac{|\…
Shape programming of a magnetic elastica
Riccardo Durastanti, Lorenzo Giacomelli, Giuseppe Tomassetti
We consider a cantilever beam which possesses a possibly non-uniform permanent magnetization, and whose shape is controlled by an applied magnetic field. We model the beam as a pla…
Comparison principle for elliptic equations with mixed singular nonlinearities
Riccardo Durastanti, Francescantonio Oliva
We deal with existence and uniqueness of positive solutions of an elliptic boundary value problem modeled by \begin{equation*} \begin{cases} \displaystyle -Δ_p u= \frac{f}{u^γ} + g…
Asymptotic behavior and existence of solutions for singular elliptic equations
Riccardo Durastanti
We study the asymptotic behavior, as tends to infinity, of solutions for the homogeneous Dirichlet problem associated to singular semilinear elliptic equations whose model is $…
Regularizing effect for some p-Laplacian systems
Riccardo Durastanti
We study existence and regularity of weak solutions for the following -Laplacian system \begin{cases} -Δ_p u+Aφ^{θ+1}|u|^{r-2}u=f, \ &u\in W_0^{1,p}(Ω),\\-Δ_p φ=|u|^rφ^θ, \ &φ\i…
Existence and uniqueness results for possibly singular nonlinear elliptic equations with measure data
Linda Maria De Cave, Riccardo Durastanti, Francescantonio Oliva
We study existence and uniqueness of solutions to a nonlinear elliptic boundary value problem with a general, and possibly singular, lower order term, whose model is $$\begin{cases…