18 citations · 32 across the 16 of their papers we have counts for
18 papers
Existence and local asymptotics for a system of cross-diffusion equations with nonlocal Cahn-Hilliard terms
Elisa Davoli, Greta Marino, Jan-Frederik Pietschmann
We study a nonlocal Cahn-Hilliard model for a multicomponent mixture with cross-diffusion effects and degenerate mobility. The nonlocality is described by means of a symmetric sing…
Stationary solutions and large time asymptotics to a cross-diffusion-Cahn-Hilliard system
Jean Cauvin-Vila, Virginie Ehrlacher, Greta Marino +1
We study some properties of a multi-species degenerate Ginzburg-Landau energy and its relation to a cross-diffusion Cahn-Hilliard system. The model is motivated by multicomponent m…
Lipschitz regularity for solutions of a general class of elliptic equations
Greta Marino, Sunra Mosconi
We prove local Lipschitz regularity for local minimiser of \[ W^{1,1}(Ω)\ni v\mapsto \int_ΩF(Dv)\, dx \] where , and $F:{\mathbb R}^N\to {\mathbb…
A free boundary model for transport induced neurite growth
Greta Marino, Jan-Frederik Pietschmann, Max Winkler
We introduce a free boundary model to example the effect of vesicle transport onto neurite growth. It consists of systems of drift-diffusion equations describing the evolution of t…
Boundedness of solutions to Dirichlet, Neumann and Robin problems for elliptic equations in Orlicz spaces
Giuseppina Barletta, Andrea Cianchi, Greta Marino
Boundary value problems for second-order elliptic equations in divergence form, whose nonlinearity is governed by a convex function of non-necessarily power type, are considered. T…
Multiple solutions for nonlinear boundary value problems of Kirchhoff type on a double phase setting
Alessio Fiscella, Greta Marino, Andrea Pinamonti +1
This paper deals with some classes of Kirchhoff type problems on a double phase setting and with nonlinear boundary conditions. Under general assumptions, we provide multiplicity r…
Uncertainty Analysis for Drift-Diffusion Equations
Greta Marino, Jan-Frederik Pietschmann, Alois Pichler
We study evolution equations of drift-diffusion type when various parameters are random. Motivated by applications in pedestrian dynamics, we focus on the case when the total mass…
Existence results for double phase problems depending on Robin and Steklov eigenvalues for the -Laplacian
Said El Manouni, Greta Marino, Patrick Winkert
In this paper we study double phase problems with nonlinear boundary condition and gradient dependence. Under quite general assumptions we prove existence results for such problems…
Existence of weak solutions to a cross-diffusion Cahn-Hilliard type system
Virginie Ehrlacher, Greta Marino, Jan-Frederik Pietschmann
The aim of this article is to study a Cahn-Hilliard model for a multicomponent mixture with cross-diffusion effects, degenerate mobility and where only one of the species does sepa…
Existence and uniqueness of elliptic systems with double phase operators and convection terms
Greta Marino, Patrick Winkert
In this paper we study quasilinear elliptic systems driven by so-called double phase operators and nonlinear right-hand sides depending on the gradients of the solutions. Based on…
-bounds for general singular elliptic equations with convection term
Greta Marino, Patrick Winkert
In this note we present -results for problems of the form in , in , on , where the growth condition for the function $B…
Existence and -estimates for elliptic equations involving convolution
Greta Marino, Dumitru Motreanu
In this paper, with a fixed and a bounded domain whose boundary fulfills the regularity, we study a boundary value prob…
Global a priori bounds for weak solutions of quasilinear elliptic systems with nonlinear boundary condition
Greta Marino, Patrick Winkert
In this paper we study quasilinear elliptic systems with nonlinear boundary condition with fully coupled perturbations even on the boundary. Under very general assumptions our main…
On a Dirichlet problem with -Laplacian and parametric concave-convex nonlinearity
Salvatore A. Marano, Greta Marino, Nikolaos S. Papageorgiou
A homogeneous Dirichlet problem with -Laplace differential operator and reaction given by a parametric -convex term plus a -concave one is investigated. A bifurcation-…
Singular quasilinear elliptic systems in
S. A. Marano, G. Marino, A. Moussaoui
The existence of positive weak solutions to a singular quasilinear elliptic system in the whole space is established via suitable a priori estimates and Schauder's fixed point theo…
Implicit equations involving the -Laplace operator
Greta Marino, Andrea Paratore
In this work we study the existence of solutions to the implicit elliptic problem in , where is a bounded domain in $ \…
Moser iteration applied to elliptic equations with critical growth on the boundary
Greta Marino, Patrick Winkert
This paper deals with boundedness results for weak solutions of an elliptic equation where the functions are Carathéodory functions satisfying certain -structure conditions that…
Existence and asymptotic behavior of nontrivial solutions to the Swift-Hohenberg equation
Greta Marino, Sunra Mosconi
In this paper, we discuss several results regarding existence, non-existence and asymptotic properties of solutions to , under various hypotheses on the parameter $…