22 citations · 64 across the 16 of their papers we have counts for
24 papers
Bound states of Schrödinger-Poisson system in electromagnetic fields
Pingkang Guan, Baihong Li, Dimitri Mugnai +1
This paper investigates the Schrödinger-Poisson system involving electromagnetic fields. Our approach is mainly based on the variational method. By developing the global compactnes…
Stabilization for degenerate equations with drift and small singular term
Genni Fragnelli, Dimitri Mugnai, Amine Sbai
We consider a degenerate/singular wave equation in one dimension, with drift and in presence of a leading operator which is not in divergence form. We impose a homogeneous Dirichle…
Boundary controllability for degenerate/singular hyperbolic equations in nondivergence form with drift
Genni Fragnelli, Dimitri Mugnai, Amine Sbai
We study the null controllability for a degenerate/singular wave equation with drift in non divergence form. In particular, considering a control localized on the non degenerate bo…
An Ahmad-Lazer-Paul-type result for indefinite mixed local-nonlocal problems
Gianmarco Giovannardi, Dimitri Mugnai, Eugenio Vecchi
We prove the existence and multiplicity of weak solutions for a mixed local-nonlocal problem at resonance. In particular, we consider a not necessarily positive operator which appe…
Linear stabilization for a degenerate wave equation in non divergence form with drift
Genni Fragnelli, Dimitri Mugnai
We consider a degenerate wave equation in one dimension, with drift and in presence of a leading operator which is not in divergence form. We impose a homogeneous Dirichlet boundar…
Variational methods for nonpositive mixed local-nonlocal operators
Alberto Maione, Dimitri Mugnai, Eugenio Vecchi
We prove the existence of a weak solution for boundary value problems driven by a mixed local--nonlocal operator. The main novelty is that such an operator is allowed to be nonposi…
Optimal solvability for the fractional p-Laplacian with Dirichlet conditions
Antonio Iannizzotto, Dimitri Mugnai
We study a nonlinear, nonlocal Dirichlet problem driven by the fractional p-Laplacian, involving a (p-1)-sublinear reaction. By means of a weak comparison principle we prove unique…
Boundary controllability for a degenerate wave equation in non divergence form with drift
Idriss Boutaayamou, Genni Fragnelli, Dimitri Mugnai
We consider a degenerate wave equation with drift in presence of a leading operator which is not in divergence form. We provide some conditions for the boundary controllability of…
A Brezis-Oswald approach for mixed local and nonlocal operators
Stefano Biagi, Dimitri Mugnai, Eugenio Vecchi
In this paper we provide necessary and sufficient conditions for the existence of a unique positive weak solution for some sublinear Dirichlet problems driven by the sum of a quasi…
Linking over cones for the Neumann Fractional Laplacian
Dimitri Mugnai, Edoardo Proietti Lippi
We consider nonlinear problems governed by the fractional Laplacian in presence of nonlocal Neumann boundary conditions. We face two problems. First: the superlinear term m…
Quasilinear problems without the Ambrosetti-Rabinowitz condition
Anna Maria Candela, Genni Fragnelli, Dimitri Mugnai
We show the existence of nontrivial solutions for a class of highly quasilinear problems in which the governing operators depend on the unknown function. By using a suitable variat…
Neumann fractional Laplacian: eigenvalues and existence results
Dimitri Mugnai, Edoardo Proietti Lippi
We develop some properties of the Neumann derivative for the fractional Laplacian in bounded domains with general . In particular, we prove the existence of a divergin…
Existence and multiplicity results for the fractional Laplacian in bounded domains
Dimitri Mugnai, Dayana Pagliardini
In this paper, first we study existence results for a linearly perturbed elliptic problem driven by the fractional Laplacian. Then, we show a multiplicity result when the perturbat…
The fractional Hartree equation without the Ambrosetti-Rabinowitz condition
Mauro Francesconi, Dimitri Mugnai
We consider a class of pseudo-relativistic Hartree equations in presence of general nonlinearities not satisfying the Ambrosetti-Rabinowitz condition. Using variational methods bas…
On multiple solutions for nonlocal fractional problems via -theorems
Giovanni Molica Bisci, Dimitri Mugnai, Raffaella Servadei
The aim of this paper is to prove multiplicity of solutions for nonlocal fractional equations modeled by $$ \left\{ \begin{array}{ll} (-Δ)^s u-λu=f(x,u) & {\mbox{ in }} Ω\\ u=0 & {…
Carleman estimates, observability inequalities and null controllability for interior degenerate non smooth parabolic equations
Genni Fragnelli, Dimitri Mugnai
We show Carleman estimates, observability inequalities and null controllability results for parabolic equations with non smooth coefficients degenerating at an interior point.
Carleman estimates for singular parabolic equations with interior degeneracy and non smooth coefficients
Genni Fragnelli, Dimitri Mugnai
We establish Carleman estimates for singular/degenerate parabolic Dirichlet problems with degeneracy and singularity occurring in the interior of the spatial domain. Our results ar…
A fractional eigenvalue problem in
Giacomo Bocerani, Dimitri Mugnai
We prove that a linear fractional operator with an asymptotically constant lower order term in the whole space admits eigenvalues.
Three solutions for a Neumann partial differential inclusion via nonsmooth Morse theory
Francesca Colasuonno, Antonio Iannizzotto, Dimitri Mugnai
We study a partial differential inclusion, driven by the p-Laplacian operator, involving a p-superlinear nonsmooth potential, and subject to Neumann boundary conditions. By means o…
Non-trivial, non-negative periodic solutions of a system of singular-degenerate parabolic equations with nonlocal terms
Genni Fragnelli, Dimitri Mugnai, Paolo Nistri +1
We study the existence of non-trivial, non-negative periodic solutions for systems of singular-degenerate parabolic equations with nonlocal terms and satisfying Dirichlet boundary…
Carleman estimates and observability inequalities for parabolic equations with interior degeneracy
Genni Fragnelli, Dimitri Mugnai
We consider a parabolic problem with degeneracy in the interior of the spatial domain, and we focus on controllability results through Carleman estimates for the associated adjoint…
The pseudorelativistic Hartree equation with a general nonlinearity: existence, non existence and variational identities
Dimitri Mugnai
We prove several existence and non existence results of solitary waves for a class of nonlinear pseudo-relativistic Hartree equations with general nonlinearities. We use variationa…
Spinning Q-balls in Abelian Gauge Theories with positive potentials: existence and non existence
Dimitri Mugnai, Matteo Rinaldi
We study the existence of cylindrically symmetric electro-magneto-static solitary waves for a system of a nonlinear Klein-Gordon equation coupled with Maxwell's equations in presen…
On the exact number of bifurcation branches from a multiple eigenvalue
Dimitri Mugnai, Angela Pistoia
We study local bifurcation from an eigenvalue with multiplicity greater than one for a class of semilinear elliptic equations. We evaluate the exact number of bifurcation branches…