19 citations · 61 across the 21 of their papers we have counts for
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Smoothing effect and uniqueness for aggregation diffusion models
Stefano Lisini, Edoardo Mainini
We consider aggregation-diffusion models for a density of mass in , , where the diffusion can be either linear or of porous medium type, while the aggregation…
On fractional critical problems with multi-polar Hardy potentials
Edoardo Mainini, Debangana Mukherjee, Roberto Ognibene
We investigate the existence of positive solutions to fractional equations presenting a double criticality: a multi-polar Hardy-type potential and a Sobolev critical nonlinearity.…
Equilibria of aggregation-diffusion models with nonlinear potentials
Francesco Bozzola, Edoardo Mainini
We consider an evolution model with nonlinear diffusion of porous medium type in competition with a nonlocal drift term favoring mass aggregation. The distinguishing trait of the m…
Local multiplicity for fractional linear equations with Hardy potentials
Edoardo Mainini, Roberto Ognibene, Bruno Volzone
We exhibit existence of non-trivial solutions of some fractional linear Schrödinger equations which are radial and vanish at the origin. This is in stark contrast to what happens i…
Linearization of finite elasticity with surface tension
Martin Kružík, Edoardo Mainini
We propose models in nonlinear elasticity for nonsimple materials that include surface energy terms. Additionally, we also discuss living surface loads on the boundary. We establis…
On the weighted inertia-energy approach to forced wave equations
Edoardo Mainini, Danilo Percivale
We show convergence of minimizers of weighted inertia-energy functionals to solutions of initial value problems for a class of nonlinear wave equations. The result is given for the…