19 citations · 61 across the 21 of their papers we have counts for
30 papers
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…
Limit of nonlinear Signorini problems for incompressible materials
Edoardo Mainini, Danilo Percivale, Robertus van der Putten
The paper is devoted to the linearization of the non linear Signorini functional in the incompressible case. The limit functional, in the sense of Gamma-convergence, may coincide w…
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…