4 citations · 8 across the 7 of their papers we have counts for
9 papers
Existence and uniqueness of solutions to some anisotropic elliptic equations with a singular convection term
Giuseppina di Blasio, Filomena Feo, Gabriella Zecca
We prove the existence and uniqueness of weak solutions to a class of anisotropic elliptic equations with coefficients of convection term belonging to some suitable Marcinkiewicz s…
Nonlinear evolution problems with singular coefficients in the lower order terms
Fernando Farroni, Luigi Greco, Gioconda Moscariello +1
We consider a Cauchy Dirichlet problem for a quasilinear second order parabolic equation with lower order term driven by a singular coefficient. We establish an existence result to…
Regularity results for local solutions to some anisotropic elliptic equations
Giuseppina di Blasio, Filomena Feo, Gabriella Zecca
In this paper we study a class of anisotropic equations with a lower order term whose coefficients lay in Marcinkiewicz spaces. We prove some regularity results for local solutions…
Noncoercive quasilinear elliptic operators with singular lower order terms
Fernando Farroni, Luigi Greco, Gioconda Moscariello +1
We consider a family of quasilinear second order elliptic differential operators which are not coercive and are defined by functions in Marcinkiewicz spaces. We prove the existence…
A multi-species chemotaxis system: Lyapunov functionals, duality, critical mass
Nikos I. Kavallaris, Tonia Ricciardi, Gabriella Zecca
We introduce a multi-species chemotaxis type system admitting an arbitrarily large number of population species, all of which are attracted vs. repelled by a single chemical substa…
Minimal blow-up masses and existence of solutions for an asymmetric sinh-Poisson equation
Tonia Ricciardi, Gabriella Zecca
For a sinh-Poisson type problem with asymmetric exponents of interest in hydrodynamic turbulence, we establish the optimal lower bounds for the blow-up masses. We apply this result…
On the existence and blow-up of solutions for a mean field equation with variable intensities
Tonia Ricciardi, Ryo Takahashi, Gabriella Zecca +1
We study an elliptic problem with exponential nonlinearities describing the statistical mechanics equilibrium of point vortices with variable intensities. For suitable values of th…
Mass quantization and minimax solutions for Neri's mean field equation in 2D-turbulence
Tonia Ricciardi, Gabriella Zecca
We study the mean field equation derived by Neri in the context of the statistical mechanics description of 2D-turbulence, under a "stochastic" assumption on the vortex circulation…
Blow-up analysis for some mean field equations involving probability measures from statistical hydrodynamics
Tonia Ricciardi, Gabriella Zecca
Motivated by the mean field equations with probability measure derived by Sawada-Suzuki and by Neri in the context of the statistical mechanics description of two-dimensional turbu…