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Publications Influence

Harnack inequalities for double phase functionals

- P. Baroni, M. Colombo, G. Mingione
- Mathematics
- 1 July 2015

We prove a Harnack inequality for minimisers of a class of non-autonomous functionals with non-standard growth conditions. They are characterised by the fact that their energy density switches… Expand

130 10- PDF

Regularity for general functionals with double phase

- P. Baroni, M. Colombo, G. Mingione
- Mathematics
- 30 August 2017

We prove sharp regularity results for a general class of functionals of the type $$\begin{aligned} w \mapsto \int F(x, w, Dw) \, dx, \end{aligned}$$w↦∫F(x,w,Dw)dx,featuring non-standard growth… Expand

138 9- PDF

Lorentz estimates for degenerate and singular evolutionary systems

- P. Baroni
- Mathematics
- 1 November 2013

We prove estimates of Calderon–Zygmund type for evolutionary p-Laplacian systems in the setting of Lorentz spaces. We suppose the coefficients of the system to satisfy only a VMO condition with… Expand

44 7- PDF

Lorentz estimates for obstacle parabolic problems

- P. Baroni
- Physics, Mathematics
- 5 November 2013

We prove that the spatial gradient of (variational) solutions to parabolic obstacle problems of p-Laplacian type enjoys the same regularity of the data and of the derivatives of the obstacle in the… Expand

40 6- PDF

Non-autonomous functionals, borderline cases and related function classes

- P. Baroni, M. Colombo, G. Mingione
- Mathematics
- 2016

We consider a class of non-autonomous functionals characterised by the fact that the energy density changes its ellipticity and growth properties according to the point, and prove some regularity… Expand

139 3- PDF

A Mathematical Model for the Prediction of Solute Kinetics, Osmolarity and Fluid Volume Changes during Hemodiafiltration with On-Line Regeneration of Ultrafiltrate (HFR)

- M. Ursino, L. Colì, +4 authors S. Stefoni
- Chemistry, Medicine
- The International journal of artificial organs
- 1 November 2006

Hemodiafiltration with on-line regeneration of ultrafiltrate (HFR) is a technique indicated for the treatment of dialysis patients affected by inflammatory syndrome and malnutrition. In the present… Expand

19 2

Riesz potential estimates for a general class of quasilinear equations

- P. Baroni
- Mathematics
- 1 July 2015

We consider solutions to nonlinear elliptic equations with measure data and general growth and ellipticity conditions of degenerate type, as considered in Lieberman (Commun Partial Differ Equ… Expand

59 2- PDF

Tissue location of resistance in apple to the rosy apple aphid established by electrical penetration graphs

- E. Marchetti, S. Civolani, +4 authors P. Baroni
- Biology
- 2009

A study of the constitutive resistance of the apple cultivar Florina, Malus domestica Borkh. (Rosaceae), to the rosy apple aphid, Dysaphis plantaginea (Passerini) (Homoptera Aphididae), was performed… Expand

25 1- PDF

Calderón–Zygmund estimates for parabolic p(x,t)-Laplacian systems

- P. Baroni, Verena Bögelein
- Mathematics
- 15 December 2014

We prove local Calderon–Zygmund estimates for weak solutions of the evolutionary p(x,t)-Laplacian system
∂tu−div (a(x,t)|Du|p(x,t)−2Du)=div (|F|p(x,t)−2F)
under the classical hypothesis of… Expand

42 1- PDF

Marcinkiewicz estimates for degenerate parabolic equations with measure data

- P. Baroni
- Mathematics
- 1 November 2014

We consider solutions to degenerate parabolic equations with measurable coefficients, having on the right-hand side a measure satisfying a suitable density condition; we prove integrability results… Expand

20 1- PDF