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Elenco delle più recenti pubblicazioni
F.Ragnedda, S.Vernier Piro, V.Vespri, "The asymptotic profile of solutions of a class of singular parabolic equations. "
(Progress in Nonlinear Differential Equations and Their Applications, Vol.60, 577-589 (2011) Springel Basel AG)
M.Marras, S. Vernier - Piro, "Bounds for blow-up time in nonlinear parabolic system"
(accettato dai Proceedings di AIMS (2011)).
F.Ragnedda, S.Vernier Piro, V.Vespri, "Large time behaviour of solutions to a class of non-autonomous
degenerate parabolic equations. "
(Math Annalen, (2010) DOI: 10.1007/s00208-010-0496-4.)
L.E.Payne, G.Philippin, S. Vernier Piro, " Blow-up phenomena for a semilinear heat equation with nonlinear boundary condition, II "
(Nonlinear Analysis 73 (2010), pp. 971-978).
L.E.Payne, G.Philippin, S. Vernier Piro, " Blow-up phenomena for a semilinear heat equation with nonlinear boundary condition, I "
(Z. Angew. Math. Phys., 61, 999-1007, (2010)).
M.Marras, S. Vernier - Piro, "Continuous dependence results for parabolic problems under Robin boundary conditions"
(Numer. Funct. Anal. Optim. 20 (2009), no. 1-2, 121- 135).
F.Ragnedda, S.Vernier Piro, V.Vespri, " Asymptotic time behaviour for non-autonomous
degenerate parabolic problems with forcing term."
(Nonlinear Analysis 71 (2009) e2316 - e2321).
G. Philippin, V. Proytcheva, S. Vernier-Piro "Continous dependance result for a class of nonlinear heat equations in a cylindrical region"
(Math. Meth. Appl. Sci.,2009, Vol.32, pp330-345).
S. Vernier - Piro, "Qualitative properties for solutions of reaction-diffusion parabolic systems and
their gradients"
(Nonlinear Analysis, 68, (2008), 1775-1783).
M. Marras - S. Vernier - Piro, "Exponential decay bounds for nonlinear heat problems with Robin boundary conditions"
(Zeitschrift fur Angew. Math.Phys, 59, n°5, (2008), 766-779) .
M. Marras - S. Vernier - Piro, "Blow up and decay bounds in quasilinear parabolic problems"
(Discrete and continuous dynamical systems, vol.suppl.(2007), 704-712)
M. Marras - S. Vernier - Piro, "Maximum principles and decay estimates for parabolic systems under Robin
Boundary conditions"
(Conf. on Differential & Difference Equations and Appl., Hindawi Publ. Corp., (2006) 767-773 ).
L.E. Payne - G. Philippin- S. Vernier - Piro, "Decay bounds for solutions of
second order parabolic problems and their derivatives IV"
(Applicable Analysis, vol. 85, n. 1-3 (2006) 293-302).
L.E. Payne - G. Philippin- S. Vernier - Piro, "Blow-up, decay bounds and continuous dependence inequalities
for a class of quasilinear parabolic problems", (Math. Meth. Appl. Sci.,29 (2006) 281-295).
S. Vernier - Piro, "Some decay results for solutions of parabolic problems"
(Le Matematiche, vol.LX, (2005), 457-462).
M. Marras - S. Vernier - Piro, "Upper and lower solutions for quasilinear
parabolic boundary value problems"
(Zeitschrift fur Angew. Math.Phys,56, (2005), 1-15).
G. Porru, A. Safoui, S. Vernier - Piro, "Best Possible Maximum principles for fully nonlinear elliptic partial differential equations"
"(Z. Anal. Anwend. 25 (2006), no. 4, 421-434).
S. Vernier - Piro, "Applications of "Best Possible Maximum principles" to parabolic problems in non convex domains" (Dynamic Systems Applications, vol. 4 (2004), 245-250) .
C. Bandle, S. Vernier-Piro, "Estimates for solution of quasilinear problems with dead cores"
(Z. Angew. Math. Phys., vol.54, no. 5, (2003), 815-821).
C. Van der Mee, S. Vernier-Piro, "Traveling Waves for Solid-gas Reaction - diffusion Systems"
(Discrete and Continuous Dynamical Systems, suppl. vol. "Dynamical Systems and Differential Equations " (2003), 872-879).
C.Van der Mee, S.Vernier-Piro, "Dead cores for parabolic reaction diffusion
problems"
(Dynamics of Continuous, Discrete and Impulsive Systems, serie A: Math. Analysis (2003), 10, 139-147).
M. Marras, S. Vernier-Piro, "Sharp upper and lower solutions in some parabolic problems"
(N. Funct. Anal. Optim. 23 (2002), no. 3, 483-495).
G. Philippin- S. Vernier - Piro, "Comparison results for solutions of
reaction diffusion
problems" (Glasg. Math. J. 44 (2002), no 5-6, 609-621).
C.Van der Mee, S.Vernier-Piro, "Dead cores for time dependent reaction
diffusion equations" (Nonlinear Analysis, 47, (2001), 2113-2123).
G.Philippin- S. Vernier-Piro, "Decay estimates for solutions of a class
of parabolic problems arising in filtration in porous media" (Boll. Unione
Matem. Ital. (8) 4 (2001), 473-481).
I. Stakgold, C. Van der Mee, S. Vernier-Piro, "Traveling waves for gas-solid
reactions in porous medium with porosity change" (Dynam. Systems
Appl. 10, (2001) no 4, 589-598).
G.Philippin- S.Vernier-Piro, "Applications of the maximum principles to
a variety of problems involving elliptic and parabolic equations" (Nonlinear
Analysis, 47, (2001), 661-679).
G. Philippin- S. Vernier - Piro, "Decay estimates for solutions of various
parabolic problems" (Mat. Contemp. 19, (2000), 89-103).
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