LIST OF PUBLICATIONS

 

TONIA RICCIARDI

 

Last updated: May 2017

Articles on journals:

34) A. Pistoia and T. Ricciardi, Sign-changing tower of bubbles for a sinh-Poisson equation with asymmetric exponents, to appear on Discr. Cont. Dyn. Systems, arXiv:1606.07724

 

33) F. De Marchis and T. Ricciardi, Existence of stationary turbulent flows with variable positive vortex intensity, to appear on Nonlin. Anal. Real World Analysis, arXiv:1607.07051

 

32) T. Ricciardi and G. Zecca, Minimal blow-up masses and existence of solutions for an asymmetric sinh-Poisson equation , to appear on Mathematische Nachrichten, arXiv:1605.05895

 

31) G. Pisante and T. Ricciardi, Sign-changing two-peak solutions for an elliptic free boundary problem related to confined plasmas, to appear on Adv. Nonlin. Anal. DOI:10.1515/anona-2016-0029.

30) T. Ricciardi and R. Takahashi, Blow-up behavior for a degenerate elliptic sinh -Poisson equation with variable intensities, Calc. Var. Partial Diff. Equations 55 (6).DOI:10.1007/s00526-016-1090-8.

29) T. Ricciardi, R. Takahashi, G. Zecca and X. Zhang, On the existence and blow-up of solutions for a mean field equation with variable intensities, Atti Ac. Naz. Lincei Rend. Lincei Mat. , 27 No. 4 (2016), 413-429 DOI10.4171/RLM/741.

28) A. Pistoia and T. Ricciardi, Concentrating solutions for a Liouville type equation with variable intensities in 2D-turbulence, Nonlinearity 29 (2016), 271-297. DOI:10.1088/0951-7715/29/2/271.

27) T. Ricciardi and G. Zecca, On the blowup of solutions to Liouville type equations, Adv. Nonlin. Stud. 16 No. 1 (2016), 75-85. DOI:10.1515/ans-2015-5015.

26)   T. Ricciardi and G. Zecca, Mass quantization and minimax solutions for Neri's    mean field equation in 2D-turbulence, J. Differential Equations 260 no. 1 (2016), 339-369. DOI:dx.doi.org/10.1016/j.jde.2015.08.045.

25)

 

T. Ricciardi and G. Zecca, On Neri’s mean field equation with hyperbolic sine vorticity distribution, to appear on Scientiae Mathematicae Japonicae

 

24)

 

T. Ricciardi and T. Suzuki, Duality and best constant for a Moser-Trudinger inequality involving probability measures, Jour. European Math. Soc. 16 (2014), 1327-1348.  DOI:10.4171/JEMS/462

23)

 

T. Ricciardi and G. Zecca, On the continuity of solutions to degenerate elliptic equations in two dimensions. Potential Analysis  37 No. 2 (2012), 171-185.

DOI 10.1007/s11118-011-9250-0.

22)

 

T. Ricciardi and G. Zecca, Blow-up analysis for some mean field equations involving probability measures from statistical hydrodynamics. Differential Integral Equations 25, No. 3-4 (2012), 201-222.

21)

 

H. Ohtsuka, T. Ricciardi and T. Suzuki, Blow-up analysis for an elliptic equation describing stationary vortex flows with variable intensities in 2D-turbulence. J. Differential Equations 249 (2010) 1436-1465. pdf

20)

 

G. Karali and T. Ricciardi, On the convergence of a fourth order evolution equation to the Allen-Cahn equation. Nonlin. Anal. TMA 72 (2010) 4271-4281. pdf

19)

 

F. Farroni, R. Giova and T. Ricciardi, Best constant and extremals for a vector Poincaré inequality with weights. Scientiae Math. Japonicae 71, No. 2 (2010), 111-126; e-2010 53-68. pdf

18)

 

R. Giova and T. Ricciardi, A sharp Wirtinger inequality and some related functional spaces. Bull. Belgian Math. Soc. Simon Stevin. 17 (2010), 1-10. pdf

17)

 

F. Chiacchio and T. Ricciardi, Some sharp Hardy inequalities on spherically symmetric domains. Pac. J. Math. 242 No. 1 (2009), 173-187. pdf

16)

 

T. Ricciardi, On the best Hölder exponent for two dimensional elliptic equations in divergence form, Proc. Amer. Math. Soc. 136 No. 8 (2008), 2771-2783. pdf

15)

 

T. Ricciardi, On planar Beltrami equations and Hölder regularity, Ann. Acad. Sci. Fenn. Math. 33 (2008), 143-158. pdf

14)

 

F. Chiacchio and T. Ricciardi, Multiplicity for a self-dual CP(1) Maxwell-Chern-Simons model, NoDEA Nonlinear differ. equ. appl. 13 (2007) 563-584. pdf

 

13)

 

T. Ricciardi, Mountain pass solutions for a mean field equation from two-dimensional turbulence, Diff. Int. Eqs. 20 No. 5 (2007), 561-575. Submitted by T. Suzuki. pdf

 

12)

 

M. Macrì, M. Nolasco and T. Ricciardi, Asymptotics for selfdual vortices on the torus and on the plane: a gluing technique, SIAM Jour. Math. Anal., 37 No. 1 (2005), 1-16. pdf ; preprint version pdf

 

11)

 

T. Ricciardi, A sharp weighted Wirtinger inequality, Boll. U.M.I. (8) 8-B (2005), 259-267. pdf

 

10)

 

T. Ricciardi, A sharp Hölder estimate for elliptic equations in two variables, Proc. Roy. Soc. Edinburgh 135A (2005), 165-173. pdf

 

9)

 

T. Ricciardi, Multiplicity for a nonlinear fourth order elliptic equation in Maxwell-Chern-Simons vortex theory, Diff. Int. Eqs. 17 Nos. 3-4 (2004), 369-390. Submitted by H. Brezis. pdf

 

8)

 

T. Ricciardi, On a nonlinear elliptic system from Maxwell-Chern-Simons vortex theory, Asympt. Anal. 35 No. 2 (2003), 113—126. pdf

 

7)

 

Y.Y. Li and T. Ricciardi, A sharp Sobolev inequality on Riemannian manifolds, Comm. Pure Appl. Anal. 2 No. 1 (2003), 1—31. pdf
Summary in C. R. Math. Acad. Sci.
Paris, Ser. I 335 (2002), 519—524 pdf .

 

6)

 

T. Ricciardi, Asymptotics for Maxwell-Chern-Simons multivortices, Nonlin. Anal. TMA 50 No. 8 (2002), 1093—1106. pdf

 

5)

 

T. Ricciardi  and G. Tarantello, Vortices in the Maxwell-Chern-Simons theory, Comm. Pure Appl. Math. 53 No. 7 (2000), 811—851. pdf

 

4)

 

T. Ricciardi and G. Tarantello, On a periodic boundary value problem with exponential nonlinearities, Diff. Int. Eqs. 11 No. 5 (1998), 745—753. pdf

 

3)

 

G. Karch and T. Ricciardi, Note on Lorentz Spaces and Differentiability of Weak Solutions to Elliptic Equations, Bull. Pol. Ac.: Math. 48, No. 1 (1997), 111—116. pdf

 

2)

 

A. Alberico and T. Ricciardi, Continuity properties for linear elliptic equations with lower-order terms, Rend. Ac. Sci. Fis. Mat. Napoli, LXIII (1996), 7—16. pdf

 

1)

 

T. Ricciardi, A limit case for a nonlinear elliptic Dirichlet problem, Rend. Ac. Sci. Fis. Mat. Napoli, LXI (1994), 1-8.

 

 



Submitted preprints:

 

N. Kavallaris, T. Ricciardi and G. Zecca, A multi-species chemotaxis system: Lyapunov functionals, duality, critical mass, , arXiv:1703.01636.

 

 

 

Proceedings:

P8

T. Ricciardi, Blow-up analysis and optimal Trudinger-Moser inequalities for some mean field equations in statistical hydrodynamics, Modern approach and developments to Onsager’s theory on statistical vortices, Sūrikaisekikenkyūshō Kōkyūroku  No. 1798 (2012), 188-197.

 

P7)

G. Karali and T. Ricciardi, Existence and asymptotics for a Cahn-Hilliard/Allen-Cahn parabolic equation,  Problems in the calculus of variations and Related Topics, Research Institute for Mathematical Sciences, Kyoto University, 23-25 June 2008. Sūrikaisekikenkyūshō Kōkyūroku No. 1628 (2008), 87-100.

P6)

T. Ricciardi, A remark on the mean field equation for equilibrium vortices with arbitrary sign, Variational Problems and Related Topics, Research Institute for Mathematical Sciences, Kyoto University, 19-21 June 2007. Sūrikaisekikenkyūshō Kōkyūroku  No. 1591 (2008), 159-163. pdf

P5)

T. Ricciardi, Some sharp Hölder estimates for two-dimensional elliptic equations, Variational Analysis and Partial Differential Equations, International Centre for Scientific Culture "E. Majorana", Erice (TP), 5-14 July 2006. J. Glob. Optim. 40 (2008), 399-403.

pdf

P4)

T. Ricciardi, Sharp Hölder exponent for some elliptic equations in two variables, The Renato Caccioppoli Centenary Conference, Naples, 23-25 September 2004. Ricerche Mat. Vol. LIV, fasc. 2˚ (2005), 649-654. pdf

P3)

T. Ricciardi, Some nonlinear elliptic problems from Maxwell-Chern-Simons vortex theory, Dynamics of Patterns in Reaction-Diffusion Systems and the Related Topics, Research Institute for Mathematical Sciences, Kyoto University, 25-28 November 2002. Sūrikaisekikenkyūshō Kōkyūroku No. 1130 (2003), 124-133. pdf

P2)

T. Ricciardi, Asymptotics for some nonlinear systems in Maxwell-Chern-Simons vortex theory, Topological Methods, Variational Methods and their Applications, H. Brezis, K.C. Chang, S.J. Li and P. Rabinowitz eds., Proceedings of The ICM 2002 Satellite Conference on Nonlinear Functional Analysis, Taiyuan, P.R. China, 14-18 August 2002, World Scientific 2003, 201-209. pdf

P1)

T. Ricciardi, Sharp Sobolev inequalities involving scalar curvature, Proceedings of the AMS-UMI First Joint Meeting, Pisa (Italy), 12—16 June 2002, G. Lieberman and A. Maugeri eds., Communications on Applied Nonlinear Analysis, 10 No. 2 (2003), 9-18. pdf

 


Doctoral thesis:

 

Problemi ellittici nonlineari nella teoria di gauge di Chern-Simons. pdf  Summary in Boll. U.M.I. Serie VIII, Vol. III-A, Supplemento ad Aprile 2000, 193—196.