INdAM - GNAMPA Project 2016
Problemi variazionali su varietà riemanniane e gruppi di Carnot
Principal investigator:
- Giovanni Molica Bisci (Università ‘Mediterranea’ di Reggio Calabria)
Members:
- Maicol Caponi (Scuola Internazionale Superiore di Studi Avanzati (SISSA))
- Luigi D'Onofrio (Università degli Studi di Napoli ‘Parthenope’)
- Patrizia Pucci (Università degli Studi di Perugia)
- Simone Secchi (Università degli Studi di Milano ‘Bicocca’)
- Raffaella Servadei (Università degli Studi di Urbino ‘Carlo Bo’)
- Francesco Tulone (Università degli Studi di Palermo)
Workshops and conferences:
- Minisimposium Variational models and transportation problems, organized by Giuseppe Devillanova and Giovanni Molica Bisci during the 9th European Conference on Elliptic and Parabolic Problems, Gaeta (Latina), May 23-27, 2016
- Minisimposium Nonlinear models and beyond, organized by Raffaella Servadei during the 9th European Conference on Elliptic and Parabolic Problems, Gaeta (Latina), May 23-27, 2016
- Two nonlinear days in Urbino 2016, Urbino, July 7-8, 2016
- 3rd Conference on Recent Trends in Nonlinear Phenomena, Perugia, September 28-30, 2016
- James Serrin: from his legacy to the new frontiers, Perugia, January 30 - February 3, 2017
- Topics in nonlinear analysis and applications, Milano, March 15-16, 2017
Visiting Professors:
- Giovany Malcher Figueiredo (Universidade Federal do Pará - UFPA, Brazil)
- Dusan Repovs (University of Ljubljana, Slovenia)
Papers:
- G. Autuori - F. Cluni - V. Gusella - P. Pucci: ‘Fractional Laplacian models for nonlocal elasticity of composite materials’, submitted for publication, pages 39
- R. Bartolo - G. Molica Bisci: ‘Asymptotically linear fractional $p$-Laplacian equations’, preprint, submitted for publication
- M. Caponi - P. Pucci: ‘Existence theorems for entire solutions of stationary Kirchhoff fractional p-Laplacian equations’, Ann. Mat. Pura Appl. DOI 10.1007/s10231-016-0555-x, pages 31
- L. D'Onofrio - A. Popoli - R. Schiattarella: ‘Duality for $A_{\infty}$ weights on the real line’, preprint
- L. D'Onofrio - S. Hencl - J. Maly - R. Schiattarella: ‘Note on Lusin $(N)$ condition and the distributional determinant’, preprint
- L. M. De Cave - L. D'Onofrio - R. Schiattarella: ‘Orlicz regularity of the gradient od solutions to quasilinear elliptic equations in the plane’, preprint
- A. Fiscella - G. Molica Bisci - R. Servadei: ‘Bifurcation and multiplicity results for critical nonlocal fractional Laplacian problems’, Bull. Sci. Math., 140 (2016), no. 1, 14–35
- A. Greco - R. Servadei: ‘Hopf’s lemma and constrained radial symmetry for the fractional Laplacian’, Math. Res. Lett., in press
- G. Molica Bisci - V. Radulescu - R. Servadei: ‘Competition phenomena for elliptic equations involving a general operator in divergence form’, Anal. Appl., in press
- G. Molica Bisci - V. Radulescu - R. Servadei: ‘Variational methods for nonlocal fractional problems’, Cambridge University Press - Encyclopedia of Mathematics and its Applications, in press
- G. Molica Bisci - D. Repovs - R. Servadei: ‘Nontrivial solutions of superlinear nonlocal problems’, to appear in Forum Math.
- G. Molica Bisci - D. Mugnai - R. Servadei: ‘On multiple solutions for nonlocal fractional problems via $\nabla$-theorems’, preprint, submitted for publication
- G. Molica Bisci - F. Tulone: ‘An existence result for fractional Kirchhoff-type equations’, Z. Anal. Anwendungen, in press
- P. Piersanti - P. Pucci: ‘Entire solutions for critical p-fractional Hardy Schrödinger Kirchhoff equations’, submitted for publication, pages 22
- P. Piersanti - P. Pucci: ‘Existence theorems for fractional p-Laplacian problems’, to appear in Anal. Appl., pages 25
- R. Precup - P. Pucci - C. Varga: ‘A three critical points result in a bounded domain of a Banach space and applications’, submitted for publication, pages 12
- S. Secchi: ‘On some nonlinear fractional equations involving the Bessel operator’, to appear in Journal of Dynamics and Differential Equations