INdAM - GNAMPA Project 2017

Teoria e modelli non locali

 

Principal investigator:

• Luigi D'Onofrio (Università degli Studi di Napoli ‘Parthenope’)

Members:

• Vincenzo Ambrosio (Università degli Studi di Urbino ‘Carlo Bo’)
• Linda De Cave (Universität Zürich)
• Teresa Isernia (Università degli Studi di Napoli ‘Federico II’)
• Alessia Elisabetta Kogoj (Università degli Studi di Urbino ‘Carlo Bo’)
• Giovanni Molica Bisci (Università ‘Mediterranea’ di Reggio Calabria)
• Simone Secchi (Università degli Studi di Milano ‘Bicocca’)
• Raffaella Servadei (Università degli Studi di Urbino ‘Carlo Bo’)

Workshops and conferences:

• Minisimposium Theory and methods in nonlinear analysis, organized by Giovanni Anello and Giovanni Molica Bisci during the International Conference on Elliptic and Parabolic Problems, Gaeta (Latina), May 22-26, 2017
• Minisimposium Nonlocal fractional problems and related topics, organized by Vincenzo Ambrosio and Raffaella Servadei during the Internatin Conference on Elliptic and Parabolic Problems, Gaeta (Latina), May 22-26, 2017
• Two nonlinear days in Urbino 2017, Urbino, July 6-7, 2017
• 4th Conference on Recent Trends in Nonlinear Phenomena, Messina, September 18-20, 2017

Visiting Professors:

• Eduardo Colorado (Universidad ‘Carlos III’ de Madrid)

Papers:

• V. Ambrosio, Periodic solutions for a superlinear fractional problem without the Ambrosetti- Rabinowitz condition, Discrete Cont. Dyn. Syst. 37, (2017), doi:10.3934/dcds.2017099.
• V. Ambrosio, G.M. Figueiredo, T. Isernia and G. Molica Bisci, Sign-changing solutions for a class of zero mass nonlocal Schrodinger equations, submitted for publication, preprint, arXiv:1609.08999.
• V. Ambrosio and G. Molica Bisci, Periodic solutions for nonlocal fractional equations, Commun. Pure Appl. Anal. (in press).
• V. Ambrosio and T. Isernia, Sign-changing solutions for a class of fractional Schrodinger equations with vanishing potentials, submitted for publication, preprint, arXiv:1609.09003.
• R. Bartolo and G. Molica Bisci, Asymptotically linear fractional p-Laplacian equations, Ann. Mat. Pura Appl. (in press).
• J. Mawhin and G. Molica Bisci, A Brezis-Nirenberg type result for a nonlocal fractional operator, J. Lond. Math. Soc. (in press).
• G. Molica Bisci and D. Repovs, Yamabe-type equations on Carnot groups, Potential Anal. (in press).
• G. Molica Bisci, D. Mugnai and R. Servadei, On multiple solutions for nonlocal fractional problems via $\nabla$-theorems, Differential Integral Equations (in press).
• G. Molica Bisci and L. Vilasi, On a fractional degenerate Kirchhoff-type problem, Commun. Contemp. Math. (in press).
• G. Molica Bisci, D. Repovs and R. Servadei, Nontrivial solutions of superlinear nonlocal problems, to appear in Forum Math.