Special Session 73: Nonlinear elliptic and parabolic equations and related functional inequalities
Organizer(s): Bernhard Ruf , Federica Sani , Futoshi Takahashi

Parallel Session 2 :: Monday, 12/16, 12:30-14:30                  Capital Suite 1
12:30-13:00	Manuel del Pino (, England)  Singularity formation for the Keller-Segel system in the plane

13:00-13:30

Tohru Ozawa (Waseda University, Japan)  Proof of the Brezis-Gallouet inequality via heat semigroup

13:30-14:00

Filomena Pacella (University of Roma Sapienza, Italy)  Overdetermined problems in cylinders and related questions

14:00-14:30

Michinori Ishiwata (Osaka university, Japan)  On the asymptotic behavior of noncompact orbits for dynamical systems

Parallel Session 3 :: Monday, 12/16, 14:45-16:45               Capital Suite 1
14:45-15:15	Monica Musso (University of Bath, England)  Delaunay-like compact equilibria in the liquid drop model

15:15-15:45

Norisuke Ioku (Tohoku University, Japan)  Existence of solutions to a semilinear heat equation in uniformly local weak Zygmund type spaces

15:45-16:15

Daniele Cassani (University of Insubria & RISM, Italy)  Fine bounds for best constants in subcritical Sobolev`s embeddings and applications

16:15-16:45

Daisuke Naimen (Muroran Institute of Technology, Japan)  Concentration and oscillation analysis of semilinear elliptic equations with exponential growth in a disc

Parallel Session 4 :: Monday, 12/16, 17:00-19:30                  Capital Suite 1
17:00-17:30	Marta Calanchi (Universit\`a degli Studi di Milano, Italy)  Nonlinearities and singularities

17:30-18:00

Masato Hashizume (Osaka University, Japan)  Relationship between maximizers of maximization problems and ground state solutions of semilinear elliptic equations

18:00-18:30

Qi Guo (Renmin University of China, Peoples Rep of China)  Recent developments in the study of nonrelativistic limit of nonlinear Dirac equations

18:30-19:00

Prosenjit Roy (Indian Institute of Technology, Kanpur, India)  Critical cases of Boundary Hardy and applcation to Moser-Trudinger inequality

19:00-19:30

Jie Wan (Beijing Institute of Technology, Peoples Rep of China)  Recent progress in the study of concentrated helical vortices of 3d incompressible Euler equations

Parallel Session 5 :: Tuesday, 12/17, 8:00-10:00                 Capital Suite 1
8:00-8:30	Elide Terraneo (University of Milano, Italy)  Some nonlinear heat equations with exponential non-linearity and with singular data in two dimensions

8:30-9:00

Michiaki Onodera (Tokyo Institute of Technology, Japan)  Concentrations in Bernoulli`s free boundary problem

9:00-9:30

Gabriele Mancini (University of Bari Aldo Moro, Italy)  N-Euclidean Logarithmic Moser-Trudinger-Onofri inequality and some geometrical variants

9:30-10:00

Takeshi Suguro (Kumamoto University, Japan)  Deficit estimates for an entropic form of Gagliardo-Nirenberg inequalities related to nonlinear diffusion equations and their application

Parallel Session 6 :: Tuesday, 12/17, 12:30-14:30                 Capital Suite 1
12:30-13:00	Cristina Tarsi (Universit\`a degli Studi di Milano, Italy)  Bifurcation into spectral gaps for Schr\odinger equations: from local to non local case

13:00-13:30

Tatsuya Miura (Kyoto Univeristy, Japan)  Uniqueness and minimality in Euler`s elastica problem

13:30-14:00

Luca Battaglia (Universita degli Studi Roma Tre, Italy)  New solutions for the Lane-Emden problem in planar domains

14:00-14:30

Jyotshana Prajapat (University of Mumbai, India)  : Global existence of solutions of a class of system of reaction-diffusion equations on evolving domains.