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Sharp inequalities and nonlinear differential equations

Organizer(s):
Name:	Affiliation:	Country:
Bernhard Ruf	University of Milano	Italy
Futoshi Takahashi	Osaka City University	Japan
Federica Sani	University of Milano	Italy

Abstract:

The role played by sharp functional inequalities in the analysis of nonlinear partial differential equations (PDE) is fundamental in the Calculus of Variations. On one hand, this Special Session will be focused on recent developments in limiting and critical inequalities describing subtle relations between function spaces. On the other hand, the purpuse will be to emphasize the effect of sharp inequalities in the understanding of characteristic properties of solutions to nonlinear elliptic and evolution equations (mainly of parabolic type) such as existence/nonexistence, uniqueness/multiplicity, blow-up, singularity formation and bubbling phenomena. We hope to encourage vital discussions between groups of researchers from Real Analysis and PDE, new collaborations and connections.

List of approved abstract
Name	Affiliation	Title
David Costa	University of Nevada Las Vegas	Multiple solutions for subcritical problems 'a la' Trudinger-Moser in exterior domains of $\\mathbb{R}^2$
JOAO MARCOS DO O	UNIVERSIDADE FEDERAL DA PARAIBA	A Trudinger-Moser trace inequality on the upper half-space and applications
Masato Hashizume	Ehime University	Effect of lower order perturbation on maximization problem associated with Trudinger-Moser inequality
Norisuke Ioku	Tohoku University	Non-uniqueness for a critical heat equation in two dimensions with singular data
Toru Kan	Osaka Prefecture University	On the integrability of fractional maximal functions for measures
OLIMPIO H MIYAGAKI	UFSCAR-UNIVERSIDADE FEDERAL DE SAO CARLOS	On a class of local Hamiltonian Choquard-type elliptic systems in R2
Daisuke Naimen	Muroran Institute of Technology	Concentration compactness phenomena on nodal radial solutions of semilinear elliptic equations with the Trudinger-Moser growth
Ratnasingham Shivaji	University of North Carolina at Greensboro	Uniqueness of positive radial solutions for a class of infinite semipositone $p$-Laplacian problems in a ball
Asuka TAKATSU	Tokyo Metropolitan University	To logconcavity and beyond
Cristina Tarsi	Universit\`a degli Studi di Milano	On a Trudinger Moser type inequality with log weight in $R^2$
Hidemitsu Wadade	Kanazawa University / Institute of Science and Engineering	On the existence of maximizers for inhomogeneous Trudinger-Moser type inequalities on the whole space
Jun Wang	Jiangsu University	Liouville theorems and periodic solutions for the nonhomogeneous parabolic system with quadratic nonlinearities
Zhitao Zhang	Academy of Mathematics and Systems Science, Chinese	Existence of solutions to Schrodinger systems with linear and nonlinear couplings
Jianjun Zhang	Chongqing Jiaotong University	Sign-changing solutions of nonlinear nonlocal problems