2023 Wilmington NC USA

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 Modena and Reggio Emilia
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