Nonlinear phenomena in elliptic and parabolic equations
 Organizer(s):
Name:
Affiliation:
Country:
Futoshi Takahashi
Osaka Metropolitan University
Japan
Bernhard Ruf
University of Milan
Switzerland
Daisuke Naimen
Muroran Institute of Technology
Japan
 Introduction:  
  Recent advances in the analysis of qualitative properties of solutions to nonlinear elliptic and parabolic equations will be focused in this Special Session. Topics which will be discussed are: existence, non-existence, uniqueness, non-uniqueness and multiplicity of solutions, as well as asymptotic behavior, blow-up, singularity formation and bubbling phenomena. Special attention will be given to the use of critical and limiting inequalities as a fundamental tool to refine the understanding of nonlinear equations. Indeed, the analysis of these equations within the Calculus of Variations is profoundly related to the development of sharp inequalities describing subtle relations between functional spaces. Main goal of this Special Session is to encourage vital discussions between researchers from Real Analysis and PDEs, fostering collaborations and connections.