Untitled Document

Special Session 18

Scaling and Liouville theorems in studies of PDEs

Organizer(s):

Peter Polacik

Pavol Quittner

Introduction:
Liouville-type theorems belong among important tools of qualitative studies of PDEs. They are often used in combination with scaling arguments for a priori estimates of solutions and other results. The aim of this session is to discuss existing Liouville theorems in various types of PDEs and explore their applications.

List of abstracts Go Back
Name	Country	Title
Hatem Zaag	France	A Liouville Theorem for a semilinear wave equation and applications to the regularity of the blow-up set
Wenxiong Chen	USA	Non-existence of positive solutions to the Lane-Emden system and a system of integral equations
Yehuda Pinchover	Israel	Positive Liouville theorems and asymptotic behavior for $p$-Laplacian type elliptic equations with a Fuchsian potential
nejla Nouaili	France	A Liouville theorem for a semilinear heat equation and applications for quenching
Boyan Sirakov	France	Liouville theorems for elliptic inequalities and systems
Gabriel Koch	England	An alternative approach to regularity for the Navier-Stokes equations in critical spaces
Juraj Foldes	USA	Blow-up rates for solutions of indefinite superlinear parabolic problems
Yihong Du	Australia	An elliptic equation with negative exponent: stability and critical power
Eiji Yanagida	Japan	Homoclinic and heteroclinic orbits for a semilinear parabolic equation: Part I
Hiroshi Matano	Japan	Theshold and generic type I behaviors for a supercritical nonlinear heat equation
Tobias Weth	Germany	Existence and nonexistence results for entire solutions to non-cooperative elliptic systems
Francois Hamel	France	Extinction versus persistence in strong oscillating flows
Marek Fila	Slovak Rep	Homoclinic and heteroclinic orbits for a semilinear parabolic equation: Part II
Pavol Quittner	Slovak Rep	Parabolic Liouville-type theorems via their elliptic counterparts
Dominika Pilarczyk	Poland	Singular solutions of the nonlinear heat equation
Scott N Armstrong	USA	Fundamental solutions and Liouville results for fully nonlinear elliptic equations
Yanyan Li	USA	Some Liouville theorems for conformally invariant elliptic equations and related topics
Bei Hu	USA	The application of Scaling and Liouville theorems in studies of blowup theories.
Luca Rossi	Italy	Liouville type results for linear elliptic and parabolic operators
Peter Polacik	USA	Symmetry and monotonicity properties of nonnegative solutions of elliptic equation on smooth domains
Wolfgang Reichel	Germany	Liouville theorems and a-priori bounds for nonlinear second-order finite difference equations
Thomas Bartsch	Germany	Bifurcating branches of positive solutions for a nonlinear elliptic system