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Elliptic PDEs and fractional equations

Organizer(s):
Name:	Affiliation:	Country:
Yan Li	Baylor University	USA
Leyun Wu	Shanghai JiaoTong University	Peoples Rep of China
Wenxiong Chen	Yeshiva University	USA

Abstract:

We will address the recent advances on the theories and applications of nonlinear elliptic partial differential equations, integral equations, and equations involving fractional Laplacians and other nonlocal operators. This includes, but not limited to, the existence, non-existence, classification, symmetry, monotonicity, asymptotic behavior, and other qualitative properties of solutions. The aim of this special session is to bring together both experts and young researchers to exchange their ideas and developments in these active research areas.

List of approved abstract
Name	Affiliation	Title
Lu Chen	Beijing Institute of Technology	Ground states of bi-harmonic equations with critical exponential growth involving constant and Rabinowitz type potentials
Elliott Z Hollifield	UNC Greensboro	Positive Solutions for a Class of Fractional Laplacian Problems
YU Hongjun	School of Mathematical Sciences, South China Normal University	The Vlasov-Poisson-Landau system near a local Maxwellian
Chunhua Jin	South China Normal University	Periodic pattern formation in the coupled chemotaxis-(Navier-)Stokes system with mixed nonhomogeneous boundary conditions
Petr Kaplicky	Charles University	On regularity of p-Laplace and p-Stokes systems
Zhouyu Li	Northwestern Polytechnical University	LIOUVILLE TYPE THEOREMS FOR THE 3D STATIONARY HALL-MHD EQUATIONS
Yan Li	Baylor University	A sliding method for the fractional magnetic Laplacian
Yuanyuan Lian	Northwestern Polytechnical University	Boundary Pointwise $C^{1,\alpha}$ and $C^{2,\alpha}$ Regularity for Fully Nonlinear Elliptic Equations
Lingyu Liu	Sichuan University	A free boundary problem for a ratio-dependent predator-prey system
Hayk Mikayelyan	University of Nottingham Ningbo China	Fractional Optimal Rearrangement Problems
Jehan Oh	Kyungpook National University	Global Calderon-Zygmund theory for double phase problems
Sebastian Schwarzacher	Charles University	Self-improving property of the porous medium equation
Xuewen Wu	Northwestern Polytechnical University	An inverse eigenvalue problem for a nonlocal Sturm-Liouville operator
Leyun Wu	Shanghai Jiao Tong University	Monotonicity of solutions for fractional equations with De Giorgi type nonlinearities
Zixia Yuan	University of Electronic Science and Technology of China	Existence and non-existence of global solutions for higher-order semilinear evolution inequalities with fractional Laplacian
Junli Zhang	Northwestern Polytechnical University	${C^{1,\alpha }}$-Regularity for Quasilinear Degenerate Elliptic Equations with a Drift Term on the Heisenberg Group
Kai Zhang	Northwestern Polytechnical University	Boundary regularity for fully nonlinear elliptic equations