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Nonlinear elliptic PDEs: analysis and computations

Organizer(s):
Name:	Affiliation:	Country:
Florin Catrina	St. John`s University	USA
Zhi-Qiang Wang	Utah State University	USA
Jianxin Zhou	Texas A&M University	USA

Abstract:

This group will focus on nonlinear equations and systems involving the weighted p-Laplacian operator, the fractional Laplacian and more general non-local operators, in both Euclidean spaces and on Riemannian manifolds. It will highlight new developments on the existence and qualitative properties of solutions, such as symmetry, monotonicity, uniqueness, and regularity. The group will also discuss broad applications of these equations to various branches of Sciences, such as Physics, Chemistry, Biology, Probability, and Finance.

List of approved abstract
Name	Affiliation	Title
Soledad Benguria Andrews	University of Wisconsin-Madison	A generalized radial Brezis-Nirenberg problem
Florin Catrina	St. John`s University	An energy conservation law and applications to PDE
David Costa	UNLV	Heterogeneous Radially Symmetric Semilinear Elliptic Equations with Critical Nonlinearities in R^2
Manuel del Pino	University of Bath	Singularity formation for the Keller-Segel system in the plane
Wenrui Hao	Penn State University	Homotopy methods for solving nonlinear PDEs
Norihisa Ikoma	Keio University	Existence and nonexistence of stable solutions to a fractional Hardy-H\`{e}non equation
Zhaoxiang Li	Department of Mathematics, Shanghai Normal University	A Partial Newton-Correction Method for Multiple Fixed Points of nonlinear Differential Operator by Legendre-Gauss-Lobatto Pseudospectral Method
Kanishka Perera	Florida Institute of Technology	A general perturbation theorem with applications to nonhomogeneous critical growth elliptic problems
Futoshi Takahashi	Osaka Metropolitan University	Asymptotic behavior of least energy solutions to the Finsler Lane-Emden problem with large exponents
Hossein Tehrani	UNLV	On a Heterogeneous Diffusive Logistic Equation With a Harvesting Term Under Strong Growth Rate.
Zhi-Qiang Wang	Utah State University	Coupled nonlinear elliptic equations with mixed couplings
Zhuolun Yang	Brown University	Gradient estimates for the insulated conductivity problem
Jianjun Zhang	Chongqing Jiaotong University	A global branch approach to normalized solutions for Schrodinger equations
Jianxin Zhou	Texas A&M University	On Finding Multiple Solutions to Nonvariational Nonlinear Partial Differential Equations