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Recent developments in Nonlinear PDEs, non-uniformly elliptic problems and related topics

Organizer(s):
Name:	Affiliation:	Country:
Alessio Fiscella	Università degli Studi di Milano-Bicocca	Italy
João Vitor da Silva	Universidade Estadual de Campinas	Brazil

Abstract:

The aim of this session is to present recent developments and future directions in the field of nonlinear elliptic PDEs with general structure, which embraces nonstandard growth conditions, non-uniform ellipticity and related topics. Besides analysis of classical nonlinear problems, the topics of the session include free boundary problems, calculus of variations and new trends on PDEs featuring non-standard growth conditions in the local and non-local scenarios. In particular, the existence, multiplicity, regularity and qualitative properties of solutions for modern nonlinear PDEs will be discussed.

List of approved abstract
Name	Affiliation	Title
Rakesh Arora	Indian Institute of Technology, Varanasi, India	A large class of nonlocal elliptic equations with singular nonlinearities
Shalmali Bandyopadhyay	University of North Carolina at Greensboro	Maximal and minimal weak solutions for elliptic coupled systems with nonlinearity on the boundary
Mousomi Bhakta	Indian Institute of Science Education and Research	A system of equations involving the fractional $p$-Laplacian and doubly critical nonlinearities
H\`ector A Chang-Lara	CIMAT	A transmission problem for first and second order operators
Angel Crespo-Blanco	Technische Universitaet Berlin	On logarithmic double phase problems
Donatella Danielli	Arizona State University	Regularity properties in obstacle-type problems for higher-order fractional powers of the Laplacian
Thialita Nascimento	University of Central Florida	New regularity estimates for fully nonlinear elliptic equations
Boyan Sirakov	PUC-Rio	Boundary weak Harnack estimates and regularity for elliptic PDE in divergence form
Mariana Smit Vega Garcia	Western Washington University	Almgren type monotonicity formulas
Aelson O Sobral	UFPB/UCF	$\mathcal{C}^1$-regularity for vicosity solutions of free boundary problems with gradient constraint
Pablo Raul Stinga	Iowa State University	Surfaces of minimum curvature variation