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Recent Advances in Local and Non-local Elliptic PDEs

Organizer(s):
Name:	Affiliation:	Country:
Anoop T V	Indian Institute of Technology Madras	India
Prosenjit Roy	Indian Institute of Technology Kanpur	India
Sarath Sasi	Indian Institute of Technology Palakkad	India

Introduction:

In recent years, there have been a lot of advancements in the theory of both local and non-local elliptic partial differential equations. This session provides a platform for researchers to share their latest contributions and related open problems. Mainly, this session will focus on functional inequalities in Sobolev spaces and qualitative properties of solutions of local and non-local PDEs.

All Abstracts

List of abstracts and speakers
Name	Affiliation	Title
Kaushik Bal	Indian Institute of Technology, Kanpur	Multiplicity of solutions for mixed local-nonlocal elliptic equations with singular nonlinearity
Anna Balci	Charles University, Bielefeld University	Hodge decomposition in variable exponent spaces with applications to regularity theory
Maya Chhetri	The University of North Carolina at Greensboro	An interpolation approach to $L^{\infty}$ a priori estimates for elliptic problems with nonlinearity on the boundary
Indranil Chowdhury	Indian Institute of Technology, Kanpur	Rate of Convergence of Approximations to Nonlocal HJB Equations
Purbita Jana	Madras School of Economics	ANISOTROPIC p-LAPLACE EQUATIONS ON LONG CYLINDRICAL DOMAIN
Lakshmi Sankar Kalappattil	Indian Institute of Technology Palakkad	Semilinear elliptic boundary value problems on the exterior of a ball in $R^{n}$, $n \\geq 2$
Mohan Kumar Mallick	VNIT Nagpur	Optimal harvesting for a logistic model with grazing
Saikat Mazumdar	Indian Institute of Technology Bombay	High energy solutions for non-compact variational problems
Simon Nowak	Bielefeld University	Nonlinear nonlocal potential theory at the gradient level
Dhanya Rajendran	IISER Thiruvananthapuram	Asymptotic Estimates for $(p,q)$ Laplace Problems with Singular and Indefinite Sign Non-linearity and some applications
Abhishek Sarkar	Indian Institute of Technology Jodhpur	Degenerate Schr{\o}dinger-Kirchhoff $(p, N)$-Laplacian problem with singular Trudinger-Moser nonlinearity in $\mathbb{R}^N$
Ratnasingham Shivaji	University of North Carolina at Greensboro	Uniqueness of positive solutions for a class of nonlinear elliptic equations with Robin boundary conditions
Firoj Sk	University of Oldenburg	On logarithmic p-Laplacian
Sheela Verma	Indian Institute of Technology (BHU) Varanasi	Shape optimization problem for Steklov Dirichlet eigenvalues