AIMS Home

Recent developments in variational problems and geometric analysis

Organizer(s):
Name:	Affiliation:	Country:
Mousomi Bhakta	Indian Institute of Science Education and Research Pune (IISER Pune)	India
Debdip Ganguly	Indian Institute of technology Delhi (IIT Delhi)	India

Introduction:

This session will focus on some recent developments in nonlinear PDEs related to variational problems and geometric analysis. Questions like existence, uniqueness, multiplicity, qualitative properties of solutions, functional inequalities in Sobolev spaces will be central topics of discussion.This session provides a platform for researchers to share their latest contributions and related open problems.

All Abstracts

List of abstracts and speakers
Name	Affiliation	Title
Vincenzo Ambrosio	Universita' Politecnica delle Marche	Concentration phenomena for nonlinear fractional relativistic Schrodinger equations
Rakesh Arora	Indian Institute of Technology (IIT-BHU)	Some new results on elliptic equations involving Logarithmic Laplacian
Roberta Filippucci	University of Perugia	EXISTENCE AND NONEXISTENCE OF SOLUTIONS FOR QUASILINEAR EQUATIONS WITH WEIGHTS
Alessio Fiscella	Universidade Estadual de Campinas	(p,q)-fractional problems involving a sandwich type perturbation and a critical Sobolev nonlinearity
Ali Hyder	TIFR-CAM Bangalore	One-dimensional half-harmonic maps into the circle
Teresa Isernia	Universita` Politecnica delle Marche	Ground state solutions for a $(p, q)$--Choquard equation with a general nonlinearity
Debabrata Karmakar	TIFR Centre for Applicable Mathematics	Quantitative stability of the Poincar\`{e}-Sobolev inequality on the hyperbolic space
Sandeep kunnath	TIFR Centre for Applicable Mathematics	Symmetry of Sobolev Extremals in the Hyperbolic space
Jungang Li	University of Science and Technology of China	Higher order semilinear equations on hyperbolic spaces
BHAKTI BHUSAN MANNA	IIT HYDERABAD	Higher dimensional concentration for singularly perturbed coupled elliptic systems.
Saikat Mazumdar	Indian Institute of Technology Bombay	Compactness of conformal metrics with constant Q-curvature of higher order.
Kanishka Perera	Florida Institute of Technology	An abstract multiplicity result with applications to critical growth elliptic problems