20 citations · 69 across the 25 of their papers we have counts for
28 papers · 1 filter
Parabolic defect measures for Harmonic Maps with Free Boundary
Anirban Das, Ali Hyder, Yannick Sire
We introduce defect measures for the heat flow of a class of harmonic maps with free boundary and initiate their analysis. Our flow is motivated by singular perturbations on the bo…
Non-constancy and multiplicity of half-harmonic maps from intervals into the circle
Ali Hyder, Luca Martinazzi
We study one-dimensional half-harmonic maps from the real line into the circle with prescribed exterior data. We show that, for every positive integer , if two disjoint interval…
Bol's type inequality for singular metrics and its application to prescribing -curvature problems
Mrityunjoy Ghosh, Ali Hyder
In this article, we study higher-order Bol's inequality for radial normal solutions to a singular Liouville equation. By applying these inequalities along with compactness argument…
The limiting case of the fractional Caffarelli-Kohn-Nirenberg inequality in dimension one
Maria del Mar Gonzalez, Ali Hyder, Mariel Saez
In this paper we study the fractional Caffarelli-Kohn-Nirenberg inequality (CKN) in one dimension when the parameter converges (from the left) to its critical value , obta…
One-dimensional half-harmonic maps into the circle and their degree
Luca Martinazzi, Ali Hyder
Given a half-harmonic map minimizing the fractional Dirichlet energy under Dirichlet boundary conditions in $\mathbb{R}\setmi…
On the Hang-Yang conjecture for GJMS equations on
Ali Hyder, Quôc Anh Ngô
This work concerns a Liouville type result for positive, smooth solution to the following higher-order equation \[ {\mathbf P}^{2m}_n (v) = \frac{n-2m}2 Q_n^{2m} (\varepsilon v…