20 citations · 69 across the 25 of their papers we have counts for
32 papers
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…