279 citations
- Tata Institute of Fundamental ResearchIN32 papers
- Centre National de la Recherche ScientifiqueFR6 papers
- Heidelberg Institute for Theoretical StudiesDE4 papers
- Laboratoire Jean-Alexandre DieudonnéFR4 papers
- University of WürzburgDE4 papers
- Heidelberg UniversityDE3 papers
- Indian Institute of Technology BombayIN3 papers
- International Centre for Theoretical SciencesIN3 papers
- Lund UniversitySE3 papers
- Université Côte d'AzurFR3 papers
- Indian Institute of Science BangaloreIN2 papers
- Indian Institute of Technology BhubaneswarIN2 papers
71 papers
Quantitative Stability in Fractional Hardy-Sobolev Inequalities: The Role of Euler-Lagrange Equations
Souptik Chakraborty, Utsab Sarkar
This paper investigates sharp stability estimates for the fractional Hardy-Sobolev inequality: $$μ_{s,t}\left(\mathbb{R}^N\right) \left(\int_{\mathbb{R}^N} \frac{|u|^{2^*_s(t)}}{|x…
Random dynamics of solutions for three-dimensional stochastic globally modified Navier-Stokes equations on unbounded Poincaré domains
Kush Kinra, Manil T. Mohan
In this article, we consider a novel version of three-dimensional (3D) globally modified Navier-Stokes (GMNS) system introduced by [Caraballo et. al., Adv. Nonlinear Stud. (2006),…
Optimal regularity for all time for entropy solutions of conservation laws in
Shyam Sundar Ghoshal, Billel Guelmame, Animesh Jana +1
This paper deals with the optimal regularity for entropy solutions of conservation laws. For this purpose, we use two key ingredients: (a) fine structure of entropy solutions and (…
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…
Higher regularity for entropy solutions of conservation laws with geometrically constrained discontinuous flux
Shyam Sundar Ghoshal, Stephane Junca, Akash Parmar
For the Burgers equation, the entropy solution becomes instantly BV with only initial data. For conservation laws with genuinely nonlinear discontinuous flux, it is well…
Lipschitz potential estimates for diffusion with jumps
Nirjan Biswas, Harsh Prasad
For and , we consider the following mixed local-nonlocal equation where is…