Satyanad Kichenassamy

activity

20172025

most citedAnalytic description of singularities in Gowdy spacetimes

139 citations · 256 across the 17 of their papers we have counts for

collaborators

Showing 2025Show all

9 papers · 1 filter

math.AP2025

Symmetrization on the sphere and applications

Satyanad Kichenassamy

We introduce a new method of symmetrization of mappings on the $n$ -sphere ( $n \geq 2$ ). They are applied to estimate solutions of quasilinear elliptic partial differential equations…

math.AP2025★ 6 cited

Régularité du rayon hyperbolique

Satyanad Kichenassamy

Let $Ω \subset R^{2}$ be a bounded domain of class $C^{2 + α}$ , $0 < α < 1$ . We show that if $u$ is the maximal solution of $Δ u = 4 exp (2 u)$ , which tends to $+ \infty$ as $(x,y)\to\pa…

math.HO2025

Textual analysis of ancient Indian mathematics

Satyanad Kichenassamy

Recent analyses of Brahmagupta's discourse on the cyclic quadrilateral, and of Baudhāyana's approximate quadrature of the circle, have shown that it is useful to submit mathematica…

math.AP2025

Renormalized variational principles and Hardy-type inequalities

Satyanad Kichenassamy

Let $Ω \subset R^{2}$ be a bounded domain on which Hardy's inequality holds. We prove that $[exp (u^{2}) - 1] / δ^{2} \in L^{1} (Ω)$ if $u \in H_{0}^{1} (Ω)$ , where $δ$ denotes the distance to…

math.CV2025

Boundary blow-up and degenerate equations

Satyanad Kichenassamy

Let $Ω \subset R^{2}$ be a bounded domain of class $C^{2 + α}$ , $0 < α < 1$ . We show that if $u$ is the solution of $Δ u = 4 exp (2 u)$ which tends to $+ \infty$ as $(x, y) \to \partial Ω$ ,…

math.CV2025

Boundary behavior in the Loewner-Nirenberg problem

Satyanad Kichenassamy

Let $Ω \subset R^{n}$ be a bounded domain of class $C^{2 + α}$ , $0 < α < 1$ . We show that if $n \geq 3$ and $u_{Ω}$ is the maximal solution of equation $Δ u = n (n - 2) u^{(n + 2) / (n - 2)}$ in $…

math.AP2025★ 2 cited

Schauder-type estimates and applications

Satyanad Kichenassamy

The Schauder estimates are among the oldest and most useful tools in the modern theory of elliptic partial differential equations (PDEs). Their influence may be felt in practically…

math.HO2025

Further examples of apodictic discourse, I

Satyanad Kichenassamy

The analysis of problematic mathematical texts, particularly from India, has required the introduction of a new category of rigorous discourse, apodictic discourse. We briefly reca…

math.AP2025

Apodictic discourse and the Cauchy-Bunyakovsky-Schwarz inequality

Satyanad Kichenassamy

Bunyakovsky's integral inequality (1859) is one of the familiar tools of modern Analysis. We try and understand what Bunyakovsky did, why he did it, why others did not follow the s…