80 citations · 123 across the 4 of their papers we have counts for
5 papers
Extremals for the Singular Moser-Trudinger Inequality via n-Harmonic Transplantation
Gyula Csato, Prosenjit Roy, Van Hoang Nguyen
The Moser-Trudinger embedding has been generalized in [Adimurthi A.; Sandeep K., A singular Moser-Trudinger embedding and its applications, \textit{NoDEA Nonlinear Differential Equ…
On the best constant in {G}affney inequality
Gyula Csato, Bernard Dacorogna, Swarnendu Sil
We discuss the value of the best constant in Gaffney inequality namely $$ \lVert \nabla ω\rVert_{L^{2}}^{2}\leq C\left( \lVert dω\rVert_{L^{2}}^{2}+\lVert δω\rVert_{L^{2}% }^{2}+\l…
On the isoperimetric problem with perimeter density r^p
Gyula Csato
In this paper the author studies the isoperimetric problem in $\re^n$ with perimeter density and volume density We settle completely the case completing a previ…
The singular Moser- Trudger Inequality on simply connected domains
Gyula Csato, Prosenjit Roy
In this paper the authors complete their study of the singular Moser-Trudinger embedding [G. Csato and P. Roy, Extremal functions for the singular Moser-Trudinger inequality in 2 d…
Extremal Functions for the Singular Moser-Trudinger Inequality in 2 Dimensions
Gyula Csato, Prosenjit Roy
In this article we prove the existence of an extremal function for a singular Moser-Trudinger inequality, due to Adimurthi- Sandeep, in 2 dimensions.