Gyula Csató

Postdoctoral fellow at BGSMath - UPC
Research area: Partial Differential Equations / Analysis

Biosketch

Current position: (from 1. Nov. 2017) Senior Post-doc at Universitat Politècnica de Catalunya, member Barcelona Graduate School of Mathematics (Centre de Recerca Matematica), Barcelona, Spain.

2015-2017:  Assistant professor (tenured) at Universidad de Concepcion, Chile.

2015:  (January-May) Post-Doctoral fellow at Technische Universität Dortmund, Germany.

October 2013--2014: Post-Doctoral fellow at TIFR-CAM Bangalore (Tata institute of fundamental research, Centre for Applicable Mathematics), India.

2012-- September 2013: Post-Doctoral fellow at EPFL Lausanne


2012 September: Defense of Ph.D. thesis, ``Some boundary value problems involving differential forms'' (Advisor B. Dacorogna, EPFL Lausanne).

2008--2012: Ph.D student at Ecole Polytechnique Fédérale de Lausanne (EPFL), Switzerland.

2001--2007: Student in mathematics and physics at University of Basel, Switzerland.

Selected publications

Csato G. and Roy P., Extremal functions for the singular Moser-Trudinger inequality in 2 dimensions, Calc. Var. Partial Differential Equations, 54, Issue 2 (2015), 2341--2366.
https://arxiv.org/abs/1410.8638

Csato G. and Roy P., The singular Moser-Trudinger inequality on simply connected domains, Communications in Partial Differential Equations, 41 (2016), no. 5, 838--847.
https://arxiv.org/abs/1507.00323

Csato G., Kneuss O. and Rajendran D., On the boundary conditions in estimating $\nabla\omega$ by $\operatorname{div}\omega$ and $\operatorname{curl}\omega$, to appear in Proc. Roy. Soc. Edinburgh Sect. A.

https://arxiv.org/abs/1709.06117

 

Csato G., An isoperimetric problem with density and the Hardy-Sobolev inequality in R^2, Differential Integral Equations, 28, Number 9/10 (2015), 971--988.
https://arxiv.org/abs/1410.8041

 

Csato G., Dacorogna B. and Sil S., On the best constant in Gaffney inequality, J. Funct. Anal., 274 (2018), no. 2, 461--503.
https://arxiv.org/abs/1712.04875