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Gyula Csató

Lecturer at UB
Research area: Partial Differential Equations / Analysis

PhD in Mathematics obtained at EPFL Lausanne (2012)

Biosketch

Current position: Lector at Universitat de Barcelona

(2017-2019) Senior Post-doc at Universitat Politècnica de Catalunya and 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.

Research lines

Calculus of variations, Moser-Trudinger inequality, first order systems of boundary value problems and vectorial pde's, isoperimetric problems, analysis on manifolds, analyisis with differential forms

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