Gyula Csató

Publications and preprints

• 21. Cabré X., Csató G., Mas A., On the stability of cylinders as periodic-nonlocal CMC surfaces, preprint.

• 20. Csató G, Mas A., Examples of optimal Hölder regularity in semilinear equations involving the fractional Laplacian, to appear in Nonlinear Analysis, link to published version (expiring link) ,  arXiv link to pdf .

• 19. Csató G., Roy P.,  A fractional Hardy-Sobolev inequality of Michael-Simon type on convex hypersurfaces, submitted, arxiv link to pdf .

• 18. Csató G., Mas A., Strict Rearrangement Inequalities: Nonexpansivity and Periodic Gagliardo Semi-Norms, to appear in Trans. of American Math. Soc. , arXiv link to pdf .

• 17. Cabré X., Csató G., Mas A., Periodic Solutions to Integro-Differential Equations: Variational Formulation, symmetry, and regularity, to appear in Comm. in Partial Differential Equations,  arXiv link to pdf .

• 16. Cabré X., Csató G., Mas A., Existence and symmetry of periodic nonlocal-CMC surfaces via variational methods, to appear in Journal für reine und angewandte Mathematik, arxiv link to pdf 

• 15. Cabré X., Cozzi M. and Csató G., A fractional Michael-Simon Sobolev inequality on convex hypersurfaces, to apper in Ann. Inst. H. Poincaré Anal. Non Lineaire, pdf. 

• 14.  Chowdhury I., Csató G., Firoz S. and Roy P., Study of fractional Poincaré inequalities on some unbounded domains, to appear in Discrete Continuous Dynam. Syst., pdf.

• 13. Csató G., Roy P. and V.H. Nguyen, Extremals for the Singular Moser-Trudinger Inequality via n-Harmonic Transplantation,  to appear in J. Diff. Equations, pdf

• 12.  Bousquet P. and Csató G., The equation div u  + <a; u>  = f , to appear in Comm. in Contemporary Math., pdf

• 11.  Csató G., Kneuss O. and Rajendran D., On the boundary conditions in estimating nabla w  by div w  and curl w , to appear in Proc. Roy. Soc. Edinburgh Sect. A , https://doi.org/10.1017/prm.2018.48, pdf

• 10. Csató G., Dacorogna B. and Sil S., On the best constant in Gaffney inequality, J. Funct. Anal. , 274 (2018), no. 2, 461-503, pdf

• 9.  Csató G., On the isoperimetric problem with perimeter density rp; Comm. on Pure and Applied Analysis , Volume 17, Issue 6 (2018) 2729-2749, pdf

• 8.  Csató G. and Roy P., The singular Moser-Trudinger inequality on simply connected domains, Communications in Partial Differential Equations , 41  (2016), no. 5, 838-847, pdf

• 7.  Csató 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, pdf

• 6.  Csató G., An isoperimetric problem with density and the Hardy-Sobolev inequality in R2 , Differential Integral Equations , 28 , Number 9/10 (2015), 971-988, pdf

• 5. Csató G. and Dacorogna B., A Dirichlet problem involving the divergence operator, Ann. Inst. H. Poincaré Anal. Non Lineaire , 33  (2016), no. 3, 829-848, pdf

• 4. Csató G., Dacorogna B. and Kneuss O., The second order pullback equation Calc. Var. Partial Differential Equations , 49  (2014), 583-611, pdf

• 3.  Csató G., On an integral formula for dierential forms and its applications on manifolds with boundary, Analysis , 33  (2013), 349-366, pdf

• 2.  Csató G., Dacorogna B. and Kneuss O., The pullback equation for differential form , Birkhauser/Springer, New York, 2012.  (book)  http://www.springer.com/la/book/9780817683122

• 1.  Csató G. and Dacorogna B., An identity involving exterior derivatives and applications to Gaffney inequality, Discrete Continuous Dynam. Syst., Series S , 5  (2012), 531-544, pdf