Publications HAL

2021/01 Journal of the European Mathematical Society – Circular flows for the Euler equations in two-dimensional annular domains, and related free boundary problems

2020/04 – Geometric properties of superlevel sets of semilinear elliptic equations in convex domains

2019/01 Archive for Rational Mechanics and Analysis – A Liouville theorem for the Euler equations in the plane

2018/01 Séminaire Laurent Schwartz – EDP et applications – Parallel and circular flows for the two-dimensional Euler equations *

2017/03 Chinese Annals of Mathematics – Series B – Singular solutions to conformal Hessian equations

2017/03 Communications on Pure and Applied Mathematics – Shear Flows of an Ideal Fluid and Elliptic Equations in Unbounded Domains

2016/09 Inverse Problems – The John equation for tensor tomography in three-dimensions

2016/08 – Integral geometry of Euler equations

2016/01 – Isoperimetric inequality for the third eigenvalue of the Laplace-Beltrami operator on $\mathbb S^2$

2016/01 American Journal of Mathematics – Convexity of level sets for elliptic problems in convex domains or convex rings: two counterexamples

2015/09 Archive for Rational Mechanics and Analysis – Negative Eigenvalues of Two-Dimensional Schrödinger Operators

2015/06 – Partial analyticity and nodal sets for nonlinear elliptic systems

2015/01 Moscow Mathematical Journal – Maximization of higher order eigenvalues and applications

2015/01 Moscow Mathematical Journal – Conformal Spectrum and Harmonic maps

2014/12 Proceedings of the Royal Society of Edinburgh: Section A, Mathematics – Analyticity of solutions for quasilinear wave equations and other quasilinear systems

2014/11 Potential Analysis – Sets of unique continuation for heat equation

2014/06 – A lower bound for the number of negative eigenvalues of Schr\ »{o}dinger operators

2014/06 Geometric And Functional Analysis – Liouville theorem for Beltrami flow

2014/01 – Nonlinear Elliptic Equations and Nonassociative Algebras

2013/12 Journal de Mathématiques Pures et Appliquées – Singular solutions of Hessian elliptic equations in five dimensions

2013/10 Communications on Pure and Applied Mathematics – Homogeneous Solutions of Fully Nonlinear Elliptic Equations in Four Dimensions

2013/09 Archive for Rational Mechanics and Analysis – On Stationary Solutions of Two-Dimensional Euler Equation

2012/10 Advances and Applications in Discrete Mathematics – A non-classical solution to a Hessian equation from Cartan isoparametric cubic

2012/02 Mathematische Zeitschrift – On axially symmetric solutions of fully nonlinear elliptic equations

2012/01 Séminaire Laurent Schwartz – EDP et applications – Symmetrization of functions and principal eigenvalues of elliptic operators

2011/10 Advances and Applications in Discrete Mathematics – Singular solutions of Hessian fully nonlinear elliptic equations

2011/01 Annals of Mathematics – Rearrangement inequalities and applications to isoperimetric problems for eigenvalues

2008/01 – Maximization of the second positive Neumann eigenvalue for planar domains

2006/07 – A Faber-Krahn inequality with drift

2005/01 Journal of the European Mathematical Society – The speed of propagation for KPP type problems. I – Periodic framework

2005/01 Communications in Mathematical Physics – Elliptic eigenvalue problems with large drift and applications to nonlinear propagation phenomena