Romain Petrides

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All published works

Action	Title	Year	Authors
+ PDF Chat	Geometric spectral optimization on surfaces	2024	Romain Petrides
+ PDF Chat	Shape optimization for combinations of Steklov eigenvalues on Riemannian surfaces	2024	Romain Petrides
+ PDF Chat	Critical metrics of eigenvalue functionals via Clarke subdifferential	2024	Romain Petrides David Tewodrose
+	Extremal metrics for combinations of Laplace eigenvalues and minimal surfaces into ellipsoids	2023	Romain Petrides
+	Laplace eigenvalues and non-planar minimal spheres into 3-dimensional ellipsoids	2023	Romain Petrides
+	Non planar free boundary minimal disks into ellipsoids	2023	Romain Petrides
+ PDF Chat	Existence of Ginzburg-Landau minimizers with optimal boundary data and applications	2022	Paul Laurain Romain Petrides
+	Maximizing one Laplace eigenvalue on n-dimensional manifolds	2022	Romain Petrides
+	A variational method for functionals depending on eigenvalues	2022	Romain Petrides
+	Existence of Ginzburg-Landau minimizers with optimal boundary data and applications	2021	Paul Laurain Romain Petrides
+	A remark on the rigidity of the first conformal Steklov eigenvalue	2020	Henrik Matthiesen Romain Petrides
+	Free boundary minimal surfaces of any topological type in Euclidean balls via shape optimization	2020	Henrik Matthiesen Romain Petrides
+	A remark on the rigidity of the first conformal Steklov eigenvalue	2020	Henrik Matthiesen Romain Petrides
+ PDF Chat	Maximizing Steklov eigenvalues on surfaces	2019	Romain Petrides
+	Existence of min-max free boundary disks realizing the width of a manifold	2019	Paul Laurain Romain Petrides
+	Monotonicity results for the first Steklov eigenvalue on compact surfaces	2018	Henrik Matthiesen Romain Petrides
+	Existence of Min-Max Free Boundary Disks Releasing the Width of a Manifold	2018	Paul Laurain Romain Petrides
+	On the Existence of Metrics Which Maximize Laplace Eigenvalues on Surfaces	2017	Romain Petrides
+	Bornes sur des valeurs propres et métriques extrémales	2015	Romain Petrides
+	Eigenvalue bounds and extremal metrics	2015	Romain Petrides
+ PDF Chat	Regularity and quantification for harmonic maps with free boundary	2015	Paul Laurain Romain Petrides
+ PDF Chat	On a rigidity result for the first conformal eigenvalue of the Laplacian	2015	Romain Petrides
+ PDF Chat	Existence and regularity of maximal metrics for the first Laplace eigenvalue on surfaces	2014	Romain Petrides
+ PDF Chat	Maximization of the second conformal eigenvalue of spheres	2014	Romain Petrides
+	On a rigidity result for the first conformal eigenvalue of the Laplacian	2013	Romain Petrides
+	Existence and regularity of maximal metrics for the first Laplace eigenvalue on surfaces	2013	Romain Petrides
+	On a rigidity result for the first conformal eigenvalue of the Laplacian	2013	Romain Petrides
+	Existence and regularity of maximal metrics for the first Laplace eigenvalue on surfaces	2013	Romain Petrides
+	Maximization of the second conformal eigenvalue of spheres	2012	Romain Petrides
+	Maximization of the second conformal eigenvalue of spheres	2012	Romain Petrides

Common Coauthors

Coauthor	Papers Together
Paul Laurain	5
Henrik Matthiesen	4
David Tewodrose	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Sharp eigenvalue bounds and minimal surfaces in the ball	2015	Ailana Fraser Richard Schoen	10
+ PDF Chat	Existence and regularity of maximal metrics for the first Laplace eigenvalue on surfaces	2014	Romain Petrides	9
+ PDF Chat	Bubble tree convergence for harmonic maps	1996	Thomas H. Parker	7
+	None	2003	Bruno Colbois Ahmad El Soufi	7
+ PDF Chat	Riemannian manifolds admitting isometric immersions by their first eigenfunctions	2000	Ahmad El Soufi Saïd Ilias	6
+	Sobolev Spaces: with Applications to Elliptic Partial Differential Equations	2011	Vladimir Maz’ya	6
+ PDF Chat	Harmonic maps from degenerating Riemann surfaces	2008	Miaomiao Zhu	6
+ PDF Chat	Elliptic Partial Differential Equations of Second Order	2001	David Gilbarg Neil S. Trudinger	6
+	Berger's isoperimetric problem and minimal immersions of surfaces	1996	Nikolaï Nadirashvili	6
+	The Existence of Minimal Immersions of 2-Spheres	1981	J. Sacks Karen Uhlenbeck	6
+ PDF Chat	Minimal surfaces and eigenvalue problems	2013	Ailana Fraser Richard Schoen	6
+	Variational aspects of Laplace eigenvalues on Riemannian surfaces	2014	Gerasim Kokarev	5
+ PDF Chat	Maximizing Steklov eigenvalues on surfaces	2019	Romain Petrides	5
+	A new conformal invariant and its applications to the Willmore conjecture and the first eigenvalue of compact surfaces	1982	Peter Li Shing‐Tung Yau	5
+ PDF Chat	Upper bounds for eigenvalues of conformal metrics	1993	Nicholas J. Korevaar	5
+ PDF Chat	Riemannian metrics with large 𝜆₁	1994	Bruno Colbois J. Dodziuk	4
+	On the Existence of Metrics Which Maximize Laplace Eigenvalues on Surfaces	2017	Romain Petrides	4
+	Laplacian eigenvalue functionals and metric deformations on compact manifolds	2007	Ahmad El Soufi Saïd Ilias	4
+	Partial regularity for stationary harmonic maps at a free boundary	2006	Christoph Scheven	4
+	Harmonic Maps, Conservation Laws and Moving Frames	2002	Frédéric Hélein	4
+	Eigenfunctions and nodal sets	1976	Shiu‐Yuen Cheng	4
+	Eigenvalues of the laplacian of compact Riemann surfaces and minimal submanifolds	1980	Paul Yang Shing‐Tung Yau	4
+	Function Spaces and Potential Theory	1996	David R. Adams Lars Inge Hedberg	4
+	Conformally Invariant Variational Problems	2012	Tristan Rivière	4
+ PDF Chat	Le Spectre D'une Variété Riemannienne	1971	Marcel Berger Paul Gauduchon Edmond Mazet	4
+	None	2005	Dmitry Jakobson Michael Levitin Nikolaï Nadirashvili Nilima Nigam Iosif Polterovich	4
+ PDF Chat	Conservation laws for conformally invariant variational problems	2006	Tristan Rivière	4
+ PDF Chat	Isoperimetric Inequality for the Second Eigenvalue of a Sphere	2002	Nikolaï Nadirashvili	4
+	Minimal immersions of surfaces by the first Eigenfunctions and conformal area	1986	Sebastián Montiel Antonlo Ros	4
+ PDF Chat	Regularity and quantification for harmonic maps with free boundary	2015	Paul Laurain Romain Petrides	4
+ PDF Chat	Uniqueness Theorems for Free Boundary Minimal Disks in Space Forms	2014	Ailana Fraser Richard Schoen	3
+ PDF Chat	Maximization of the second conformal eigenvalue of spheres	2014	Romain Petrides	3
+	The first Steklov eigenvalue, conformal geometry, and minimal surfaces	2010	Ailana Fraser Richard Schoen	3
+ PDF Chat	A General Existence Theorem for Embedded Minimal Surfaces with Free Boundary	2014	Martin Man‐chun Li	3
+ PDF Chat	Min–max for phase transitions and the existence of embedded minimal hypersurfaces	2017	Marco A. M. Guaraco	3
+ PDF Chat	Conformal and minimal immersions of compact surfaces into the 4-sphere	1982	Robert L. Bryant	3
+ PDF Chat	Free boundary minimal surfaces with connected boundary in the $3$-ball by tripling the equatorial disc	2023	Nikolaos Kapouleas David Wiygul	3
+	Complete Minimal Surfaces in S 3	1970	H. Blaine Lawson	3
+ PDF Chat	A unique extremal metric for the least eigenvalue of the Laplacian on the Klein bottle	2006	Ahmad El Soufi Héctor Giacomini Mustapha Jazar	3
+ PDF Chat	Inequalities for a Classical Eigenvalue Problem	1954	Robert Weinstock	3
+ PDF Chat	Width and finite extinction time of Ricci flow	2008	Tobias Colding William P. Minicozzi	3
+	Existence of min-max free boundary disks realizing the width of a manifold	2019	Paul Laurain Romain Petrides	3
+	Immersions minimales, première valeur propre du laplacien et volume conforme	1986	Ahmad El Soufi Saïd Ilias	3
+	Gromov’s Compactness Theorem for Pseudo-holomorphic Curves	1997	Christoph Hummel	3
+ PDF Chat	Extremal Metric for the First Eigenvalue on a Klein Bottle	2006	Dmitry Jakobson Nikolaï Nadirashvili Iosif Polterovich	3
+	Convergence of solutions of H-systems or how to blow bubbles	1985	H. Brézis Jean‐Michel Coron	3
+ PDF Chat	Minimal immersions of Riemannian manifolds	1966	Tsunero Takahashi	3
+ PDF Chat	Conformal deformation of a Riemannian metric to constant scalar curvature	1984	Richard Schoen	3
+ PDF Chat	Estimates for the energy density of critical points of a class of conformally invariant variational problems	2012	Tobias Lamm Longzhi Lin	3
+	A global compactness result for elliptic boundary value problems involving limiting nonlinearities	1984	Michaël Struwe	3