Laurain, Paul
- Angular Energy Quantization for Linear Elliptic Systems with\n Antisymmetric Potentials and Applications
2011/09/16 by Paul Laurain, Laurain, Paul, Tristan Rivière +1 · 4 citations
Mathematics · #Geometric Analysis and Curvature Flows #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems
- Regularity and quantification for harmonic maps with free boundary
2015/06/02 by Laurain, Paul, Petrides, Romain · 3 citations
#Analysis of PDEs (math.AP) #FOS: Mathematics
- Fine multibubble analysis in the higher-dimensional Brezis-Nirenberg problem
2022/11/01 by König, Tobias, Laurain, Paul · 3 citations
#Analysis of PDEs (math.AP) #FOS: Mathematics
- Multibubble blow-up analysis for the Brezis-Nirenberg problem in three dimensions
2022/08/25 by Tobias König, Paul Laurain, König, Tobias +1 · 2 citations
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Nonlinear Partial Differential Equations #Spectral Theory in Mathematical Physics
- Optimal estimate for the gradient of Green functions on degenerating surfaces and applications
2013/07/20 by Paul Laurain, Tristan Rivière, Laurain, Paul +1 · 1 citation
Computer Science · Mathematics · #30F10 #32G15 #35J35 #53A05 #53A30 #Advanced Harmonic Analysis Research #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations
- Existence of Min-Max Free Boundary Disks Releasing the Width of a Manifold
2018/06/12 by Paul Laurain, Romain Petrides, Laurain, Paul +1 · 1 citation
Engineering · Mathematics · #35J47 #35R35 #58E12 #58E20 #Advanced Numerical Analysis Techniques #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Mathematical Dynamics and Fractals
- Energy convexity of intrinsic bi-harmonic maps and applications I: spherical target
2018/05/23 by Laurain, Paul, Lin, Longzhi · 1 citation
#35G25 #35G30 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics
- On the Positive Energy Theorem for Stationary Solutions to Fourth-Order Gravity
2021/01/31 by Rodrigo Ávalos, Avalos, Rodrigo, Paul Laurain +3 · 1 citation
Mathematics · #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Mathematical Physics (math-ph) #Nonlinear Partial Differential Equations