Paul Laurain
- Angular Energy Quantization for Linear Elliptic Systems with\n Antisymmetric Potentials and Applications
2011/09/16 by Paul Laurain, Tristan Rivière, Laurain, Paul +1 · 5 citations
Mathematics · #Geometric Analysis and Curvature Flows #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems
- Fine multibubble analysis in the higher-dimensional Brezis-Nirenberg problem
2022/11/01 by Tobias König, König, Tobias, Paul Laurain +1 · 4 citations
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Stochastic processes and statistical mechanics
- Multibubble blow-up analysis for the Brezis-Nirenberg problem in three dimensions
2022/08/25 by Tobias König, Paul Laurain, König, Tobias +1 · 3 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, Laurain, Paul, Romain Petrides +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 Paul Laurain, Laurain, Paul, Longzhi Lin +1 · 1 citation
Mathematics · #35G25 #35G30 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations #Numerical methods in inverse problems
- 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
- Energy quantization for biharmonic maps
2011/12/22 by Paul Laurain, Laurain, P., Tristan Rivière +1 · 1 citation
Mathematics · Physics and Astronomy · #35J47 #35J48 #35J60 #53C21 #58E20 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Nonlinear Waves and Solitons