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# Louis Dupaigne

47
Documents
Researcher identifiers

## Publications

### Classification and Liouville-type theorems for semilinear elliptic equations in unbounded domains

Analysis & PDE, 2022, 15 (2), pp.551-566. ⟨10.2140/apde.2022.15.551⟩
Journal articles

### A Liouville-Type Theorem for the Lane–Emden Equation in a Half-space

International Mathematics Research Notices, 2022, 2022 (12), pp.9024-9043. ⟨10.1093/imrn/rnaa392⟩
Journal articles

### Regularity and symmetry for semilinear elliptic equations in bounded domains

Communications in Contemporary Mathematics, 2022, ⟨10.1142/S0219199722500183⟩
Journal articles

### The Lane–Emden equation in strips

Proceedings of the Royal Society of Edinburgh: Section A, Mathematics, 2018, 148 (1), pp.51-62. ⟨10.1017/S0308210517000142⟩
Journal articles

### ON THE FRACTIONAL LANE-EMDEN EQUATION

Transactions of the American Mathematical Society, 2016
Journal articles

### Nonhomogeneous boundary conditions for the spectral fractional Laplacian

Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2016, ⟨10.1016/j.anihpc.2016.02.001⟩
Journal articles

### A monotonicity formula and a Liouville-type theorem for a fourth order supercritical problem

Advances in Mathematics, 2014, pp.10.1016/j.aim.2014.02.034. ⟨10.1016/j.aim.2014.02.034⟩
Journal articles

### A new critical curve for the Lane-Emden system

Discrete and Continuous Dynamical Systems - Series A, 2014, 34 (6), pp.2469 - 2479. ⟨10.3934/dcds.2014.34.2469⟩
Journal articles

### The Gel'fand Problem for the Biharmonic Operator

Archive for Rational Mechanics and Analysis, 2013, 208 (3), pp.725-752. ⟨10.1007/s00205-013-0613-0⟩
Journal articles

### Entire large solutions for semilinear elliptic equations

Journal of Differential Equations, 2012, 253 (7), pp.2224-2251. ⟨10.1016/j.jde.2012.05.024⟩
Journal articles

### Regularity of Radial Extremal Solutions for Some Non-Local Semilinear Equations

Communications in Partial Differential Equations, 2011, 36 (8), pp.1353--1384. ⟨10.1080/03605302.2011.562954⟩
Journal articles

### Decay of solutions to a water wave model with a nonlocal viscous dispersive term

Discrete and Continuous Dynamical Systems - Series A, 2010, 27 (4), pp.1473-1492. ⟨10.3934/dcds.2010.27.1473⟩
Journal articles

### Back to the Keller-Osserman condition for boundary blow-up solutions

Advanced Nonlinear Studies, 2007, pp.271 298
Journal articles

### On a non-local equation arising in population dynamics

Proceedings of the Royal Society of Edinburgh: Section A, Mathematics, 2007, 137 (4), pp.727-755. ⟨10.1017/S0308210504000721⟩
Journal articles

### Propagation speed of travelling fronts in non local reaction-diffusion equations

Nonlinear Analysis: Theory, Methods and Applications, 2005, 60 (5), pp.797-819. ⟨10.1016/j.na.2003.10.030⟩
Journal articles

### Elliptic equations with vertical asymptotes in the nonlinear term

Journal d'analyse mathématique, 2005, ?
Journal articles

### On a semilinear elliptic equation with inverse-square potential

Selecta Math, 2005, 11, pp.1-7
Journal articles

### Borel summation of adiabatic invariants

Nonlinearity, 2004, 17, pp.509--519
Journal articles

### Singularities of positive supersolutions in elliptic PDEs

Selecta Mathematica, 2004, 10, pp.341--358
Journal articles

### Hardy type inequalities

Journal of the European Mathematical Society, 2004, 6, pp.335--365
Journal articles

### Travelling fronts in integrodifferential equations

Comptes rendus de l'Académie des sciences. Série I, Mathématique, 2003, 337 (1), pp.25-30. ⟨10.1016/S1631-073X(03)00216-4⟩
Journal articles

### Large solution for semilinear elliptice equations

Workshop on Nonlinear PDE and applications : Theoretical and Numerical Study, May 2014, Tanger, Morocco
Conference papers

### Large solutions for semilinear elliptic equations

Workshop on nonlinear PDE and Applications : theorical and numerical study (Tanger), 2014, Unknown
Conference papers

### Regularity of the extremal solutions for the Liouville system

Geometric Partial Differential Equations and Nonlinear Analysis, Oct 2012, Pisa, Italy, Italy. pp.139 - 144, ⟨10.1007/978-88-7642-473-1_7⟩
Conference papers

### Liouville-type theorems for the Lane-Emden equation in the half-space and cones

2022
Preprints, Working Papers, ...

### A conformal geometric point of view on the Caffarelli-Kohn-Nirenberg inequality

2021
Preprints, Working Papers, ...

### Sobolev's inequality under a curvature-dimension condition

2021
Preprints, Working Papers, ...

### REGULARITY AND SYMMETRY FOR SEMILINEAR ELLIPTIC EQUATIONS IN BOUNDED DOMAINS

2021
Preprints, Working Papers, ...

### Classification and Liouville-type theorems for semilinear elliptic equations in unbounded domains.

2020
Preprints, Working Papers, ...

### ON THE FRACTIONAL LANE-EMDEN EQUATION

2014
Preprints, Working Papers, ...

### THE GEL'FAND PROBLEM FOR THE BIHARMONIC OPERATOR

2012
Preprints, Working Papers, ...

### Uniqueness of large solutions

2012
Preprints, Working Papers, ...

### Regularity of the extremal solutions for the Liouville system

2012
Preprints, Working Papers, ...

### PARTIAL REGULARITY OF FINITE MORSE INDEX SOLUTIONS TO THE LANE-EMDEN EQUATION

2010
Preprints, Working Papers, ...

### Boundary blow-up solutions in the unit ball : asymptotics, uniqueness and symmetry

2009
Preprints, Working Papers, ...

### Stable solutions of $-\Delta u =f(u)$ in $\mathbb R^N$

2008
Preprints, Working Papers, ...

### On a nonlocal equation arising in population dynamics

2008
Preprints, Working Papers, ...

### Stable solutions for the bilaplacian with exponential nonlinearity

2008
Preprints, Working Papers, ...

### Perturbing singular solutions of the Gelfand problem

2008
Preprints, Working Papers, ...

### The extremal solution of a boundary reaction problem

2008
Preprints, Working Papers, ...

### On a semilinear elliptic equation with inverse square potential

2008
Preprints, Working Papers, ...

### Singular elliptic problems with convection term in anisotropic media

2006
Preprints, Working Papers, ...

### On a nonlocal equation arising in population dynamics

2005
Preprints, Working Papers, ...

### Comparison principles for PDEs with a singular potential

2002
Preprints, Working Papers, ...

### Semilinear elliptic PDEs with a singular potential

2001
Preprints, Working Papers, ...

### A nonlinear elliptic PDE with the inverse-square potential

2000
Preprints, Working Papers, ...

### Equations elliptiques semilineaires avec potentiel singulier

Mathematics [math]. Université Pierre et Marie Curie - Paris VI, 2001. English. ⟨NNT : ⟩
Theses