Publications (74)
Entire solutions to semilinear nonlocal equations in $\RR^2$
Xavier Ros-Oton, Yannick Sire
Rigidity results for some boundary quasilinear phase transitions
Yannick Sire, Enrico Valdinoci
Local analysis of solutions of fractional semi-linear elliptic equations with isolated singularities
Luis Caffarelli, Tianling Jin, Yannick Sire +1
On local behavior of singular positive solutions to nonlocal elliptic equations
Tianling Jin, Olivaine S. de Queiroz, Yannick Sire +1
Small data global regularity for half-wave maps
Joachim Krieger, Yannick Sire
Singular solutions of fractional order conformal Laplacians
Maria del Mar Gonzalez, Rafe Mazzeo, Yannick Sire
Construction of invariant whiskered tori by a parameterization method. Part II: Quasi-periodic and almost periodic breathers in coupled map lattices
Ernest Fontich, Rafael de la Llave, Yannick Sire
Asymptotics for the fractional Allen-Cahn equation and stationary nonlocal minimal surfaces
Vincent Millot, Yannick Sire, Kelei Wang
An a posteriori KAM theorem for whiskered tori in Hamiltonian partial differential equations with applications to some ill-posed equations
Rafael de la Llave, Yannick Sire
Layer solutions for the fractional Laplacian on hyperbolic space: existence, uniqueness and qualitative properties
MarÃa del Mar González, Mariel Sáez, Yannick Sire
Singular Perturbation Problem in Boundary/Fractional Combustion
Arshak Petrosyan, Wenhui Shi, Yannick Sire
A note on precised Hardy inequalities on Carnot groups and Riemannian manifolds
Emmanuel Russ, Yannick Sire
Fractional Laplacian phase transitions and boundary reactions: a geometric inequality and a symmetry result
Yannick Sire, Enrico Valdinoci
Existence and asymptotics of fronts in non local combustion models
Antoine Mellet, Jean-Michel Roquejoffre, Yannick Sire
On Fractional Schrodinger Equations in sobolev spaces
Younghun Hong, Yannick Sire
Symmetrization for fractional elliptic and parabolic equations and an isoperimetric application
Yannick Sire, Juan Luis Vazquez, Bruno Volzone
A lower bound for the number of negative eigenvalues of Schrödinger operators
Alexander Grigor'yan, Nikolai Nadirashvili, Yannick Sire
A Liouville theorem for non local elliptic equations
Louis Dupaigne, Yannick Sire
Infinite time blow-up for half-harmonic map flow from $\mathbb{R}$ into $\mathbb{S}^1$
Yannick Sire, Juncheng Wei, Youquan Zheng
Density estimates for phase transitions with a trace
Yannick Sire, Enrico Valdinoci
Singularity formation in the harmonic map flow with free boundary
Yannick Sire, Juncheng Wei, Youquan Zheng
Quasimode, eigenfunction and spectral projection bounds for Schrödinger operators on manifolds with critically singular potentials
Matthew D. Blair, Yannick Sire, Christopher D. Sogge
Optimal Existence and Uniqueness Theory for the Fractional Heat Equation
Matteo Bonforte, Yannick Sire, Juan Luis Vazquez
Boundary regularity for the Poisson equation in reifenberg-flat domains
Antoine Lemenant, Yannick Sire
Boundary connected sum of Escobar manifolds
Weiwei Ao, Maria del Mar Gonzalez, Yannick Sire
Spreading speeds for some reaction-diffusion equations with general initial conditions
Francois Hamel, Yannick Sire
The non-local mean-field equation on an interval
Azahara DelaTorre, Ali Hyder, Luca Martinazzi +1
Some possibly degenerate elliptic problems with measure data and non linearity on the boundary
Thierry Gallouët, Yannick Sire
On a fractional Ginzburg-Landau equation and 1/2-harmonic maps into spheres
Vincent Millot, Yannick Sire
Existence, Uniqueness and Asymptotic behaviour for fractional porous medium equations on bounded domains
Matteo Bonforte, Yannick Sire, Juan Luis Vazquez
Non local Poincaré inequalities on Lie groups with polynomial volume growth
Emmanuel Russ, Yannick Sire
Isoperimetric inequality for the third eigenvalue of the Laplace-Beltrami operator on $\mathbb S^2$
Nikolai Nadirashvili, Yannick Sire
Rigidity results for non local phase transitions in the Heisenberg group $H$
Luis F. López, Yannick Sire
Lifting in Besov Spaces
Petru Mironescu, Emmanuel Russ, Yannick Sire
A one-phase problem for the fractional Laplacian: regularity of flat free boundaries
Daniela De Silva, Ovidiu Savin, Yannick Sire
Minimizing fractional harmonic maps on the real line in the supercritical regime
Vincent Millot, Yannick Sire, Hui Yu
Interior estimates for the eigenfunctions of the fractional Laplacian on a bounded Euclidean domain
Xiaoqi Huang, Yannick Sire, Cheng Zhang
A fractional isoperimetric problem in the Wiener space
Matteo Novaga, Diego Pallara, Yannick Sire
Nonlinear equations for fractional Laplacians I: Regularity, maximum principles, and Hamiltonian estimates
Xavier Cabre, Yannick Sire
Besov algebras on Lie groups of polynomial growth
Isabelle Gallagher, Yannick Sire
Construction of invariant whiskered tori by a parameterization method. Part I: Maps and flows in finite dimensions
Ernest Fontich, Rafael de la Llave, Yannick Sire
Nonlinear equations for fractional Laplacians II: existence, uniqueness, and qualitative properties of solutions
Xavier Cabre, Yannick Sire
On some pointwise inequalities involving nonlocal operators
Luis A. Caffarelli, Yannick Sire
Symmetry properties for solutions of nonlocal equations involving nonlinear operators
Mostafa Fazly, Yannick Sire
Regularity of radial extremal solutions for some non local semilinear equations
Antonio Capella, Juan Dávila, Louis Dupaigne +1
Numerical computation of travelling breathers in Klein-Gordon chains
Yannick Sire, Guillaume James
Subcritical approximation of a Yamabe type non local equation: a Gamma-convergence approach
Giampiero Palatucci, Adriano Pisante, Yannick Sire
Stable solutions of elliptic equations on Riemannian manifolds
Alberto Farina, Yannick Sire, Enrico Valdinoci
Weak solutions of geometric flows associated to integro-differential harmonic maps
Armin Schikorra, Yannick Sire, Changyou Wang
Almost global existence for a fractional Schrodinger equation on spheres and tori
Dario Bambusi, Yannick Sire
Minimizers for the thin one-phase free boundary problem
Max Engelstein, Aapo Kauranen, Martà Prats +2
A one-dimensional symmetry result for a class of nonlocal semilinear equations in the plane
Francois Hamel, Xavier Ros-Oton, Yannick Sire +1
Non degeneracy of the bubble in the critical case for non local equations
Juan Davila, Manuel del Pino, Yannick Sire
Symmetry results for fractional elliptic systems and related problems
Mostafa Fazly, Yannick Sire
Refined Sobolev inequalities on manifolds with ends
Jean-Marc Bouclet, Yannick Sire
Conformal invariants from nodal sets II. Manifolds with boundary
Graham Cox, Dmitry Jakobson, Mikhail Karpukhin +1
Nonlocal equations with measure data
Tuomo Kuusi, Giuseppe Mingione, Yannick Sire
On the nodal set of solutions to degenerate or singular elliptic equations with an application to $s-$harmonic functions
Yannick Sire, Susanna Terracini, Giorgio Tortone
Conformal Spectrum and Harmonic maps
Nikolai Nadirashvili, Yannick Sire
A note on precised Hardy inequalities on Carnot groups and Riemannian manifolds
Emmanuel Russ, Yannick Sire
A variational approach to the inviscous limit of fractional conservation laws
Mauro Mariani, Yannick Sire
Weak and smooth solutions for a fractional Yamabe flow: the case of general compact and locally conformally flat manifolds
Panagiota Daskalopoulos, Yannick Sire, Juan-Luis Vázquez
Fractional Poincaré inequalities for general measures
Clément Mouhot, Emmanuel Russ, Yannick Sire
Some elliptic PDEs on Riemannian manifolds with boundary
Yannick Sire, Enrico Valdinoci
$Î$-convergence of some super quadratic functionals with singular weights
Giampiero Palatucci, Yannick Sire
A new class of Traveling Solitons for cubic Fractional Nonlinear Schrodinger equations
Younghun Hong, Yannick Sire
Critical exponent for the global existence of solutions to a nonlinear degenerate/singular parabolic equation
Yohei Fujishima, Tatsuki Kawakami, Yannick Sire
On the energy-critical fractional Schödinger equation in the radial case
Zihua Guo, Yannick Sire, Yuzhao Wang +1
Fractional Poincaré inequality with finite total $Q$-curvature
Yannick Sire, Yi Wang
Fast iteration of cocyles over rotations and Computation of hyperbolic bundles
Gemma Huguet, Rafael de la Llave, Yannick Sire
Propagation of low regularity for solutions of nonlinear PDEs on a Riemannian manifold with a sub-Laplacian structure
Frédéric Bernicot, Yannick Sire
Bubbling solutions for nonlocal elliptic problems
Juan Dávila, Luis López RÃos, Yannick Sire
Convexity of level sets for elliptic problems in convex domains or convex rings: two counterexamples
Francois Hamel, Nikolai Nadirashvili, Yannick Sire
Computation of whiskered invariant tori and their associated manifolds: new fast algorithms
Gemma Huguet, Rafael de la Llave, Yannick Sire