期刊： ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2021; 38 (4)
The family of planar linear chains are found as collision-free action minimizers of the spatial N-body problem with equal masses under D-N and D-N x Z......
期刊： ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2021; 38 (4)
We prove sharp blow up rates of solutions of higher order conformally invariant equations in a bounded domain with an isolated singularity, and show t......
期刊： ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2021; 38 (4)
We use entropy theory as a new tool to study sectional hyperbolic flows in any dimension. We show that for C-1 flows, every sectional hyperbolic set L......
期刊： ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2021; 38 (4)
In high-contrast composite materials, the electric field concentration is a common phenomenon when two inclusions are close to touch. It is important ......
期刊： ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2021; 38 (5)
The Markov and Lagrange dynamical spectra were introduced by Moreira and share several geometric and topological aspects with the classical ones. Howe......
期刊： ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2021; 38 (2)
In this paper, we study the local behavior of nonnegative solutions of fractional semi-linear equations (-Delta)(sigma) u = u(p) with an isolated sing......
期刊： ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2021; 38 (1)
In this paper we develop a new way to study the global existence and uniqueness for the Navier-Stokes equation (NS) and consider the initial data in a......
期刊： ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2021; 38 (3)
We analyze the global nonlinear stability of FLRW (Friedmann-Lemaitre-Robertson-Walker) spacetimes in the presence of an irrotational perfect fluid. W......
期刊： ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2021; 38 (3)
In this paper we prove the existence and linear stability of full dimensional tori with subexponential decay for 1-dimensional nonlinear wave equation......
期刊： ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2021; 38 (3)
This paper is concerned with the classical two-species Lotka-Volterra diffusion system with strong competition. The sharp dynamical behavior of the so......
期刊： ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2020; 37 (2)
We study the convergence to equilibrium for the full compressible Navier-Stokes equations on the torus T-3. Under the conditions that both the density......
期刊： ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2020; 37 (2)
We study the energy-critical nonlinear wave equation in the presence of an inverse-square potential in dimensions three and four. In the defocussing c......
期刊： ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2019; 36 (1)
We prove that any 3-dimensional hyperbolic end with particles (cone singularities along infinite curves of angles less than 7t) admits a unique foliat......
期刊： ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2019; 36 (1)
Let u be a map from a Riemann surface M to a Riemannian manifold N and alpha > 1, the alpha energy functional is defined as E-alpha(u)= 1/2 integra......
期刊： ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2019; 36 (1)
We consider a continuously differentiable curve t -> gamma(t) in the space of 2n x 2n real symplectic matrices, which is the solution of the follow......
