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Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
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9 papers · 2 filters
Lyapunov-type characterisation of exponential dichotomies with applications to the heat and Klein-Gordon equations
Gong Chen, Jacek Jendrej
We give a sufficient condition for existence of an exponential dichotomy for a general linear dynamical system (not necessarily invertible) in a Banach space, in discrete or contin…
Classification of nonnegative solutions to static Schrödinger-Hartree and Schrödinger-Maxwell equations with combined nonlinearities
Wei Dai, Zhao Liu
In this paper, we are concerned with static Schrödinger-Hartree and Schrödinger-Maxwell equations with combined nonlinearities. We derive the explicit forms for positive solution $…
Liouville type theorem for critical order Hénon-Lane-Emden type equations on a half space and its applications
Wei Dai, Guolin Qin
In this paper, we are concerned with the critical order Hénon-Lane-Emden type equations with Navier boundary condition on a half space : \begin{equation}\label{NPDE…
Liouville type theorems for fractional and higher order Hénon-Hardy type equations via the method of scaling spheres
Wei Dai, Guolin Qin
In this paper, we are concerned with the fractional and higher order Hénon-Hardy type equations \begin{equation*} (-Δ)^{\fracα{2}}u(x)=f(x,u(x)) \,\,\,\,\,\,\,\,\,\,\,\, \text{in}…
Perturbations of self-similar solutions
Thierry Cazenave, Flávio Dickstein, Ivan Naumkin +1
We consider the nonlinear heat equation with , either on , , or on a bounded domain with Dirichlet boundary conditions. We prove th…
A two-dimensional labile aether through homogenization
Marc Briane, Gilles A. Francfort
Homogenization in linear elliptic problems usually assumes coercivity of the accompanying Dirichlet form. In linear elasticity, coercivity is not ensured through mere (strong) elli…
Blow-up profiles for the parabolic-elliptic Keller-Segel system in dimensions
Philippe Souplet, Michael Winkler
We study the blow-up asymptotics of radially decreasing solutions of the parabolic-elliptic Keller-Segel-Patlak system in space dimensions . In view of the biological backg…
On well-posedness and uniqueness for general hierarchy equations of Gross-Pitaevskii and Hartree type
Zied Ammari, Quentin Liard, Clément Rouffort
Gross-Pitaevskii and Hartree hierarchies are infinite systems of coupled PDEs emerging naturally from the mean field theory of Bose gases. Their solutions are known to be related t…
The Flux Limited Keller-Segel System; Properties and Derivation from Kinetic Equations
Benoît Perthame, Nicolas Vauchelet, Zhian Wang
The flux limited Keller-Segel (FLKS) system is a macroscopic model describing bacteria motion by chemotaxis which takes into account saturation of the velocity. The hyper-bolic for…