Results 121 to 130 of about 6,369 (172)

Two-dimensional Keller-Segel model: Optimal critical mass and qualitative properties of the solutions

Electronic Journal of Differential Equations, 2006
The Keller-Segel system describes the collective motion of cells which are attracted by a chemical substance and are able to emit it. In its simplest form it is a conservative drift-diffusion equation for the cell density coupled to an elliptic ...
Adrien Blanchet, Jean Dolbeault, Benoit Perthame   +2 more
doaj  

The refinement and generalization of Hardy's inequality in Sobolev space. [PDF]

J Inequal Appl, 2018
Xue X, Li F.
europepmc   +1 more source

Fluctuations Around the Mean-Field Limit for Attractive Riesz Potentials in the Moderate Regime. [PDF]

Arch Ration Mech Anal
Chen L, Holzinger A, Jüngel A.
europepmc   +1 more source

Variational structures for the Fokker-Planck equation with general Dirichlet boundary conditions. [PDF]

Calc Var Partial Differ Equ
Quattrocchi F.
europepmc   +1 more source

Optimal Runge approximation for nonlocal wave equations and unique determination of polyhomogeneous nonlinearities. [PDF]

Calc Var Partial Differ Equ
Lin YH, Tyni T, Zimmermann P.
europepmc   +1 more source

A note on Marcinkiewicz integrals supported by submanifolds. [PDF]

J Inequal Appl, 2018
Liu F.
europepmc   +1 more source

A generalized radial integration by parts formula and its applications to Caffarelli-Kohn-Nirenberg inequalities. [PDF]

Anal Math Phys
Di Fratta G, Fiorenza A.
europepmc   +1 more source

New Poisson inequality for the Radon transform of infinitely differentiable functions. [PDF]

J Inequal Appl, 2018
Sun Z.
europepmc   +1 more source

Partial regularity for minima of higher-order quasiconvex integrands with natural Orlicz growth. [PDF]

Ann Mat Pura Appl
Irving C.
europepmc   +1 more source

Optimal Functional Inequalities for Fractional Operators on the Sphere and Applications. [PDF]

Adv Nonlinear Stud, 2016
Dolbeault J, Zhang A.
europepmc   +1 more source