A fractional version of Rivière's GL(n)-gauge. [PDF]
Ann Mat Pura Appl, 2022 Da Lio F, Mazowiecka K, Schikorra A.
europepmc +1 more source
Besov regularity for solutions of p-harmonic equations
Advances in Nonlinear Analysis, 2017 We establish the higher fractional differentiability of the solutions to nonlinear elliptic equations in divergence form, i.e., div𝒜(x,Du)=divF,{\operatorname{div}\mathcal{A}(x,Du)=\operatorname{div}F,} when 𝒜{\mathcal{A}} is a p-harmonic type ...
Clop Albert +2 more
doaj +1 more source
Efficient numerical approximation of a non-regular Fokker-Planck equation associated with first-passage time distributions. [PDF]
BIT Numer Math, 2022 Boehm U, Cox S, Gantner G, Stevenson R.
europepmc +1 more source
Non-homogeneous fully nonlinear contracting flows of convex hypersurfaces
Advanced Nonlinear StudiesWe consider a general class of non-homogeneous contracting flows of convex hypersurfaces in Rn+1 ${\mathbb{R}}^{n+1}$ , and prove the existence and regularity of the flow before extincting to a point in finite time.
Guan Pengfei, Huang Jiuzhou, Liu Jiawei
doaj +1 more source
On the constancy theorem for anisotropic energies through differential inclusions. [PDF]
Calc Var Partial Differ Equ, 2021 Hirsch J, Tione R.
europepmc +1 more source
Dynamical Behavior of SEIR-SVS Epidemic Models with Nonlinear Incidence and Vaccination. [PDF]
Acta Math Appl Sin, 2022 Feng XM, Liu LL, Zhang FQ.
europepmc +1 more source
Higher integrability for doubly nonlinear parabolic systems. [PDF]
SN Partial Differ Equ Appl, 2022 Bögelein V, Duzaar F, Scheven C.
europepmc +1 more source
Regularity of weak solutions to the 3D stationary tropical climate model
Open MathematicsThis article studies the regularity of weak solutions to the 3D stationary tropical climate model. We prove that when (U,V,θ)\left(U,V,\theta ) belongs to the homogeneous Morrey space M˙2,p(R3){\dot{M}}^{2,p}\left({{\mathbb{R}}}^{3}) with p>3p\gt 3, then
Song Huiyang, Bie Qunyi, Zhou Yanping
doaj +1 more source
The initial-value problem for a Gardner-type equation
Advanced Nonlinear StudiesDiscussed here is a regularized version(0.1)ut+ux+uux+Au2ux−uxxt=0, $${u}_{t}+{u}_{x}+u{u}_{x}+A{u}^{2}{u}_{x}-{u}_{\mathit{xxt}}=0,$$ of the classical Gardner equationut+ux+uux+Au2ux+uxxx=0, $${u}_{t}+{u}_{x}+u{u}_{x}+A{u}^{2}{u}_{x}+{u}_{\mathit{xxx ...
Bona Jerry +4 more
doaj +1 more source
Nonoccurrence of Lavrentiev gap for a class of functionals with nonstandard growth
Advances in Nonlinear AnalysisWe consider the functional ℱ(u)≔∫Ωf(x,Du(x))dx,{\mathcal{ {\mathcal F} }}\left(u):= \mathop{\int }\limits_{\Omega }f\left(x,Du\left(x)){\rm{d}}x, where f(x,z)f\left(x,z) satisfies a (p,q)\left(p,q)-growth condition with respect to zz and can be ...
De Filippis Filomena +2 more
doaj +1 more source