Results 231 to 240 of about 5,219 (266)

Global Morrey regularity for asymptotically regular elliptic equations

open access: yesApplied Mathematics Letters, 2018
The author establish global Morrey regularity and continuity results for weak solutions to asymptotically regular elliptic problems in divergence form \[ \begin{cases} \text{div}\, ({\mathbf a}(x,u,Du)+{\mathbf h}(x,u))= f(x,u,Du)& \text{ in } \Omega,\\ u=0 & \text{ on } \partial \Omega, \end{cases} \] where \(\Omega\subset \mathbb R^n\), \(n\geq 2 ...
Sun-Sig Byun, Jehan Oh
exaly   +2 more sources

Sobolev regularity for quasilinear parabolic equations with asymptotically regular nonlinearity

Applied Mathematics Letters, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shenzhou Zheng
exaly   +3 more sources

Asymptotic regularity for p-Laplacian equation

Journal of Mathematical Physics, 2010
This paper is devoted to proving some asymptotic regularity of the solutions of the p-Laplacian equation ut−div(|∇u|p−2∇u)+f(u)=g(x) (p∊(2,N)) considered on a bounded domain Ω⊂RN(N≥3). The nonlinear term f satisfies the polynomial growth condition of arbitrary order c1|u|q−k≤f(u)u≤c2|u|q+k, where q≥2 is arbitrary.
Liu, Yuewei, Yang, Lu, Zhong, Chengkui
openaire   +1 more source

Asymptotically Regular Mappings

1997
We shall study in this chapter the existence of fixed points for a different class of mappings, called asymptotically regular mappings. The concept of asymptotically regular mappings is due to Browder and Petryshyn [BP]. Some fixed point theorems for this class of mappings can be found in [Gr1], [Gr2] and references therein.
J. M. Ayerbe Toledano   +2 more
openaire   +1 more source

Regularity of the Asymptotic Variance

2012
In this last chapter of Part II, we show that the asymptotic variance of the central limit theorem derived in Chap. 5 depends smoothly on the density of particles of the exclusion process. The smooth dependence of the diffusion coefficient on the density, illustrated here in a simpler context, is a crucial step in the proof of the hydrodynamic limit of
Tomasz Komorowski   +2 more
openaire   +1 more source

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