Results 51 to 60 of about 140 (107)

Besov regularity for solutions of p-harmonic equations

open access: yesAdvances in Nonlinear Analysis, 2017
We establish the higher fractional differentiability of the solutions to nonlinear elliptic equations in divergence form, i.e., div⁡𝒜⁢(x,D⁢u)=div⁡F,{\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

Harnack's inequality for doubly nonlinear equations of slow diffusion type. [PDF]

open access: yesCalc Var Partial Differ Equ, 2021
Bögelein V   +3 more
europepmc   +1 more source

A fractional version of Rivière's GL(n)-gauge. [PDF]

open access: yesAnn Mat Pura Appl, 2022
Da Lio F, Mazowiecka K, Schikorra A.
europepmc   +1 more source

Normalized solutions for the Choquard equations with critical nonlinearities

open access: yesAdvances in Nonlinear Analysis
This study is concerned with the existence of normalized solutions for the Choquard equations with critical nonlinearities −Δu+λu=f(u)+(Iα∗∣u∣2α*)∣u∣2α*−2u,inRN,∫RN∣u∣2dx=a2,\left\{\begin{array}{l}-\Delta u+\lambda u=f\left(u)+\left({I}_{\alpha }\ast ...
Gao Qian, He Xiaoming
doaj   +1 more source

On well-posedness and decay of strong solutions for a coupled Cahn–Hilliard system

open access: yesAdvances in Nonlinear Analysis
In this paper, we consider the Cauchy problem for a coupled Cahn–Hilliard system in R3 ${\mathbb{R}}^{3}$ . This system can be seen as the stationary system of a novel thermodynamically consistent three-phase model.
Duan Ning, Wang Yinghao, Zhao Xiaopeng
doaj   +1 more source

Resolvent approaches to elliptic regularity in stationary Fokker–Planck equations

open access: yesDemonstratio Mathematica
This paper investigates the local regularity of solutions to stationary Fokker–Planck equations on an open set U⊂Rd $U\subset {\mathbb{R}}^{d}$ with d ≥ 2.
Lee Haesung
doaj   +1 more source

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