Results 91 to 100 of about 295 (155)

Local Elliptic Regularity for the Dirichlet Fractional Laplacian

Advanced Nonlinear Studies, 2017
We prove the Wloc2⁢s,p${W_{{\mathrm{loc}}}^{2s,p}}$ local elliptic regularity of weak solutions to the Dirichlet problem associated with the fractional Laplacian on an arbitrary bounded open set of ℝN${\mathbb{R}^{N}}$. The key tool consists in analyzing
Biccari Umberto, Warma Mahamadi, Zuazua Enrique   +2 more
doaj   +1 more source

Continuity of the temperature in a multi-phase transition problem. [PDF]

Math Ann, 2022
Gianazza U, Liao N.
europepmc   +1 more source

Singular Solutions of the Capillary Problem

, 1998
The problem of determining the surface interface of fluid partly filling a semi-infinite capillary tube closed at one end is considered, in the absence of gravity.
Robert Weston Neel, Robert Finn
core  

A new regularity criterion for weak solutions to the 3D micropolar fluid flows in terms of the pressure

, 2020
This note aims to giving a new regularity criterion for weak solutions to the three-dimensional micropolar fluid flows by imposing a critical growth condition on the field of pressure.
Thera, Michel, Gala, Sadek, Ragusa, Maria Alessandra   +2 more
core  

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., 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, Giova Raffaella, Passarelli di Napoli Antonia   +2 more
doaj   +1 more source

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

Calc Var Partial Differ Equ, 2021
Bögelein V, Heran A, Schätzler L, Singer T.   +3 more
europepmc   +1 more source

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

Sharp Trace Regularity for the Solutions of the Equations of Dynamic Elasticity

, 1998
Sharp trace regularity results are obtained for the system of linear elasticity, relating the norm of the tangential derivative of the solution on the boundary to the norm of the time derivative.
Mary Ann Horn
core  

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

Normalized solutions for the Choquard equations with critical nonlinearities

Advances 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