Results 61 to 70 of about 696 (83)

The strong maximum principle for Schrödinger operators on fractals

Demonstratio Mathematica, 2019
We prove a strong maximum principle for Schrödinger operators defined on a class of postcritically finite fractal sets and their blowups without boundary.
Ionescu Marius V., Okoudjou Kasso A., Rogers Luke G.   +2 more
doaj   +1 more source

Nonlinear elliptic unilateral problems with measure data in the anisotropic Sobolev space

Nonautonomous Dynamical Systems
In this article, we consider a nonlinear elliptic unilateral equation whose model is −∑i=1N∂iσi(x,u,∇u)+L(x,u,∇u)+N(x,u,∇u)=μ−divϕ(u)inΩ.-\mathop{\sum }\limits_{i=1}^{N}{\partial }^{i}{\sigma }_{i}\left(x,u,\nabla u)+L\left(x,u,\nabla u)+N\left(x,u ...
Bouzelmate Arij, El Haji Badr, Lamtarah Adnan   +2 more
doaj   +1 more source

On subsolutions and concavity for fully nonlinear elliptic equations

Advanced Nonlinear Studies
Subsolutions and concavity play critical roles in classical solvability, especially a priori estimates, of fully nonlinear elliptic equations. Our first primary goal in this paper is to explore the possibility to weaken the concavity condition.
Guan Bo
doaj   +1 more source

Infinity-Harmonic Potentials and Their Streamlines

, 2019
We consider certain solutions of the Infinity-Laplace Equation in planar convex rings. Their ascending streamlines are unique while the descending ones may bifurcate.
Lindgren, Erik, Lindqvist, Peter
core  

An Agmon-Allegretto-Piepenbrink principle for Schrödinger operators. [PDF]

Rev R Acad Cienc Exactas Fis Nat A Mat, 2022
Buccheri S, Orsina L, Ponce AC.
europepmc   +1 more source

Maximum principles for Laplacian and fractional Laplacian with critical integrability

, 2019
In this paper, we study maximum principles for Laplacian and fractional Laplacian with critical integrability. We first consider $-\Delta u(x)+c(x)u(x)\geq 0$ in $B_1$ where $c(x)\in L^{p}(B_1)$, $B_1\subset \mathbf{R}^n$. As is known that $p=\frac{n}{2}$
Lü, Yingshu
core  

Operator compression with deep neural networks. [PDF]

Adv Contin Discret Model, 2022
Kröpfl F, Maier R, Peterseim D.
europepmc   +1 more source

A New H ² Regularity Condition of the Solution to Dirichlet Problem of the Poisson Equation and Its Applications. [PDF]

Acta Math Sin Engl Ser, 2020
Gao FC, Lai MJ.
europepmc   +1 more source

Spectral shift functions and Dirichlet-to-Neumann maps. [PDF]

Math Ann, 2018
Behrndt J, Gesztesy F, Nakamura S.
europepmc   +1 more source

Variable-coefficient parabolic theory as a high-dimensional limit of elliptic theory. [PDF]

Calc Var Partial Differ Equ
Davey B, Smit Vega Garcia M.
europepmc   +1 more source