Results 41 to 50 of about 71 (71)

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

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

Existence, uniqueness, localization and minimization property of positive solutions for non-local problems involving discontinuous Kirchhoff functions

Advances in Nonlinear Analysis
Let Ω⊂Rn\Omega \subset {{\bf{R}}}^{n} be a smooth bounded domain. In this article, we prove a result of which the following is a by-product: Let q∈]0,1[q\in ]0,1{[}, α∈L∞(Ω)\alpha \in {L}^{\infty }\left(\Omega ), with α>0\alpha \gt 0, and k∈Nk\in {\bf{N}}
Ricceri Biagio
doaj   +1 more source

Normalized solutions for Sobolev critical fractional Schrödinger equation

Advances in Nonlinear Analysis
In the present study, we investigate the existence of the normalized solutions to Sobolev critical fractional Schrödinger equation: (−Δ)su+λu=f(u)+∣u∣2s*−2u,inRN,(Pm)∫RN∣u∣2dx=m2,\hspace{14em}\left\{\begin{array}{ll}{\left(-\Delta )}^{s}u+\lambda u=f ...
Li Quanqing, Nie Jianjun, Wang Wenbo, Zhou Jianwen   +3 more
doaj   +1 more source

Operator compression with deep neural networks. [PDF]

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

Sharp asymptotic expansions of entire large solutions to a class of k-Hessian equations with weights

Advances in Nonlinear Analysis
It is well-known that it is a quite interesting topic to study the asymptotic expansions of entire large solutions of nonlinear elliptic equations near infinity. But very little is done.
Wan Haitao
doaj   +1 more source

On fire whirls and Popov’s equation

European Journal of Applied Mathematics
A fire whirl is a swirling flow with a burning core. A very simple model of a fire whirl is used, consisting of a linear second-order elliptic partial differential equation (PDE) for a stream function, extending established models for axisymmetric ...
Paul A. Martin, Alex T. Skvortsov
doaj   +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