Results 21 to 30 of about 13,472,146 (356)

On the Harnack inequality for non-divergence parabolic equations

open access: yesMathematics in Engineering, 2021
In this paper we propose an elementary proof of the Harnack inequality for linear parabolic equations in non-divergence form.
Ugo Gianazza, Sandro Salsa
doaj   +1 more source

The best constant of Sobolev inequality corresponding to anti-periodic boundary value problem

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2014
In this paper we establish the best constant of $\mathcal{L}^{p}$ Sobolev inequality for a function with anti-periodic boundary conditions. The best constant is expressed by $\mathcal{L}^q$ norm of $(M-1)$-th order Euler polynomial.
Jozef Kiseľák
doaj   +1 more source

Remarks on radial symmetry and monotonicity for solutions of semilinear higher order elliptic equations

open access: yesMathematics in Engineering, 2022
Half a century after the appearance of the celebrated paper by Serrin about overdetermined boundary value problems in potential theory and related symmetry properties, we reconsider semilinear polyharmonic equations under Dirichlet boundary conditions in
Filippo Gazzola, Gianmarco Sperone
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Influence of an L^{p}-perturbation on Hardy-Sobolev inequality with singularity a curve [PDF]

open access: yesOpuscula Mathematica, 2021
We consider a bounded domain \(\Omega\) of \(\mathbb{R}^N\), \(N \geq 3\), \(h\) and \(b\) continuous functions on \(\Omega\). Let \(\Gamma\) be a closed curve contained in \(\Omega\).
Idowu Esther Ijaodoro   +1 more
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Properties for fourth order discontinuous differential operators with eigenparameter dependent boundary conditions

open access: yesAIMS Mathematics, 2022
In this paper, a class of fourth order differential operators with eigenparameter-dependent boundary conditions and transmission conditions is considered.
Kun Li , Peng Wang
doaj   +1 more source

Efficient implementation of the nonequilibrium Green function method for electronic transport calculations [PDF]

open access: yes, 2009
An efficient implementation of the nonequilibrium Green function method combined with the densityfunctional theory, using localized pseudoatomic orbitals, is presented for electronic transport calculations of a system connected with two leads under a ...
T. Ozaki, K. Nishio, H. Kino
semanticscholar   +1 more source

New Hermite Hadamard type inequalities for twice differentiable convex mappings via Green function and applications

open access: yesMoroccan Journal of Pure and Applied Analysis, 2016
We derive some Hermite Hamamard type integral inequalities for functions whose second derivatives absolute value are convex. Some eror estimates for the trapezoidal formula are obtained. Finally, some natural applications to special means of real numbers
Erden Samet, Sarikaya Mehmet Zeki
doaj   +1 more source

Discrete Green's Functions

open access: yesJournal of Combinatorial Theory, Series A, 2000
The authors study discrete Green's functions and their relationship with discrete Laplace equations. They give different ways to construct such functions: Eigenfunctions or Cartesian product of graphs, among others.
Shing-Tung Yau, Fan Chung
openaire   +2 more sources

Melt strength and stretching ratio of low-density polyethylene composites loaded with nanoscale zinc oxide

open access: yesAdvanced Industrial and Engineering Polymer Research, 2020
The melt drawability including melt strength (MS) and stretching ratio (V) of the neat low-density polyethylene (LDPE) and the LDPE composites loaded with a nanometer zinc oxide (nano-ZnO) were measured using a melt spinning method in capillary extruding
Ji-Zhao Liang
doaj   +1 more source

BOUNDARY VALUE PROBLEM WITH SHIFT FOR A FRACTIONAL ORDER DELAY DIFFERENTIAL EQUATION [PDF]

open access: yesVestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2019
In this paper we prove existence and uniqueness theorem to a boundary value problem with shift for a fractional order ordinary delay differential equation. The solution of the problem is written out in terms of the Green function.
M. G. Mazhgikhova
doaj   +1 more source

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