Results 11 to 20 of about 75 (69)

Equitable colourings of Borel graphs

open access: yesForum of Mathematics, Pi, 2021
Hajnal and Szemerédi proved that if G is a finite graph with maximum degree $\Delta $ , then for every integer $k \geq \Delta +1$ , G has a proper colouring with k colours in which every two colour classes differ in size at most by $1$ ;
Anton Bernshteyn, Clinton T. Conley
doaj   +1 more source

Strict Positivity for the Principal Eigenfunction of Elliptic Operators with Various Boundary Conditions

open access: yesAdvanced Nonlinear Studies, 2020
We consider elliptic operators with measurable coefficients and Robin boundary conditions on a bounded domain Ω⊂ℝd{\Omega\subset\mathbb{R}^{d}} and show that the first eigenfunction v satisfies v⁢(x)≥δ>0{v(x)\geq\delta>0} for all x∈Ω¯{x\in\overline ...
Arendt Wolfgang   +2 more
doaj   +1 more source

Maximum Principles and ABP Estimates to Nonlocal Lane–Emden Systems and Some Consequences

open access: yesAdvanced Nonlinear Studies, 2021
This paper deals with maximum principles depending on the domain and ABP estimates associated to the following Lane–Emden system involving fractional Laplace operators:
Leite Edir Junior Ferreira
doaj   +1 more source

Existence of spectral gaps, covering manifolds and residually finite groups [PDF]

open access: yes, 2008
33 pages, 2 figures.-- MSC1991 codes: 58J50, 35P15, 20E26, 57M10.-- Dedicated to Volker Enß on his 65th birthday.MR#: MR2400010 (2008m:58072)Zbl#: Zbl 1146.58021In the present paper we consider Riemannian coverings (X,g) → (M,g) with residually finite ...
Post, Olaf   +2 more
core   +1 more source

Almost all Steiner triple systems are almost resolvable

open access: yesForum of Mathematics, Sigma, 2020
We show that for any n divisible by 3, almost all order-n Steiner triple systems admit a decomposition of almost all their triples into disjoint perfect matchings (that is, almost all Steiner triple systems are almost resolvable).
Asaf Ferber, Matthew Kwan
doaj   +1 more source

Two-dimensional Schrödinger operators with point interactions: Threshold expansions, zero modes and Lp-boundedness of wave operators [PDF]

open access: yes, 2019
Mathematics Subject Classiffcation 2010: 35P15, 35J10, 47A40 ...
Yajima, Kenji   +2 more
core   +1 more source

Multiplicity solutions of a class fractional Schrödinger equations

open access: yesOpen Mathematics, 2017
In this paper, we study the existence of nontrivial solutions to a class fractional Schrödinger equations (−Δ)su+V(x)u=λf(x,u)inRN, $$ {( - \Delta )^s}u + V(x)u = \lambda f(x,u)\,\,{\rm in}\,\,{\mathbb{R}^N}, $$ where (−Δ)su(x)=2limε→0∫RN∖Bε(X)u(x)−u(y ...
Jia Li-Jiang   +3 more
doaj   +1 more source

A covering approach to eigenvalue bounds for the fractional p-Laplacian

open access: yesDemonstratio Mathematica
We study Weyl-type lower bounds for the variational eigenvalues associated with a weighted fractional p-Laplacian on bounded domains with Lipschitz boundary in a critical (limit) case.
Hasanov Mahir
doaj   +1 more source

Front instability in a condensed phase combustion model

open access: yesAdvances in Nonlinear Analysis, 2015
We consider a condensed phase (or solid) combustion model and its linearization around the travelling front solution. We construct an Evans function to characterize the eigenvalues of the linearized problem.
Bonnet Alexis   +2 more
doaj   +1 more source

Estimates of the Laplacian Spectrum and Bounds of Topological Invariants for Riemannian Manifolds with Boundary II

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2020
We present some estimate of the Laplacian Spectrum and of Topological Invariants for Riemannian manifold with pinched sectional curvature and with non-empty and non-convex boundary with finite injectivity radius. These estimates do not depend directly on
Sabatini Luca
doaj   +1 more source

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