Results 11 to 20 of about 75 (69)
Equitable colourings of Borel graphs
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
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
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Maximum Principles and ABP Estimates to Nonlocal Lane–Emden Systems and Some Consequences
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
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Existence of spectral gaps, covering manifolds and residually finite groups [PDF]
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
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Almost all Steiner triple systems are almost resolvable
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
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Two-dimensional Schrödinger operators with point interactions: Threshold expansions, zero modes and Lp-boundedness of wave operators [PDF]
Mathematics Subject Classiffcation 2010: 35P15, 35J10, 47A40 ...
Yajima, Kenji +2 more
core +1 more source
Multiplicity solutions of a class fractional Schrödinger equations
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
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A covering approach to eigenvalue bounds for the fractional p-Laplacian
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
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Front instability in a condensed phase combustion model
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
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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
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