On Aharonov–Bohm Operators with Two Colliding Poles [PDF]
Advanced Nonlinear Studies, 2017 We consider Aharonov–Bohm operators with two poles and prove sharp asymptotics for simple eigenvalues as the poles collapse at an interior point out of nodal lines of the limit eigenfunction.
Abatangelo Laura +2 more
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Lower bound for the ground state energy of the no-pair Hamiltonian [PDF]
, 1997 A lower bound for the ground state energy of a one particle relativistic Hamiltonian - sometimes called no-pair operator - is provided.Comment: 5 pages, 1 figure, 1 table, Latex2e (amssymb,amsmath ...
Bethe +15 more
core +2 more sources
On the maximal mean curvature of a smooth surface [PDF]
, 2016 Given a smooth simply connected planar domain, the area is bounded away from zero in terms of the maximal curvature alone. We show that in higher dimensions this is not true, and for a given maximal mean curvature we provide smooth embeddings of the ball
Ferone, Vincenzo +2 more
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Lieb-Thirring inequalities for Schr\"odinger operators with complex-valued potentials [PDF]
, 2006 Inequalities are derived for power sums of the real part and the modulus of the eigenvalues of a Schr\"odinger operator with a complex-valued potential.Comment: 9 pages; typos ...
A.A. Abramov +6 more
core +3 more sources
Maximum Principles and ABP Estimates to Nonlocal Lane–Emden Systems and Some Consequences
Advanced 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
Almost all Steiner triple systems are almost resolvable
Forum 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
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On the smallest Laplace eigenvalue for naturally reductive metrics on compact simple Lie groups [PDF]
, 2019 Eldredge, Gordina and Saloff-Coste recently conjectured that, for a given compact connected Lie group $G$, there is a positive real number $C$ such that $\lambda_1(G,g)\operatorname{diam}(G,g)^2\leq C$ for all left-invariant metrics $g$ on $G$.
Lauret, Emilio Agustin
core +2 more sources
Spectrum of the Laplacian in narrow tubular neighbourhoods of hypersurfaces with combined Dirichlet and Neumann boundary conditions [PDF]
, 2013 We consider the Laplacian in a domain squeezed between two parallel hypersurfaces in Euclidean spaces of any dimension, subject to Dirichlet boundary conditions on one of the hypersurfaces and Neumann boundary conditions on the other.
Krejcirik, David
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Trace Hardy--Sobolev--Mazy'a inequalities for the half fractional Laplacian [PDF]
, 2014 In this work we establish trace Hardy-Sobolev-Maz'ya inequalities with best Hardy constants, for weakly mean convex domains. We accomplish this by obtaining a new weighted Hardy type estimate which is of independent inerest. We then produce Hardy-Sobolev-
Filippas, Stathis +2 more
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Multiplicity solutions of a class fractional Schrödinger equations
Open 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
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