Results 11 to 20 of about 2,221 (99)

On the solutions to p-Poisson equation with Robin boundary conditions when p goes to +∞

open access: yesAdvances in Nonlinear Analysis, 2022
We study the behaviour, when p→+∞p\to +\infty , of the first p-Laplacian eigenvalues with Robin boundary conditions and the limit of the associated eigenfunctions.
Amato Vincenzo   +3 more
doaj   +1 more source

Eigenvalue inequalities for the buckling problem of the drifting Laplacian of arbitrary order

open access: yesAdvances in Nonlinear Analysis, 2022
In this paper, we investigate the buckling problem of the drifting Laplacian of arbitrary order on a bounded connected domain in complete smooth metric measure spaces (SMMSs) supporting a special function, and successfully obtain a general inequality for
Du Feng   +3 more
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

Asymptotic behaviour of resonance eigenvalues of the Schrödinger operator with a matrix potential [PDF]

open access: yes, 2015
We will discuss the asymptotic behaviour of the eigenvalues of Schr\"{o}dinger operator with a matrix potential defined by Neumann boundary condition in $L_2^m(F)$, where $F$ is $d$-dimensional rectangle and the potential is a $m \times m$ matrix with $m\
Sedef Karakilicc   +2 more
semanticscholar   +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

Spectral optimization for singular Schrödinger operators

open access: yes, 2020
For several classes of singular Schrödinger operators which can be formally written as −Δ−αδ (x−Γ) we discuss the problem of optimization of their principal eigenvalue with respect to the shape of the interaction support Γ .
P. Exner
semanticscholar   +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

Lower bound for the ground state energy of the no-pair Hamiltonian [PDF]

open access: yes, 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

Lieb-Thirring inequalities for Schr\"odinger operators with complex-valued potentials [PDF]

open access: yes, 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

On continuous and discrete Hardy inequalities

open access: yes, 2016
. We obtain a number of Hardy type inequalities for continuous and discrete Do you want maybe to add a dedicatory in memory of Prof. Safarov? operators. Mathematics Subject Classification (2010). Primary: 35P15; Secondary: 81Q10.
L. Kapitanski, A. Laptev
semanticscholar   +1 more source

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