Results 51 to 60 of about 77,305 (216)

Symmetry of standing waves for two kinds of fractional Hardy-Schrödinger equations

open access: yesAlexandria Engineering Journal, 2021
In this paper, we consider two kinds of nonlinear Schrödinger equations with the fractional Laplacian and Hardy potential (λ|x|s ...
Guotao Wang   +3 more
doaj   +1 more source

The Degradation of Access‐Based Business Models: Customer Misbehavior and Shared Mobility

open access: yesBusiness Strategy and the Environment, EarlyView.
ABSTRACT Access‐based services are considered one of the strategies to embed sustainability in business models. Yet, because the evolution of these business models has been overlooked, we do not know whether their promise to create triple value is sustained.
Andres Camacho, Carmen Valor
wiley   +1 more source

An Improved Discrete Hardy Inequality [PDF]

open access: yesThe American Mathematical Monthly, 2018
We improve the classical discrete Hardy inequality \begin{equation*}\label{1} \sum _{n=1}^{\infty }a_{n}^{2}\geq \left({\frac {1}{2}}\right)^{2} \sum _{n=1}^{\infty }\left({\frac {a_{1}+a_{2}+\cdots +a_{n}}{n}}\right)^{2}, \end{equation*} where $\{a_n\}_{n=1}^\infty$ is any sequence of non-negative real numbers.
Keller, Matthias (Prof. Dr.)   +2 more
openaire   +2 more sources

The Benjamin–Ono Equation in the Zero‐Dispersion Limit for Rational Initial Data: Generation of Dispersive Shock Waves

open access: yesCommunications on Pure and Applied Mathematics, EarlyView.
ABSTRACT The leading‐order asymptotic behavior of the solution of the Cauchy initial‐value problem for the Benjamin–Ono equation in L2(R)$L^2(\mathbb {R})$ is obtained explicitly for generic rational initial data u0$u_0$. An explicit asymptotic wave profile uZD(t,x;ε)$u^\mathrm{ZD}(t,x;\epsilon)$ is given, in terms of the branches of the multivalued ...
Elliot Blackstone   +3 more
wiley   +1 more source

Weighted discrete Hardy's inequalities

open access: yesUkrains’kyi Matematychnyi Zhurnal, 2023
UDC 517.5 We give a short proof of a weighted version of the discrete Hardy inequality. This includes the known case of classical monomial weights with optimal constant. The proof is based on the ideas of the short direct proof given recently in [P. Lefèvre, Arch. Math. (Basel), <strong>114</strong>, № 2, 195–198 (2020)].
openaire   +1 more source

For the Few, Not the Many: Tracing the Residualist and Compensatory Nature of British Energy Support

open access: yesEnvironmental Policy and Governance, EarlyView.
ABSTRACT Drawing on extensive documentary analysis, this article traces the evolution of British energy policy support since World War II. It analyses shifts in policy design through two interpretive lenses: eligibility (residualist vs. universalist) and function (compensatory vs. preventive).
T. M. Croon   +4 more
wiley   +1 more source

The refinement and generalization of Hardy’s inequality in Sobolev space

open access: yesJournal of Inequalities and Applications, 2018
In this paper, we refine the proof of Hardy’s inequality in (Evans in Partial Differential Equations, 2010, Hardy in Inequalities, 1952) and extend Hardy’s inequality from two aspects. That is to say, we extend the integral estimation function from u|x| $
Xiaomin Xue, Fushan Li
doaj   +1 more source

A reverse Hardy–Hilbert-type integral inequality involving one derivative function

open access: yesJournal of Inequalities and Applications, 2020
In this article, by using weight functions, the idea of introducing parameters, the reverse extended Hardy–Hilbert integral inequality and the techniques of real analysis, a reverse Hardy–Hilbert-type integral inequality involving one derivative function
Qian Chen, Bicheng Yang
doaj   +1 more source

Hardy's inequality for fractional powers of the sublaplacian on the Heisenberg group

open access: yes, 2016
We prove Hardy inequalities for the conformally invariant fractional powers of the sublaplacian on the Heisenberg group $\mathbb{H}^n$. We prove two versions of such inequalities depending on whether the weights involved are non-homogeneous or ...
Roncal, L., Thangavelu, S.
core   +1 more source

Sharp Hardy–Sobolev inequalities

open access: yesComptes Rendus. Mathématique, 2004
Let Ω be a smooth bounded domain in RN, N⩾3. We show that Hardy's inequality involving the distance to the boundary, with best constant (14), may still be improved by adding a multiple of the critical Sobolev norm.
Filippas, S.   +2 more
openaire   +2 more sources

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