Sharp Gagliardo–Nirenberg inequalities in fractional Coulomb–Sobolev spaces
We prove scaling invariant Gagliardo–Nirenberg type inequalities of the form\begin
{equation*}\|\varphi\| _ {L^ p (\mathbb {R}^ d)}\le C\|\varphi\| _ {\dot H^{s}(\mathbb {R} …
{equation*}\|\varphi\| _ {L^ p (\mathbb {R}^ d)}\le C\|\varphi\| _ {\dot H^{s}(\mathbb {R} …
Limit profiles for singularly perturbed Choquard equations with local repulsion
Z Liu, V Moroz - Calculus of Variations and Partial Differential …, 2022 - Springer
We study Choquard type equation of the form where N≥ 3, I α is the Riesz potential with
α∈(0, N), p> 1, q> 2 and ε≥ 0. Equations of this type describe collective behaviour of self …
α∈(0, N), p> 1, q> 2 and ε≥ 0. Equations of this type describe collective behaviour of self …
Critical conditions and asymptotics for discrete systems of the Hardy-Littlewood-Sobolev type
Y Lei, Y Li, T Tang - 2023 - projecteuclid.org
In this paper, we study the Euler-Lagrange system associated with the extremal sequences
of the discrete Hardy-Littlewood-Sobolev inequality with the Sobolev-type critical conditions …
of the discrete Hardy-Littlewood-Sobolev inequality with the Sobolev-type critical conditions …
Ground states of a nonlocal variational problem and Thomas-Fermi limit for the Choquard equation
We study nonnegative optimizers of a Gagliardo-Nirenberg type inequality $$\iint_ {\mathbb
{R}^ N\times\mathbb {R}^ N}\frac {| u (x)|^ p\,| u (y)|^ p}{| xy|^{N-\alpha}} dx\, dy\le C\Big (\int …
{R}^ N\times\mathbb {R}^ N}\frac {| u (x)|^ p\,| u (y)|^ p}{| xy|^{N-\alpha}} dx\, dy\le C\Big (\int …
Indirect Coulomb energy for two-dimensional atoms
RD Benguria, M Tušek - Journal of mathematical physics, 2012 - pubs.aip.org
Indirect Coulomb energy for two-dimensional atoms | Journal of Mathematical Physics | AIP
Publishing Skip to Main Content Umbrella Alt Text Umbrella Alt Text Close Publishers AIP …
Publishing Skip to Main Content Umbrella Alt Text Umbrella Alt Text Close Publishers AIP …
On some open problems in many-electron theory
V Bach, L Delle Site - Many-Electron Approaches in Physics, Chemistry …, 2014 - Springer
On Some Open Problems in Many-Electron Theory | SpringerLink Skip to main content
Advertisement SpringerLink Account Menu Find a journal Publish with us Track your research …
Advertisement SpringerLink Account Menu Find a journal Publish with us Track your research …
One-dimensional Lieb–Oxford bounds
A Laestadius, FM Faulstich - The Journal of Chemical Physics, 2020 - pubs.aip.org
We investigate and prove Lieb–Oxford bounds in one dimension by studying convex
potentials that approximate the ill-defined Coulomb potential. A Lieb–Oxford inequality …
potentials that approximate the ill-defined Coulomb potential. A Lieb–Oxford inequality …
[PDF][PDF] EULER–LAGRANGE EQUATIONS ASSOCIATED WITH EXTREMAL FUNCTIONS OF SEVERAL NONLOCAL INEQUALITIES
Y Li - MATHEMATICAL INEQUALITIES & APPLICATIONS, 2020 - files.ele-math.com
This paper is concerned with the extremal functions of several kinds of non-local
inequalities, including the Hardy-Littlewood-Sobolev inequality, fractional Gagliardo …
inequalities, including the Hardy-Littlewood-Sobolev inequality, fractional Gagliardo …
Stability of matter
RD Benguria - Spectral Analysis of Quantum Hamiltonians: Spectral …, 2012 - Springer
Stability of Matter Page 1 Operator Theory: Advances and Applications, Vol. 224, 25–54 c⃝
2012 Springer Basel Stability of Matter Rafael D. Benguria Abstract. These are extended notes …
2012 Springer Basel Stability of Matter Rafael D. Benguria Abstract. These are extended notes …
[PDF][PDF] Cronfa-Swansea University Open Access Repository
Background: Total immunoglobulin E (IgE) is a therapeutic target in allergic diseases. DNA
48 methylation in white blood cells (WBCs) was associated with total IgE in an epigenome …
48 methylation in white blood cells (WBCs) was associated with total IgE in an epigenome …