NIRS Hemodynamic Response to Methylphenidate in Children with Attention Aeficit Hyperactivity Disorder: First Administration, Titration Phase and Associations with Clinical Severit... by A. Crippa, S. Grazioli, E. Rosi, M. Mauri, F. Villa, E. Maggioni, V. Diwadkar, P. Brambilla, M. Pozzi, M. Molteni, M. Nobile

“…We investigated the relationship among the difference between NIRS activation at W2 and W1 (Delta1) and W3 and W2 (Delta2), for each subject, task condition and brain region. …”
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Improvement of Restless Legs Syndrome Under Treatment of Cancer Pain With Morphine and Fentanyl by Jan Gärtner, Karin Jaroslawski, Gerhild Becker, Christopher Boehlke

“…In the years before, pharmacological therapies with dopamine-agonists and delta-2-alpha calcium channel ligands were initiated, but failed to relieve the RLS. …”
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An update in improving erectile dysfunction therapy in Indonesia by using Li-ESWT and tadalafil combination — vascular endothelial growth factor and peak systolic velocity comparis... by Androniko Setiawan, Andrian Japari, Rosy Nur Febriani, Silvia Werdhy Lestari, Tjahjo Djojo Tanojo, Maria Paulina Budyandini Dyah Pramesti, Agustinus Agustinus, Mu-hammad Hidayat Surya Atmaja, Munawaroh Fitriah, Budi Utomo

“…Results: The experimental group showed significant improvement compared to the control group in EHS (delta) 2 (1–2) vs 1 (0–2); IIEF-5 (delta) 7 (3–15) vs 4 (0–11); PSV (delta) 2.60 ± 1.34 vs 1.28 ± 1.86; and VEGF (delta) 26.69 ± 24.23 vs 6.32 ± 25.43. …”
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Holography of massive M2-brane theory: non-linear extension by O-Kab Kwon, Dongmin Jang, Yoonbai Kim, D. D. Tolla

“…For the LLM solutions which are represented by square-shaped Young diagrams, we compare the vacuum expectation value obtained from the holographic procedure with the result obtained from the field theory, which is given by $$\langle \mathcal{O}^{(\Delta =2)}\rangle =\sqrt{k}N^{\frac{3}{2}}f_{(\Delta =2)}+\mathcal{O}(N)$$ ⟨O(Δ=2)⟩=kN32f(Δ=2)+O(N) , where $$f_{\Delta }$$ fΔ is independent of N. …”
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Pola akumulasi dan karakteristik sedimen di perairan delta sungai Bodri, Kabupaten Kendal, Jawa Tengah=Accumulation pattern and Sediment characteristics in the bodri river delta Ke... by Perpustakaan UGM, i-lib

“…ABSTRACT: The problem of this research are (1) the accumulation pattern of delta sediment in the Bodri river delta, (2) the sediment characteristics of the Bodri river delta, and (3) the dominant oceanographic factors that influence to the accummulation pattern of the sediment in the Bodri river delta. …”

Nonrepetitive edge-colorings of trees by A. Kündgen, T. Talbot

“…We improve on the best known general upper bound of $4\Delta-4$ for the Thue edge-chromatic number of trees of maximum degree $\Delta$ due to Alon, Grytczuk, Ha{\l}uszczak and Riordan (2002) by providing a simple nonrepetitive edge-coloring with $3\Delta-2$ colors.…”
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Radial solutions of singular nonlinear biharmonic equations and applications to conformal geometry by P. J. McKenna, Wolfgang Reichel

“…Positive entire solutions of the singular biharmonic equation $Delta^2 u + u^{-q}=0$ in $mathbb{R}^n$ with $q>1$ and $ngeq 3$ are considered. …”
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On the oscillation of third order half-linear neutral type difference equations by Ethiraju Thandapani, M. Vijaya, Tongxing Li

“…In this paper, the authors study the oscillatory properties of third order quasilinear neutral difference equation of the form $$\Delta(a_{n}(\Delta^{2}(x_{n} + p_{n}x_{n-\delta}))^{\alpha}) + q_{n} {x^{\alpha}_{n-\tau}} = 0,\quad n\geq 0, \tag{E}$$ where $\alpha > 0, 0\leq p_{n}\leq p < \infty. $ By using Riccati transformation we estabilish some new sufficient conditions which ensure that every solution of equation (E) is either oscillatory or converges to zero. …”
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Modification of the enzyme mismatch cleavage method using T7 endonuclease I and silver staining by Richard James Mean, Alkis Pierides, C. Constantinou Deltas, Michael Koptides

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Multiple recurrence and large intersections for abelian group actions by Ethan Ackelsberg, Vitaly Bergelson, Andrew Best

“…But $\|f\|_2^2=\sum_{i,j=0}^r|A_i\cap A_j|$, which implies that $\sum_{i\ne j}|A_i\cap A_j|\geq r^2\delta^2-r\delta$. By averaging, for large $r$ this gives us $i\ne j$ such that $|A_i\cap A_j|\geq\delta^2-\epsilon$, and then by the measure-preserving property we obtain $n$ such that $|A\cap T^{-n}A|\geq\delta^2-\epsilon$. …”
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Nonlinear fourth order problems with asymptotically linear nonlinearities by Abir Amor Ben Ali, Makkia Dammak

“…We investigate some nonlinear elliptic problems of the form \Delta^2v + \sigma(x) v= h(x,v)\quadin \Omega,\quad v=\Delta v=0 \quadon \partial\Omega, \eqno({\rm P}) where $\Omega$ is a regular bounded domain in $\mathbb{R}^N$, $N\geq2$, $\sigma(x)$ a positive function in $L^{\infty}(\Omega)$, and the nonlinearity $h(x,t)$ is indefinite. …”
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Normalized solutions for the discrete Schrödinger equations by Qilin Xie, Huafeng Xiao

“…Abstract In the present paper, we consider the existence of solutions with a prescribed l 2 $l^{2}$ -norm for the following discrete Schrödinger equations, { − Δ 2 u k − 1 − f ( u k ) = λ u k k ∈ Z , ∑ k ∈ Z | u k | 2 = α 2 , $$ \textstyle\begin{cases} -\Delta ^{2} u_{k-1}-f(u_{k})= \lambda u_{k} \quad k\in \mathbb{Z}, \\ \sum_{k\in \mathbb{Z}} \vert u_{k} \vert ^{2}=\alpha ^{2}, \end{cases} $$ where Δ 2 u k − 1 = u k + 1 + u k − 1 − 2 u k $\Delta ^{2} u_{k-1}=u_{k+1}+u_{k-1}-2u_{k}$ , f ∈ C ( R ) $f\in C(\mathbb{R}) $ , α is a fixed constant, and λ ∈ R $\lambda \in \mathbb{R}$ arises as a Lagrange multiplier. …”
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Existence and stability results of a plate equation with nonlinear damping and source term by Mohammad M. Al-Gharabli, Adel M. Al-Mahdi

“…The main goal of this work is to investigate the following nonlinear plate equation $ u_{tt}+\Delta ^2 u +\alpha(t) g(u_t) = u \vert u\vert ^{\beta}, $ which models suspension bridges. …”
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Concentration phenomena for fourth-order elliptic equations with critical exponent by Mokhless Hammami

“…We consider the nonlinear equation $$ Delta ^2u= u^{frac{n+4}{n-4}}-varepsilon u $$ with $u$ greater than 0 in $Omega$ and $u=Delta u=0$ on $partialOmega$. …”
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Fan realizations of type $A$ subword complexes and multi-associahedra of rank 3 by Nantel Bergeron, Cesar Ceballos, Jean-Philippe Labbé

“…This provides complete simplicial fan realizations of simplicial multi-associahedra $\Delta_{2k+4,k}$, whose facets are in correspondence with $k$-triangulations of a convex $(2k+4)$-gon. …”
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The existence of nontrivial solution of a class of Schrödinger–Bopp–Podolsky system with critical growth by Jie Yang, Haibo Chen, Senli Liu

“…. $$ \textstyle\begin{cases} -\Delta u+V(x) u+\phi u=\lambda f(u)+ \vert u \vert ^{4}u,& \text{in } \mathbb{R}^{3}, \\ -\Delta \phi +\Delta ^{2}\phi = u^{2}, & \text{in } \mathbb{R}^{3}. …”
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Existence of entropy solutions in Musielak Orlicz spaces via a sequence of penalized equations by Mhamed Elmassoudi, Ahmed Aberqi, Jaouad Bennouna

“….$$ Where $A$ is a pseudomonotone operator of Leray-Lions type defined in the inhomogeneous Musielak-Orlicz space $W_{0}^{1,x}L_{\varphi}(Q_{T})$, $H(x,t,s,\xi)$ and $\phi(x,t,s)$ are only assumed to be Crath\'eodory's functions satisfying only the growth conditions prescribed by Musielak-Orlicz functions $\varphi$ and $\psi$ which inhomogeneous and does not satisfies $\Delta_2$-condition. The data $f$ and $u_{0}$ are still taken in $L^{1}(Q_T)$ and $L^{1}(\Omega)$. …”
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Positive solutions to nonlinear second-order three-point boundary-value problems for difference equation with change of sign by Xiaoshuang Li, Xiaoshuang Han, Chunli Wang

“…In this paper we investigate the existence of positive solution to the discrete second-order three-point boundary-value problem $$displaylines{ Delta^2 x_{k-1}+ h(k) f(x_k)=0, quad k in [1, n], cr x_0 =0, quad a x_l = x_{n+1}, }$$ where $n in [2, infty)$, $l in [1, n]$, $0 < a < 1$, $(1-a)l geq 2$, $(1+a)lleq n+1$, $f in C(mathbb{R}^+,mathbb{R}^+)$ and $h(t)$ is a function that may change sign on $[1, n]$. …”
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ON HOMOMORPHISM GRAPHS by Sebastian Brandt, Yi-Jun Chang, Jan Grebík, Christoph Grunau, Václav Rozhoň, Zoltán Vidnyánszky

“…In particular, strengthening the main result of [TV21], we show that for $\Delta>2$ , it is impossible to give a simple characterization of acyclic $\Delta $ -regular Borel graphs with Borel chromatic number at most $\Delta $ : such graphs form a $\mathbf {\Sigma }^1_2$ -complete set. …”
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A Convergence Rate for Extended-Source Internal DLA in the Plane by Darrow, David

“…We show that, if $$\delta $$ δ is the lattice size, fluctuations of the IDLA occupied set are at most of order $$\delta ^{3/5}$$ δ 3 / 5 from its scaling limit, with probability at least $$1-e^{-1/\delta ^{2/5}}$$ 1 - e - 1 / δ 2 / 5 .…”
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