RETRACTED ARTICLE: LRPPRC regulates malignant behaviors, protects mitochondrial homeostasis, mitochondrial function in osteosarcoma and derived cancer stem-like cells by Ziyi Zhao, Yingwei Sun, Jing Tang, Yuting Yang, Xiaochao Xu

“…Results we found that LRPPRC was highly expressed in several osteosarcoma cell lines and that LRPPRC knockdown inhibited malignant behaviors, including proliferation, invasion, colony formation and tumor formation, in MG63 and U2OS cells. Enriched CSCs derived from MG63 and U2OS cells presented upregulated LRPPRC levels compared to parental cells (PCs), and LRPPRC knockdown markedly decreased the sphere-forming capacity. …”
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Cusped and Smooth Solitons for the Generalized Camassa-Holm Equation on the Nonzero Constant Pedestal by Dong Li, Yongan Xie, Shengqiang Tang

“…We investigate the traveling solitary wave solutions of the generalized Camassa-Holm equation ut - uxxt + 3u2ux=2uxuxx + uuxxx on the nonzero constant pedestal limξ→±∞⁡uξ=A. …”
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Multiple Sign-Changing Solutions for Kirchhoff-Type Equations by Xingping Li, Xiumei He

“…We study the following Kirchhoff-type equations -a+b∫Ω∇u2dxΔu+Vxu=fx,u, in Ω, u=0, in ∂Ω, where Ω is a bounded smooth domain of RN  (N=1,2,3), a>0, b≥0, f∈C(Ω¯×R,R), and V∈C(Ω¯,R). …”
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Positive Solutions for a Nonhomogeneous Kirchhoff Equation with the Asymptotical Nonlinearity in R3 by Ling Ding, Lin Li, Jin-Ling Zhang

“…We study the following nonhomogeneous Kirchhoff equation: -(a+b∫R3‍|∇u|2dx)Δu+u=k(x)f(u)+h(x),  x∈R3,  u∈H1(R3),  u>0,  x∈R3, where f is asymptotically linear with respect to t at infinity. …”
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Existence of Nontrivial Solutions for Generalized Quasilinear Schrödinger Equations with Critical Growth by Quanqing Li, Kaimin Teng, Xian Wu

“…We study the following generalized quasilinear Schrödinger equations with critical growth -divg2u∇u+gug′u∇u|2+Vxu=λfx,u+guGu|2⁎-2Gu,x∈RN, where λ>0, N≥3, g(s):R→R+ is a C1 even function, g(0)=1, and g′(s)≥0 for all s≥0, where G(u)≔∫0ug(t)dt. …”
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On a System of Equations of a Non-Newtonian Micropolar Fluid by G. M. de Araújo, M. A. F. de Araújo, E. F. L. Lucena

“…The operator stress tensor is given by τ(e(u))=[(ν+ν0M(|e(u)|2))e(u)]. To prove the existence of weak solutions we use the method of Faedo-Galerkin and compactness arguments. …”
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Global Solutions for a Nonlocal Problem with Logarithmic Source Term by Eugenio Lapa

“…The current paper discusses the global existence and asymptotic behavior of solutions of the following new nonlocal problem$$ u_{tt}- M\left(\displaystyle \int_{\Omega}|\nabla u|^{2}\, dx\right)\triangle u + \delta u_{t}= |u|^{\rho-2}u \log|u|, \quad \text{in}\ \Omega \times ]0,\infty[,  $$where\begin{equation*}M(s)=\left\{\begin{array}{ll}{a-bs,}&{\text{for}\ s \in [0,\frac{a}{b}[,}\\{0,}&{\text{for}\ s \in [\frac{a}{b}, +\infty[.}…”
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A change of scale formula for Wiener integrals of cylinder functions on the abstract Wiener space II by Young Sik Kim

“…,(hn,x)∼), x∈B where μˆ:ℝn→ℂ is the Fourier-transform of the complex-valued Borel measure μ on ℬ(ℝn), the Borel σ-algebra of ℝn with ‖μ‖<∞, the analytic Feynman integral of F exists, although the analytic Feynman integral, limz→−iqIaw(F;z)=limz→−iq(z/2π)n/2∫ℝnf(u→)exp{−(z/2)|u→|2}du→, do not always exist for bounded cylinder functions F(x)=f((h1,x)∼,...…”
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Genome-wide identification of short-chain dehydrogenases/reductases genes and functional characterization of ApSDR53C2 in melanin biosynthesis in Arthrinium phaeospermum by Jiao Liao, Yisi Wang, Han Liu, Sijia Liu, Peng Yan, Hang Chen, Shujiang Li, Shujiang Li

“…The pathogenicity analysis revealed that ApSDR53C2 and ApSDR548U2 play important roles in virulence, with ApSDR53C2 having a stronger effect. …”
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Ground State Solutions to a Critical Nonlocal Integrodifferential System by Min Liu, Zhijing Wang, Zhenyu Guo

“…Consider the following nonlocal integrodifferential system: LKu+λ1u+μ1u2⁎-2u+Gu(x,u,v)=0  in  Ω,  LKv+λ2v+μ2v2⁎-2v+Gv(x,u,v)=0  in  Ω,  u=0,  v=0  in  RN∖Ω, where LK is a general nonlocal integrodifferential operator, λ1,λ2,μ1,μ2>0, 2⁎≔2N/N-2s is a fractional Sobolev critical exponent, 0<s<1, N>2s, G(x,u,v) is a lower order perturbation of the critical coupling term, and Ω is an open bounded domain in RN with Lipschitz boundary. …”
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Global Bifurcation from Intervals for the Monge-Ampère Equations and Its Applications by Wenguo Shen

“…We shall establish the global bifurcation results from the trivial solutions axis or from infinity for the Monge-Ampère equations: det(D2u)=λm(x)-uN+m(x)f1(x,-u,-u′,λ)+f2(x,-u,-u′,λ), in B, u(x)=0, on ∂B, where D2u=(∂2u/∂xi∂xj) is the Hessian matrix of u, where B is the unit open ball of RN, m∈C(B¯,[0,+∞)) is a radially symmetric weighted function and m(r):=m(x)≢0 on any subinterval of [0,1], λ is a positive parameter, and the nonlinear term f1,f2∈C(B¯×R+3,R+), but f1 is not necessarily differentiable at the origin and infinity with respect to u, where R+=[0,+∞). …”
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Existence of normalized solutions for a Sobolev supercritical Schrödinger equation by Quanqing Li, Zhipeng Yang

“…This paper studies the existence of normalized solutions for the following Schrödinger equation with Sobolev supercritical growth: \begin{document}$ \begin{equation*} \begin{cases} -\Delta u+V(x)u+\lambda u = f(u)+\mu |u|^{p-2}u, \quad &\hbox{in}\;\mathbb{R}^N,\\ \int_{\mathbb{R}^N}|u|^2dx = a^2, \end{cases} \end{equation*} $\end{document} where $ p > 2^*: = \frac{2N}{N-2} $, $ N\geq 3 $, $ a > 0 $, $ \lambda \in \mathbb{R} $ is an unknown Lagrange multiplier, $ V \in C(\mathbb{R}^N, \mathbb{R}) $, $ f $ satisfies weak mass subcritical conditions. …”
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$$(g-2)_{e,\mu }$$ ( g - 2 ) e , μ and lepton flavor violating decays in a left-right model by L. T. Hue, Khiem Hong Phan, T. T. Hong, T. Phong Nguyen, N. H. T. Nha

“…The results are used to discuss these decays as new physics signals in a minimal left-right symmetric model containing only one bidoublet Higgs and a $$SU(2)_R$$ S U ( 2 ) R Higgs doublet accommodating data of neutrino oscillations and $$(g-2)_{\mu }$$ ( g - 2 ) μ . …”
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Spatiotemporal Patterns in a Ratio-Dependent Food Chain Model with Reaction-Diffusion by Lei Zhang

“…Based on the bifurcation analysis (Hopf and Turing), we give the spatial pattern formation via numerical simulation, that is, the evolution process of the system near the coexistence equilibrium point (u2*,v2*,w2*), and find that the model dynamics exhibits complex pattern replication. …”
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The segmentation of nanoparticles with a novel approach of HRU2-Net† by Yu Zhang, Heng Zhang, Fengfeng Liang, Guangjie Liu, Jinlong Zhu

“…In this study, we proposed HRU2-Net†, an enhancement of the U2-Net† model, featuring multi-level semantic information fusion. …”
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PEMANFAATAN URINE KELINCI UNTUK MENINGKATKAN PERTUMBUHAN DAN PRODUKSI TANAMAN SAWI (Brassica juncea L) VARIETAS TOSAKAN. LIQUID ORGANIC RABBIT FERTILIZER APPLICATION ON GROWTH AND... by Enny Mutryarny, Endriani Endriani, Sri Utami Lestari

“…Penelitian ini disusun menggunakan Rancangan Acak Lengkap (RAL) dengan 5 (lima) perlakuan, yaitu U0 = Kontrol, U1 = 25%/ L, U2 = 50% /L , U3 = 75% /L dan U4 = 100% /L. Parameter yang diamati adalah: Tinggi tanaman, jumlah daun, lebar daun, bobot segar dan bobot konsumsi tanaman yang akan diambil pada saat panen. …”
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Enhancing visual and plastic education training: a blended learning and flipped classroom approach by Verónica Chust-Pérez, Rosa Pilar Esteve-Faubel, María Pilar Aparicio-Flores, José María Esteve-Faubel

“…To address this investigation, two different pedagogical interventions were proposed: Unit 1 (U1), implementing BL, and Unit 2 (U2) through traditional lectures. For the analysis, a qualitative methodology using the focus group technique was employed. …”
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Lower Semicontinuity in L1 of a Class of Functionals Defined on BV with Carathéodory Integrands by T. Wunderli

“…As an example, we use this to prove that ∫Ωψxα2x+∇u2 dx+∫ΩψxdDsu is lower semicontinuous in L1Ω for any bounded continuous ψ and any α∈L1Ω. …”
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Homoclinic Solutions for a Class of Second Order Nonautonomous Singular Hamiltonian Systems by Ziheng Zhang, Fang-Fang Liao, Patricia J. Y. Wong

“…We are concerned with the existence of homoclinic solutions for the following second order nonautonomous singular Hamiltonian systems u¨+atWuu=0, (HS) where -∞<t<+∞, u=u1,u2, …,uN∈ℝNN≥3, a:ℝ→ℝ is a continuous bounded function, and the potential W:ℝN∖{ξ}→ℝ has a singularity at 0≠ξ∈ℝN, and Wuu is the gradient of W at u. …”
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Ensemble of feature augmented convolutional neural network and deep autoencoder for efficient detection of network attacks by Selvakumar B, Sivaanandh M, Muneeswaran K, Lakshmanan B

“…Also, the proposed method improved the detection rate of minority attack classes like U2R in NSLKDD and Hearbleed in CICIDS2017.…”
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