Results 111 to 120 of about 7,704,118 (361)
Dunkl-Poisson Equation and Related Equations in Superspace
Mathematical Modelling and Analysis, 2015 In this paper, we investigate the Almansi expansion for solutions of Dunkl-polyharmonic equations by the 0-normalized system for the Dunkl-Laplace operator in superspace.
Hong Fen Yuan, Valery V. Karachik
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Classification of compact convex ancient solutions of the planar affine normal flow [PDF]
arXiv, 2014 We prove that the only compact convex ancient solutions of the planar affine normal flow are contracting ellipses.
arxiv
Sur la solution d'équations normales [PDF]
Astronomische Nachrichten, 1893 n ...
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Molecular Oncology, EarlyView.Using mass cytometry, we analyzed serial blood samples from patients with relapsed epithelial ovarian cancer (EOC) treated with oleclumab–durvalumab combination immunotherapy in the NSGO‐OV‐UMB1/ENGOT‐OV30 trial. Our analysis identified potential predictive, monitoring, and response biomarkers detectable through liquid biopsy. These findings facilitate
Luka Tandaric +11 more
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Normalized homoclinic solutions of discrete nonlocal double phase problems
Bulletin of Mathematical SciencesThe aim of this paper is to discuss the existence of normalized solutions to the following nonlocal double phase problems driving by the discrete fractional Laplacian: ( − Δ𝔻)pαu(k) + μ(−Δ 𝔻)qβu(k) + ω(k)|u(k)|p−2u(k) = λ|u(k)|q−2u(k) + h(k)|u(k)|r−2u(k)
Mingqi Xiang, Yunfeng Ma, Miaomiao Yang
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A METHOD FOR THE SOLUTION OF NORMAL EQUATIONS
The Journal of Agriculture of the University of Puerto Rico, 1944 A new method of solving normal equations is presented. A comparison is made of the application of the method to a multiple regression case used by Dwyer to illustrate his abbreviation of the Doolittle method. The proposed method for relatively, small numbers of unknowns at least, is simpler than Dwyer's method, considered to date to be one, if not the ...
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Molecular Oncology, EarlyView.In molecular cancer diagnostics, comprehensive genomic profiling (CGP) is going to replace the small NGS panels since it provides all clinically relevant somatic variants as well as genomic biomarkers with clinical value. Here, we compared two CGP assays and demonstrate that the choice for diagnostic implementation will depend on the specific ...
Guy Froyen +17 more
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Existence and uniqueness of normalized solutions for the Kirchhoff equation
Applied Mathematics Letters, 2017 For a class of Kirchhoff functional, we first give a complete classification with respect to the exponent $p$ for its $L^2$-normalized critical points, and show that the minimizer of the functional, if exists, is unique up to translations. Secondly, we search for the mountain pass type critical point for the functional on the $L^2$-normalized manifold,
Yimin Zhang, Xiaoyu Zeng
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Molecular and functional profiling unravels targetable vulnerabilities in colorectal cancer
Molecular Oncology, EarlyView.We used whole exome and RNA‐sequencing to profile divergent genomic and transcriptomic landscapes of microsatellite stable (MSS) and microsatellite instable (MSI) colorectal cancer. Alterations were classified using a computational score for integrative cancer variant annotation and prioritization.
Efstathios‐Iason Vlachavas +15 more
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Positive Normalized Solutions to a Kind of Fractional Kirchhoff Equation with Critical Growth
Fractal and FractionalIn this paper, we have investigated the existence of normalized solutions for a class of fractional Kirchhoff equations involving nonlinearity and critical nonlinearity. The nonlinearity satisfies L2-supercritical conditions.
Shiyong Zhang, Qiongfen Zhang
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