Results 31 to 40 of about 434,263 (264)
ENTIRE SOLUTIONS OF QUASILINEAR PSEUDOPARABOLIC EQUATIONS
Demonstratio Mathematica, 1985 The author considers the equation \[ Lw=(\partial /\partial t)(w_ z+aw+b\bar w)=f(t,z,w) \] under some assumptions about functions a and b. The existence and uniqueness of bounded entire solutions are considered. The bounded entire solutions for the case \[ f(t,z,w)=e(t)(c(z)w+d(t)\bar w) \] are constructed.
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Claudin‐6 has emerged as a promising immunotherapeutic target, yet protein‐level data in atypical teratoid/rhabdoid tumors (AT/RTs) have been inconsistent. We analyzed 36 well‐characterized AT/RT samples and found membranous claudin‐6 protein expression in 58% of cases, with striking enrichment in the molecular subgroup AT/RT‐TYR (100%) and ...
Victoria E. Fincke +4 more
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Electronic Journal of Differential Equations, 2021 We prove an asymptotic monotonicity formula for bounded, globally minimizing solutions (in the sense of Morse) to a class of semilinear elliptic systems of the form $\Delta u= W_u(u)$, $x\in \mathbb{R}^n$, $n\geq 2$, with $W:\mathbb{R}^m\to \mathbb{R}$
Christos Sourdis
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Wilms tumor (WT) treatment imposes a significant time burden on patients and their families. Time toxicity is a patient‐centered metric that quantifies the burden of healthcare interaction. We sought to define time toxicity in the first year after diagnosis of WT and hypothesized that it would increase as tumor stage and treatment ...
Caleb Q. Ashbrook +6 more
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On nonnegative entire solutions of second-order semilinear elliptic systems
Electronic Journal of Differential Equations, 2003 We consider the second-order semilinear elliptic system $$ Delta u_i=P_i(x)u_{i+1}^{alpha_i}quadhbox{in }mathbb{R}^N, quad i=1,2,dots,m $$ with nonnegative continuous functions $P_i$.
Tomomitsu Teramoto
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Electronic Journal of Qualitative Theory of Differential Equations, 2011 In this paper, we investigate the order and the hyper-order of entire solutions of the linear differential equation \begin{equation*} f^{\left( k\right) }+\left( D_{k-1}+B_{k-1}e^{b_{k-1}z}\right) f^{\left(k-1\right) }+ ...
H. Habib, B. Belaidi
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Entire solutions of nonhomogenous differential equations
Journal of Mathematical Analysis and Applications, 1991 Entire solutions of nonhomogeneous differential equations of second order with polynomial coefficients in the complex domain are considered and bounds on type and maximum modulus are obtained. Conditions for a solution to be entire and univalent (in the unit circle) are given also: In this well written investigation the author exploits the notion of ...
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Central nervous system (CNS) involvement in childhood acute lymphoblastic leukemia (ALL) is assessed by cell counting and cytomorphology from cerebrospinal fluid (CSF) and is used for treatment stratification worldwide. The ratio of “CNS2” patients in clinical trials ranges from 3% to 40%, with unclear prognostic significance ...
Laura Almási +14 more
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Adaptive regularization using the entire solution surface
Biometrika, 2009 Several sparseness penalties have been suggested for delivery of good predictive performance in automatic variable selection within the framework of regularization. All assume that the true model is sparse. We propose a penalty, a convex combination of the L1- and L∞-norms, that adapts to a variety of situations including sparseness and nonsparseness ...
S. Wu, X. Shen, C. J. Geyer
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Immune effector cell‐associated hemophagocytic lymphohistiocytosis‐like syndrome (IEC‐HS) is a life‐threatening hyperinflammatory toxicity distinct from cytokine release syndrome (CRS) and neurotoxicity following chimeric antigen receptor T‐cell (CAR‐T) therapy. In a single‐institution retrospective cohort of pediatric and young adult patients
Thomas J. Galletta +6 more
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