Positivity and nonexistence of solutions for quasilinear inequalities
We prove a positivity property and a nonexistence theorem for weak solutions of quasilinear differential equalities in R^N. To obtain our results, we use a comparison principle.
Xiaohong Li
doaj
Comparison principle for unbounded viscosity solutions of degenerate elliptic PDEs with gradient superlinear terms [PDF]
We are concerned with fully nonlinear possibly degenerate elliptic partial differential equations (PDEs) with superlinear terms with respect to $Du$. We prove several comparison principles among viscosity solutions which may be unbounded under some polynomial-type growth conditions.
arxiv
Comparison of volume of the forebrain, subarachnoid space and lateral ventricles between dogs with idiopathic epilepsy and controls using a stereological approach: Cavalieri’s principle [PDF]
Fraje Watson+5 more
openalex +1 more source
Abstract Objectives An increasing body of evidence indicates altered DNA methylation in Parkinson's disease, yet the reproducibility and utility of such methylation changes are largely unexplored. We aimed to further elucidate the role of dysregulated DNA methylation in Parkinson's disease and to evaluate the biomarker potential of methylation‐based ...
Ingeborg Haugesag Lie+4 more
wiley +1 more source
Generalized spreading speeds for lattice differential equations with time and space dependence
This article concerns the spatial spreading speeds for lattice differential equations with general time and space dependence. Firstly, we give the concept of spreading speed intervals.
Ning Wang, Zhi-Cheng Wang
doaj
Corrigendum for the comparison theorem in "A new definitions for a class of integro-differential equatons" [PDF]
By using the Jensen's maximum principle and the Alexandrov's theorem in the convex analysis, we present the nonlocal version of the Jensen-Ishii lemma, which leads to the precise argument for the comparison principle.
arxiv
The comparison principle and Dirichlet problem in the class Ep(f), p>0 [PDF]
Phạm Hoàng Hiệp
openalex +1 more source
Comparison Principle for Hamilton-Jacobi-Bellman Equations via a Bootstrapping Procedure [PDF]
Richard C. Kraaij, Mikola C. Schlottke
openalex +1 more source
Handling rescue therapy in myasthenia gravis clinical trials: why it matters and why you should care
Abstract Myasthenia gravis (MG) clinical trials typically allow rescue therapy during follow‐up in the event of marked worsening of MG symptoms. Failure to appropriately address rescue therapy in defining treatment effects and planning statistical analyses may yield biased estimates, increase false positive rates, or decrease statistical power – all of
Justin M. Leach+3 more
wiley +1 more source
Formulation of a Certification Agency for Buildings without Land Rights Based on the Principle of Horizontal Separation (Comparison to Japan) [PDF]
Lilawati Ginting+3 more
openalex +1 more source