Results 61 to 70 of about 663,640 (272)
Log-Level Comparison Principle for Small Ball Probabilities [PDF]
arXiv, 2008 We prove a new variant of comparison principle for logarithmic $L_2$-small ball probabilities of Gaussian processes. As an application, we obtain logarithmic small ball asymptotics for some well-known processes with smooth covariances.
arxiv
A comparison principle for nonlinear heat Rockland operators on graded groups [PDF]
, 2018 In this note we show a comparison principle for nonlinear heat Rockland operators on graded groups. We give a simple proof for it using purely algebraic relations. As an application of the established comparison principle we prove the global in $t$-boundedness of solutions for a class of nonlinear equations for the heat $p$-sub-Laplacian on stratified ...
arxiv +1 more source
Understanding and Overcoming Immunotherapy Resistance in Skin Cancer: Mechanisms and Strategies
Aging and Cancer, EarlyView.This narrative review explores the mechanisms driving immunotherapy resistance in skin cancer, including tumor microenvironment factors, genetic mutations, and immune evasion strategies. It highlights potential strategies to overcome resistance, offering insights for improving therapeutic outcomes and guiding future research in personalized ...
Shreya Singh Beniwal +8 more
wiley +1 more source
Architected Lattices with a Topological Transition
Advanced Engineering Materials, EarlyView., 2023 This article develops topological metamaterials showing multidirectional two‐step deformation under compression by embedding contact‐enabled topological mechanisms into lattice structures. Experiments on 3D‐printed 2D and 3D lattices and finite element simulations are conducted to demonstrate the working principle of the topological metamaterials.
Shivam Agarwal, Lihua Jin
wiley +1 more source
Advances in Difference Equations, 2017 We investigate the collective dynamics of multi-quasi-synchronization of coupled fractional-order neural networks with delays. Using the pinning impulsive strategy, we design a novel controller to pin the coupled networks to realize the multi-quasi ...
Xiaoli Ruan, Ailong Wu
doaj +1 more source
Comparison of quenched and annealed invariance principles for random conductance model [PDF]
arXiv, 2013 We show that there exists an ergodic conductance environment such that the weak (annealed) invariance principle holds for the corresponding continuous time random walk but the quenched invariance principle does not hold.
arxiv
p-harmonious functions with drift on graphs via games
Electronic Journal of Differential Equations, 2011 In a connected finite graph $E$ with set of vertices $mathfrak{X}$, choose a nonempty subset, not equal to the whole set, $Ysubset mathfrak{X}$, and call it the boundary $Y=partialmathfrak{X}$.
Alexander P. Svirido
doaj
Some remarks on the comparison principle in Kirchhoff equations [PDF]
arXiv, 2015 In this paper we study the validity of the comparison principle and the sub-supersolution method for Kirchhoff type equations. We show that these principles do not work when the Kirchhoff function is increasing, contradicting some previous results. We give an alternative sub-supersolution method and apply it to some models.
arxiv
A comparison principle for higher order nonlinear hypoelliptic heat operators on graded Lie groups [PDF]
arXiv, 2020 In this paper we present a comparison principle for higher order nonlinear hypoelliptic heat operators on graded Lie groups. Moreover, using the comparison principle we obtain blow-up type results and global in $t$-boundedness of solutions of nonlinear equations for the heat $p$-sub-Laplacian on stratified Lie groups.
arxiv
Existence and regularity of weak solutions for singular elliptic problems
Electronic Journal of Differential Equations, 2015 In this article we study the semilinear singular elliptic problem $$\displaylines{ -\Delta u = \frac{p(x)}{u^{\alpha}}\quad \text{in } \Omega \cr u = 0\quad \text{on } \partial\Omega,\quad u>0 \text{ in } \Omega, }$$ where $\Omega$ is a regular ...
Brahim Bougherara +2 more
doaj