Hopf's lemma for a class of singular/degenerate PDE-s
, 2014 This paper concerns Hopf's boundary point lemma, in certain $C^{1,Dini}$-type domains, for a class of singular/degenerate PDE-s, including $p$-Laplacian.
Mikayelyan, Hayk, Shahgholian, Henrik
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Boundary differentiability for inhomogeneous infinity Laplace equations
Electronic Journal of Differential Equations, 2014 We study the boundary regularity of the solutions to inhomogeneous infinity Laplace equations. We prove that if $u\in C(\bar{\Omega})$ is a viscosity solution to $\Delta_{\infty}u:=\sum_{i,j=1}^n u_{x_i}u_{x_j}u_{x_ix_j}=f$ with $f\in C(\Omega)\cap L^
Guanghao Hong
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Existence and Multiplicity of Solutions for a Class of Particular Boundary Value Poisson Equations
Mathematics, 2022 In this paper, a special class of boundary value problems, −▵u=λuq+ur,inΩ,u>0, inΩ,n·∇u+g(u)u=0,on∂Ω, where ...
Songyue Yu, Baoqiang Yan
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Local existence of solutions and comparison principle for initial boundary value problem with nonlocal boundary condition for a nonlinear parabolic equation with memory [PDF]
, 2023 Alexander Gladkov
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Generalized spreading speeds for lattice differential equations with time and space dependence
Electronic Journal of Differential Equations, 2019 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
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Positivity and nonexistence of solutions for quasilinear inequalities
Electronic Journal of Differential Equations, 2016 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
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Comparison principles and input-to-state stability for stochastic impulsive systems with delays
Systems Science & Control Engineering, 2021 In this paper, the input-to-state stability (ISS), the pth moment exponential ISS and the stochastic input-to-state stability issues are investigated for the stochastic impulsive systems with time delays via the comparison principle method.
Shuang Liang, Jinling Liang
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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]
, 2021 Fraje Watson +5 more
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A distance comparison principle for curve flows with a global forcing term [PDF]
, 2022 Friederike Dittberner
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On Zero-Sum Stochastic Differential Games [PDF]
, 2012 We generalize the results of Fleming and Souganidis (1989) on zero sum stochastic differential games to the case when the controls are unbounded. We do this by proving a dynamic programming principle using a covering argument instead of relying on a ...
Bayraktar, Erhan, Yao, Song
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