Results 11 to 20 of about 2,703,249 (309)
PDE comparison principles for Robin problems [PDF]
Canadian Journal of Mathematics, 2021 AbstractWe compare the solutions of two Poisson problems in a spherical shell with Robin boundary conditions, one with given data, and one where the data have been cap symmetrized. When the Robin parameters are nonnegative, we show that the solution to the symmetrized problem has larger convex means. Sending one of the Robin parameters to $+\infty $ ,
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Large solutions of a class of degenerate equations associated with infinity Laplacian
Advanced Nonlinear Studies, 2022 In this article, we investigate the boundary blow-up problem Δ∞hu=f(x,u),inΩ,u=∞,on∂Ω,\left\{\begin{array}{ll}{\Delta }_{\infty }^{h}u=f\left(x,u),& {\rm{in}}\hspace{0.33em}\Omega ,\\ u=\infty ,& {\rm{on}}\hspace{0.33em}\partial \Omega ,\end{array}\right.
Li Cuicui, Liu Fang
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Blow-up and global existence for the inhomogeneous porous medium equation with reaction [PDF]
Rendiconti di Matematica e delle Sue Applicazioni, 2021 We study finite time blow-up and global existence of solutions to the Cauchy problem for the porous medium equation with a variable density ρ(x) and a power-like reaction term. We firstly consider the case that ρ(x) decays at infinity like the critical
Giulia Meglioli, Fabio Punzo
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On the Dynamics of New 4D and 6D Hyperchaotic Systems
Mathematics, 2022 One of the most interesting problems is the investigation of the boundaries of chaotic or hyperchaotic systems. In addition to estimating the Lyapunov and Hausdorff dimensions, it can be applied in chaos control and chaos synchronization.
Samia Rezzag, Fuchen Zhang
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A Comparison Result for the Nabla Fractional Difference Operator
Foundations, 2023 This article establishes a comparison principle for the nabla fractional difference operator ∇ρ(a)ν ...
Jagan Mohan Jonnalagadda
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Large solutions of semilinear elliptic equations with a Hardy potential [PDF]
Rendiconti di Matematica e delle Sue Applicazioni, 2021 Semilinear elliptic problems with solutions blowing up at the boundary are considered. The effect of a Hardy potential with a boundary singularity is discussed. Positive potentials reinforce the solution to blow up whereas negative prevent it.
Catherine Bandle
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Improvements on overdetermined problems associated to the p-Laplacian
Mathematics in Engineering, 2022 This work presents some improvements on related papers that investigate certain overdetermined problems associated to elliptic quasilinear operators. Our model operator is the p-Laplacian.
Antonio Greco , Francesco Pisanu
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Model Comparison and the Principle of Parsimony [PDF]
, 2015 According to the principle of parsimony, model selection methods should value both descriptive accuracy and simplicity. Here we focus primarily on Bayes factors and minimum description length, explaining how these procedures strike a balance between goodness-of-fit and parsimony.
Vandekerckhove, J. +2 more
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On a comparison principle and the uniqueness of spectral flow
Mathematische Nachrichten, 2022 AbstractThe spectral flow is a well‐known quantity in spectral theory that measures the variation of spectra about 0 along paths of selfadjoint Fredholm operators. The aim of this work is twofold. Firstly, we consider homotopy invariance properties of the spectral flow and establish a simple formula which comprises its classical homotopy invariance and
Starostka, Maciej, Waterstraat, Nils
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IEEE Access, 2021 This work focuses on exponential synchronization for a class of partially coupled heterogeneous networks with time-delays and heterogeneous impulses. The synchronization targets are selected as the common equilibrium solution and the average trajectory ...
Guizhen Feng +3 more
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