A comparison principle for doubly nonlinear parabolic partial differential equations. [PDF]
Ann Mat Pura Appl, 2023 In this paper, we derive a comparison principle for non-negative weak sub- and super-solutions to doubly nonlinear parabolic partial differential equations whose prototype is $$\begin{aligned} \partial _t u^q - {{\,\textrm{div}\,}}{\big (|\nabla u|^{p-2}\
Bögelein V, Strunk M.
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On a comparison principle for Trudinger’s equation [PDF]
Advances in Calculus of Variations, 2019 We study the comparison principle for non-negative solutions of the equation ∂ ( | v | p - 2 v ) ∂ t = div ( | ∇ v | p - 2 ∇ v ) , 1 < p < ∞ .
E. Lindgren, P. Lindqvist
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A comparison principle for Bergman kernels [PDF]
, 2015 We give a version of the comparison principle from pluripotential theory where the Monge-Amp\`ere measure is replaced by the Bergman kernel and use it to derive a maximum ...
B. Berndtsson
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General Comparison Principle for Variational-Hemivariational Inequalities [PDF]
Journal of Inequalities and Applications, 2009 We study quasilinear elliptic variational-hemivariational inequalities involving general Leray-Lions operators. The novelty of this paper is to provide existence and comparison results whereby only a local growth condition on Clarke's generalized ...
Carl Siegfried, Winkert Patrick
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Hamilton–Jacobi equations for controlled gradient flows: the comparison principle [PDF]
Journal of Functional Analysis, 2021 Motivated by recent developments in the fields of large deviations for interacting particle system and mean field control, we establish a comparison principle for the Hamilton--Jacobi equation corresponding to linearly controlled gradient flows of an ...
Giovanni Conforti, R. Kraaij, D. Tonon
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A comparison principle for the Lane–Emden equation and applications to geometric estimates [PDF]
Nonlinear Analysis, 2021 We prove a comparison principle for positive supersolutions and subsolutions to the Lane-Emden equation for the p−Laplacian, with subhomogeneous power in the right-hand side.
L. Brasco, F. Prinari, A. C. Zagati
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A comparison principle for higher order nonlinear hypoelliptic heat operators on graded Lie groups [PDF]
Nonlinear Analysis, 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 ...
Michael Ruzhansky, N. Yessirkegenov
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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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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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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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