Results 21 to 30 of about 3,933 (187)
Phragm\'en-Lindel\"of theorem for infinity harmonic functions [PDF]
, 2015 We investigate a version of the Phragm\'en-Lindel\"of theorem for solutions of the equation $\Delta_\infty u=0$ in unbounded convex domains. The method of proof is to consider this infinity harmonic equation as the limit of the $p$-harmonic equation when
Granlund, Seppo, Marola, Niko
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Asymptotic behavior of solutions of fully nonlinear equations over exterior domains
, 2021 In this paper, we consider the asymptotic behavior at infinity of solutions of a class of fully nonlinear elliptic equations F (D2u) = f (x) over exterior domains, where the Hessian matrix (D2u) tends to some symmetric positive definite matrix at ...
Xiaobiao Jia
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Asymptotic properties of critical points for subcritical Trudinger-Moser functional
Advanced Nonlinear Studies, 2023 On a smooth bounded domain we study the Trudinger-Moser functional Eα(u)≔∫Ω(eαu2−1)dx,u∈H1(Ω){E}_{\alpha }\left(u):= \mathop{\int }\limits_{\Omega }({e}^{\alpha {u}^{2}}-1){\rm{d}}x,\hspace{1.0em}u\in {H}^{1}\left(\Omega ) for α∈(0,2π)\alpha \in \left(0 ...
Hashizume Masato
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TIME-VARYING LYAPUNOV FUNCTIONS AND LYAPUNOV STABILITY OF NONAUTONOMOUS FRACTIONAL ORDER SYSTEMS
International Journal of Apllied Mathematics, 2019 We present a new inequality which involves the Caputo fractional derivative of the product of two continuously differentiable functions, and establish its various properties. The inequality and its properties enable us to construct potential time-varying
B. K. Lenka
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Effective Boundary Conditions for the Heat Equation with Interior Inclusion
, 2020 Of concern is the scenario of a heat equation on a domain that contains a thin layer, on which the thermal conductivity is drastically different from that in the bulk.
Huicong Wang
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Global Solutions of Modified One-Dimensional Schrödinger Equation
Communications in Mathematical Research, 2021 In this paper, we consider the modified one-dimensional Schrödinger equation: ( Dt−F(D) ) u=λ|u|u, where F(ξ) is a second order constant coefficients classical elliptic symbol, and with smooth initial datum of size ε≪1.
Ting Zhang
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Advances in Nonlinear Analysis, 2023 In this article, we formulate and perform a strict analysis of a reaction–diffusion mosquito-borne disease model with total human populations stabilizing at H(x) in a spatially heterogeneous environment.
Wang Jinliang, Wu Wenjing, Li Chunyang
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Cloaking using complementary media in the quasistatic regime [PDF]
, 2015 Cloaking using complementary media was suggested by Lai et al. in [8]. The study of this problem faces two difficulties. Firstly, this problem is unstable since the equations describing the phenomenon have sign changing coefficients, hence the ...
Nguyen, Hoai-Minh
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Nonautonomous Dynamical Systems, 2022 In this work, we study the existence of periodic solutions for a class of linear partial functional differential equations with infinite delay. Inspiring by an existing study, by applying the perturbation theory of semi-Fredholm operators, we introduce a
Elazzouzi Abdelhai +2 more
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On the (p,h)-convex function and some integral inequalities
, 2014 In this paper, we introduce a new class of (p,h)-convex functions which generalize P-functions and convex, h,p,s-convex, Godunova-Levin functions, and we give some properties of the functions.
Z. Fang, Renjie Shi
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