Results 1 to 10 of about 402 (50)

Principal eigenvalue problem for infinity Laplacian in metric spaces

Advanced Nonlinear Studies, 2022
This article is concerned with the Dirichlet eigenvalue problem associated with the ∞\infty -Laplacian in metric spaces. We establish a direct partial differential equation approach to find the principal eigenvalue and eigenfunctions in a proper geodesic
Liu Qing, Mitsuishi Ayato
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A double-phase eigenvalue problem with large exponents

Open Mathematics, 2023
In the present article, we consider a double-phase eigenvalue problem with large exponents. Let λ(pn,qn)1{\lambda }_{\left({p}_{n},{q}_{n})}^{1} be the first eigenvalues and un{u}_{n} be the first eigenfunctions, normalized by ‖un‖ℋn=1\Vert {u}_{n}{\Vert
Yu Lujuan
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Vortex formation for a non-local interaction model with Newtonian repulsion and superlinear mobility

Advances in Nonlinear Analysis, 2022
We consider density solutions for gradient flow equations of the form ut = ∇ · (γ(u)∇ N(u)), where N is the Newtonian repulsive potential in the whole space ℝd with the nonlinear convex mobility γ(u) = uα, and α > 1.
Carrillo J.A., Gómez-Castro D., Vázquez J.L.   +2 more
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Asymptotic mean-value formulas for solutions of general second-order elliptic equations

Advanced Nonlinear Studies, 2022
We obtain asymptotic mean-value formulas for solutions of second-order elliptic equations. Our approach is very flexible and allows us to consider several families of operators obtained as an infimum, a supremum, or a combination of both infimum and ...
Blanc Pablo, Charro Fernando, Manfredi Juan J., Rossi Julio D.   +3 more
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Optimal control of a viscous generalized θ-type dispersive equation with weak dissipation

Open Mathematics, 2020
In this paper, we investigate the problem for optimal control of a viscous generalized θ\theta -type dispersive equation (VG θ\theta -type DE) with weak dissipation. First, we prove the existence and uniqueness of weak solution to the equation.
Fan Guobing, Yang Zhifeng
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The obstacle problem for the infinity fractional laplacian [PDF]

, 2016
Given g an α-H¨older continuous function defined on the boundary of a bounded domain Ω and given ψ a continuous obstacle defined in Ω, in this article, we find u an α-H¨older extension of g in Ω with u ≥ ψ.
Moreno Mérida, Lourdes, Vidal, Raúl Emilio   +1 more
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Entire Solutions of Cauchy Problem for Parabolic Monge–Ampère Equations

Advanced Nonlinear Studies, 2020
In this paper, we study the Cauchy problem of the parabolic Monge–Ampère ...
Dai Limei, Bao Jiguang
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The spherical image of singular varieties of bounded mean curvature [PDF]

, 2020
In this paper we deal with singular varieties of bounded mean curvature in the viscosity sense. They contain all varifolds of bounded generalized mean curvature.
Santilli, Mario
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Refined asymptotics for the infinite heat equation with homogeneous Dirichlet boundary conditions [PDF]

, 2010
The nonnegative viscosity solutions to the infinite heat equation with homogeneous Dirichlet boundary conditions are shown to converge as time increases to infinity to a uniquely determined limit after a suitable time rescaling.
Barles G., Bénilan P., Christian Stinner, Dahlberg B.E.J., Dal Passo R., Gilbarg D., Lieberman G.M., Manfredi J.J., Philippe Laurençot, Vázquez J.L.   +9 more
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Compactness and asymptotic behavior in nonautonomous linear parabolic equations with unbounded coefficients in $\R^d$ [PDF]

, 2010
We consider a class of second order linear nonautonomous parabolic equations in R^d with time periodic unbounded coefficients. We give sufficient conditions for the evolution operator G(t,s) be compact in C_b(R^d) for t>s, and describe the asymptotic ...
A Lunardi, D Henry, EB Davies, G Metafune, G Metafune, G Prato Da, L Lorenzi, M Fuhrman, M Kunze, OA Ladyz’enskaya, RM Dudley, Y Du   +11 more
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