A SINGULAR BOUNDARY VALUE PROBLEM FOR THE NORMALIZED p-LAPLACIAN EQUATION

被引：0

作者：

Liu, Fang ^{[1
]}

Sun, Hong ^{[1
]}

机构：

[1] SMALL

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 1600年 / 0卷 / 01期

关键词：

Singular boundary value problem; normalized p-Laplacian; viscosity solution; comparison principle; existence; TUG-OF-WAR; MINIMIZATION PROBLEMS; LIPSCHITZ EXTENSIONS; POSITIVE SOLUTIONS; MAXIMUM PRINCIPLE; 1ST EIGENVALUE; INFINITY; UNIQUENESS;

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摘要：

In this paper, we study the singular boundary value problem related to the normalized p-Laplacian {Delta(N)(p)u=lambda f(x,u,Du) in Omega, u>0 in Omega, u=0 on partial derivative Omega, where lambda>0 is a parameter and Delta(N)(p)u=1p|Du|2-pdiv(|D-u|(p-2)Du),1<p R is continuous and may exhibit singularity at t -> 0+. First, we establish the comparison principle by the perturbation method for the viscosity solution to the general equation Delta(N)(p)u=F(x,u,Du) under some conditions on the term F(x,t,q). When 2 <= n<pNovabeads: Stimuli-Responsive Signal-Amplifying Hydrogel Microparticles for Enzymeless Fluorescence-Based Detection of microRNA Biomarkers

引用

页码：1613-6810 / 1613-6829