一类k-Hessian方程Dirichlet问题径向解的存在性

Existence of Radial Solutions for a Class of k-Hessian Equations with Dirichlet Problems

摘要

基于一个新的修正的Gustafson-Schmitt型不动点定理,在非线性项仅在u=0处满足适当的增长性条件时,给出k-Hessian方程的Dirichlet边值问题径向解存在的充分条件.

Abstract

Based on a new modified Gustafson-Schmitt type fixed point theorem, the author give sufficient conditions for the existence of radial solutions to the Dirichlet boundary value problem of the k-Hessian equation when the nonlinear term satisfies the appropriate growth condition only at u=0.

关键词

k-Hessian系统 / 不动点定理 / k-径向解

Key words

k-Hessian equation / fixed point theorem / k-radial solution

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基金资助

国家自然科学基金(12461039)