带双井势函数的一维p-Laplace方程解的存在性

The Existence of the Solution to a Class of One-dimensional Equation with Double Well Potential

研究了一类带双井势函数的一维p-Laplace方程解的存在性,并用微积分的方法以及变分的方法给出方程解的唯一存在性证明.

In this paper we discuss the existence of the solution to a class of One - dimensional p - Laplace Equation with Double Well Potential, and use calculus method and variational method to prove the existence and uniqueness of the solution to the problem.