论文标题
$ p（x）$ - laplacian的弱解决方案的存在和独特性
Existence and Uniqueness of Weak solution of $ p( x ) $- laplacian in Sobolev spaces with variable exponents in complete manifolds
论文作者
论文摘要
本文介绍了非均匀$ p（x） - $ laplacian方程的非平凡解决方案的存在和独特性，该方程在Riemannian歧管上可变指数Sobolev空间的框架中由非多项式增长操作员管理。使用山通定理。
The paper deals with the existence and uniqueness of a non-trivial solution to non-homogeneous $ p ( x ) -$laplacian equations, managed by non polynomial growth operator in the framework of variable exponent Sobolev spaces on Riemannian manifolds. The mountain pass Theorem is used.
