一类包含P(x)-Laplace算子的偏微分方程解的存在性

Existence of Solutions for a Class of Partial Differential Equations Involving p(x)-Laplace Type Operator

研究变指数Sobolev空间中一类包含P(x)-Laplace算子的非线性问题.利用变指数Lebesgue和Sobolev空间理论框架,验证Palais-Smale紧性条件,并结合山路定理和变分法证明方程弱解的存在性.

This paper studies a class of nonlinear problems involving p（x）-Laplace type operator in variable exponent sobolev spaces. Our approach relies on the variable exponent theory of Lebesgue-Sobolev spaces, combined with Palais-Smale condition, mountain pass theorem and some adequate variational methods.