INFINITELY MANY SOLUTIONS TO p（x）-BIHARMONIC PROBLEM WITH NAVIER BOUNDARY CONDITIONS

• 作者: Zigao Chen
• 来源期刊: 微分方程年刊：英文版
• 学科: 数学
• 关键词: 边界条件 无穷多解 空间理论 索伯列夫 引理
• 年，卷（期）: 2014,（3）
• 页码范围: 272-281
• 页数: 10页
• 分类号: O175.25

摘要

In this paper, we consider a p(x)-biharmonic problem with Navier boundary conditions. The existence of infinitely many solutions which tend to zero is investigated based on the symmetric Mountain Pass lemma. Our approach relies on the theory of variable exponent Sobolev space.