Embeddings of weighted Sobolev spaces and degenerate elliptic problems

• 作 者: GUO ZongMing MEI LinFeng WAN F
• 机 构: DepartmentofMathematics
• 出 处: 中国科学：数学英文版
• 发表日期: 2017年8期
• 关键词: 加权SOBOLEV空间 退化椭圆问题 嵌入 无界域 不等式 权重 奇异 有界 positive weak solutions Sobolev type emb
• 基金项目: supported by National Natural Science Foundation of China （Grant Nos. 11171092, 11571093 and 11371117）

New embeddings of some weighted Sobolev spaces with weights a(x)and b(x)are established.The weights a(x)and b(x)can be singular.Some applications of these embeddings to a class of degenerate elliptic problems of the form-div(a(x)?u)=b(x)f(x,u)in?,u=0 on??