The Critical Exponent for Weighted Sobolev Imbeddings

被引:0
作者
Alois Kufner
机构
[1] Mathematical Institute,
[2] Academy of Sciences,undefined
来源
Acta Applicandae Mathematica | 2001年 / 65卷
关键词
weighted Sobolev spaces; compact imbeddings; critical exponent;
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中图分类号
学科分类号
摘要
We define the critical exponent of (compact and noncompact) imbeddings of certain special weighted Sobolev spaces into weighted Lebesgue spaces.
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页码:273 / 281
页数:8
相关论文
共 10 条
[1]  
Avantaggiati A.(1967)Spazi di Sobolev con peso ed alcune applicazioni Boll. U.M.I. A 13 1-52
[2]  
Avantaggiati A.(1979)On compact embedding theorems in weighted Sobolev spaces Czech. Math. J. 29 635-644
[3]  
Brézis H.(1983)Positive solutions of nonlinear elliptic equations involving critical exponents Comm. Pure Appl. Math. 4 437-477
[4]  
Nirenberg L.(1996)Quasilinear elliptic equations with critical exponents Topological Methods in Nonlinear Analysis, J. Schauder Center 7 133-170
[5]  
Clément P.(1989)Elliptic boundary value problems with singular coefficients and critical nonlinearities Indiana Univ. Math. J. 38 235-251
[6]  
De Figueiredo D. G.(1998)Continuous and compact imbeddings of weighted Sobolev spaces I, II, III Czech. Math. J. 38 730-744
[7]  
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