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Mathematics of The Ussr-sbornik最新文献

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ON ELLIPTIC PROBLEMS IN $ mathbf{R}^N$ WITH SUPERCRITICAL EXPONENT OF NONLINEARITY 具有非线性超临界指数的$ mathbf{R}^N$中的椭圆型问题
Mathematics of The Ussr-sbornik Pub Date : 1992-02-28 DOI: 10.1070/SM1992V072N02ABEH002147
S. Pokhozhaev
{"title":"ON ELLIPTIC PROBLEMS IN $ mathbf{R}^N$ WITH SUPERCRITICAL EXPONENT OF NONLINEARITY","authors":"S. Pokhozhaev","doi":"10.1070/SM1992V072N02ABEH002147","DOIUrl":"https://doi.org/10.1070/SM1992V072N02ABEH002147","url":null,"abstract":"Elliptic problems of the form are considered under appropriate conditions. This class of problems includes the inhomogeneous Emden-Fowler problem with .The first part of this article is concerned with radial solutions, where and . The second part considers solvability in classes of functions with prescribed bound on decay at infinity, but without assumptions on radial symmetry.","PeriodicalId":208776,"journal":{"name":"Mathematics of The Ussr-sbornik","volume":"72 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1992-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130893732","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
ON APPROXIMATION OF CURVES BY LEVEL CURVES OF HOMOGENEOUS POLYNOMIALS, AND ON SERIES IN HOMOGENEOUS POLYNOMIALS 齐次多项式的水平曲线逼近曲线及齐次多项式的级数
Mathematics of The Ussr-sbornik Pub Date : 1992-02-28 DOI: 10.1070/SM1992V072N02ABEH002145
E. Shnol
{"title":"ON APPROXIMATION OF CURVES BY LEVEL CURVES OF HOMOGENEOUS POLYNOMIALS, AND ON SERIES IN HOMOGENEOUS POLYNOMIALS","authors":"E. Shnol","doi":"10.1070/SM1992V072N02ABEH002145","DOIUrl":"https://doi.org/10.1070/SM1992V072N02ABEH002145","url":null,"abstract":"Conditions are found that are necessary and sufficient for a curve to bound the domain of convergence of a series in homogeneous polynomials. The conditions have a nonlocal character and can be expressed in terms of the Fourier coefficients of the Fourier coefficients of .","PeriodicalId":208776,"journal":{"name":"Mathematics of The Ussr-sbornik","volume":"72 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1992-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131252336","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
THE CANONICAL MODULE OF A QUASIHOMOGENEOUS NORMAL AFFINE SL2-VARIETY 准齐次正仿射sl2型的正则模
Mathematics of The Ussr-sbornik Pub Date : 1992-02-28 DOI: 10.1070/SM1992V073N02ABEH002563
D. Panyushev
{"title":"THE CANONICAL MODULE OF A QUASIHOMOGENEOUS NORMAL AFFINE SL2-VARIETY","authors":"D. Panyushev","doi":"10.1070/SM1992V073N02ABEH002563","DOIUrl":"https://doi.org/10.1070/SM1992V073N02ABEH002563","url":null,"abstract":"For the varieties mentioned in the title a description is given for the canonical divisor, the Picard group, and the divisor class group. In particular, it follows from this that the singular 3-dimensional quasihomogeneous SL2-varieties are not Gorenstein. The canonical module is described. All descriptions are given in terms of discrete parameters: the height and the degree of a quasihomogeneous affine SL2-variety.","PeriodicalId":208776,"journal":{"name":"Mathematics of The Ussr-sbornik","volume":"4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1992-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124027763","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
HOMOLOGY OF FREE ABELIANIZED EXTENSIONS OF GROUPS 群的自由阿贝尔化扩展的同调性
Mathematics of The Ussr-sbornik Pub Date : 1992-02-28 DOI: 10.1070/SM1992V072N02ABEH001416
L. Kovach, Yu. V. Kuz’min, R. Shter
{"title":"HOMOLOGY OF FREE ABELIANIZED EXTENSIONS OF GROUPS","authors":"L. Kovach, Yu. V. Kuz’min, R. Shter","doi":"10.1070/SM1992V072N02ABEH001416","DOIUrl":"https://doi.org/10.1070/SM1992V072N02ABEH001416","url":null,"abstract":"Let G be a group given by a free presentation G = F/N, and N' the commutator subgroup of N. The quotient F/N' is called a free abelianized extension of G. We study the homology of F/N' with trivial coefficients. In particular, for torsion-free G our main result yields a complete description of the odd torsion in the integral homology of F/N' in terms of the mod p homology of G.","PeriodicalId":208776,"journal":{"name":"Mathematics of The Ussr-sbornik","volume":"69 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1992-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123421611","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 7
INVERSE THEOREMS FOR MULTIPOINT PADÉ APPROXIMANTS 多点padÉ近似的逆定理
Mathematics of The Ussr-sbornik Pub Date : 1992-02-28 DOI: 10.1070/SM1992V071N01ABEH001581
Le Ba Kkhan' Chin'
{"title":"INVERSE THEOREMS FOR MULTIPOINT PADÉ APPROXIMANTS","authors":"Le Ba Kkhan' Chin'","doi":"10.1070/SM1992V071N01ABEH001581","DOIUrl":"https://doi.org/10.1070/SM1992V071N01ABEH001581","url":null,"abstract":"Inverse type theorems are proved for multipoint Pade approximants of functions holomorphic in a neighborhood of the unit disk, where the interpolation knots belong to the unit disk and satisfy a sufficiently general asymptotic condition.","PeriodicalId":208776,"journal":{"name":"Mathematics of The Ussr-sbornik","volume":"5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1992-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127975231","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
NON-ARCHIMEDEAN RANKIN CONVOLUTIONS OF UNBOUNDED GROWTH 无界增长的非阿基米德兰金卷积
Mathematics of The Ussr-sbornik Pub Date : 1992-02-28 DOI: 10.1070/SM1992V072N01ABEH001583
M. Kuang
{"title":"NON-ARCHIMEDEAN RANKIN CONVOLUTIONS OF UNBOUNDED GROWTH","authors":"M. Kuang","doi":"10.1070/SM1992V072N01ABEH001583","DOIUrl":"https://doi.org/10.1070/SM1992V072N01ABEH001583","url":null,"abstract":"Non-Archimedean Rankin convolutions are constructed in the supersingular case. The construction is based on a refined technique of h-admissible measures, for which the non-Archimedean Mellin transform gives analytic functions of unbounded growth.","PeriodicalId":208776,"journal":{"name":"Mathematics of The Ussr-sbornik","volume":"72 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1992-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129060168","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
STRONG INCOMPLETENESS OF A SYSTEM OF EXPONENTIALS, AND MACINTYRE'S PROBLEM 指数系统的强不完备性和麦金泰尔问题
Mathematics of The Ussr-sbornik Pub Date : 1992-02-28 DOI: 10.1070/SM1992V073N02ABEH002547
A. Gaisin
{"title":"STRONG INCOMPLETENESS OF A SYSTEM OF EXPONENTIALS, AND MACINTYRE'S PROBLEM","authors":"A. Gaisin","doi":"10.1070/SM1992V073N02ABEH002547","DOIUrl":"https://doi.org/10.1070/SM1992V073N02ABEH002547","url":null,"abstract":"A solution is given for Macintyre's problem in terms of strong incompleteness of a system , . As a corollary it is shown that this system is incomplete in the space , where is any continuous curve.","PeriodicalId":208776,"journal":{"name":"Mathematics of The Ussr-sbornik","volume":"23 4","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1992-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132467294","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 20
A SOLUTION OF THE RESTRICTED BURNSIDE PROBLEM FOR 2-GROUPS 一类2群限制性Burnside问题的解
Mathematics of The Ussr-sbornik Pub Date : 1992-02-28 DOI: 10.1070/SM1992V072N02ABEH001272
E. I. Zel'manov
{"title":"A SOLUTION OF THE RESTRICTED BURNSIDE PROBLEM FOR 2-GROUPS","authors":"E. I. Zel'manov","doi":"10.1070/SM1992V072N02ABEH001272","DOIUrl":"https://doi.org/10.1070/SM1992V072N02ABEH001272","url":null,"abstract":"","PeriodicalId":208776,"journal":{"name":"Mathematics of The Ussr-sbornik","volume":"22 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1992-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127118933","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 246
SOME RESULTS ON SOLVABILITY OF ORDINARY LINEAR DIFFERENTIAL EQUATIONS IN LOCALLY CONVEX SPACES 局部凸空间中常线性微分方程可解性的一些结果
Mathematics of The Ussr-sbornik Pub Date : 1992-02-28 DOI: 10.1070/SM1992v071n01ABEH002126
S. Shkarin
{"title":"SOME RESULTS ON SOLVABILITY OF ORDINARY LINEAR DIFFERENTIAL EQUATIONS IN LOCALLY CONVEX SPACES","authors":"S. Shkarin","doi":"10.1070/SM1992v071n01ABEH002126","DOIUrl":"https://doi.org/10.1070/SM1992v071n01ABEH002126","url":null,"abstract":"Let be the class of sequentially complete locally convex spaces such that an existence theorem holds for the linear Cauchy problem , , with respect to functions . It is proved that if , then for an arbitrary set . It is also proved that a topological product of infinitely many infinite-dimensional Frechet spaces, each not isomorphic to , does not belong to .","PeriodicalId":208776,"journal":{"name":"Mathematics of The Ussr-sbornik","volume":"45-46 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1992-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121384878","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 16
Periodic Factor Groups of Hyperbolic Groups 双曲群的周期因子群
Mathematics of The Ussr-sbornik Pub Date : 1992-02-28 DOI: 10.1070/SM1992V072N02ABEH002149
A. Ol'shanskii
{"title":"Periodic Factor Groups of Hyperbolic Groups","authors":"A. Ol'shanskii","doi":"10.1070/SM1992V072N02ABEH002149","DOIUrl":"https://doi.org/10.1070/SM1992V072N02ABEH002149","url":null,"abstract":"It is proved that for any noncyclic hyperbolic torsion-free group there exists an integer such that the factor group is infinite for any odd . In addition, . (Here is the subgroup generated by the th powers of all elements of the groups .)","PeriodicalId":208776,"journal":{"name":"Mathematics of The Ussr-sbornik","volume":"2010 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1992-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127354079","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 21
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