The existence of entropy solutions for the nonlinear elliptic problems with variable exponents in weighted Sobolev space(一类具变指数的非线性椭圆方程在加权Sobolev空间中熵解的存在性)
运用截断函数方法以及变指数在加权Sobolev空间中的嵌入关系，通过选取适当的检验函数，证明了一类非线性椭圆方程熵解的存在性。
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| Format: | Article |
| Language: | zho |
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Zhejiang University Press
2022-09-01
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| Series: | Zhejiang Daxue xuebao. Lixue ban |
| Subjects: | |
| Online Access: | https://doi.org/10.3785/j.issn.1008-9497.2022.05.004 |
| _version_ | 1797235653549752320 |
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| author | DAILili(代丽丽) |
| author_facet | DAILili(代丽丽) |
| author_sort | DAILili(代丽丽) |
| collection | DOAJ |
| description | 运用截断函数方法以及变指数在加权Sobolev空间中的嵌入关系，通过选取适当的检验函数，证明了一类非线性椭圆方程熵解的存在性。 |
| first_indexed | 2024-04-24T16:51:23Z |
| format | Article |
| id | doaj.art-0c816b42ff524f808ca78ec360c45bc6 |
| institution | Directory Open Access Journal |
| issn | 1008-9497 |
| language | zho |
| last_indexed | 2024-04-24T16:51:23Z |
| publishDate | 2022-09-01 |
| publisher | Zhejiang University Press |
| record_format | Article |
| series | Zhejiang Daxue xuebao. Lixue ban |
| spelling | doaj.art-0c816b42ff524f808ca78ec360c45bc62024-03-29T01:58:40ZzhoZhejiang University PressZhejiang Daxue xuebao. Lixue ban1008-94972022-09-0149554054810.3785/j.issn.1008-9497.2022.05.004The existence of entropy solutions for the nonlinear elliptic problems with variable exponents in weighted Sobolev space(一类具变指数的非线性椭圆方程在加权Sobolev空间中熵解的存在性)DAILili(代丽丽)0https://orcid.org/0000-0002-6376-6949Institute of Mathematics, Tonghua Normal University, Tonghua 134002, Jilin Province, China(通化师范学院数学学院，吉林 通化 134002)运用截断函数方法以及变指数在加权Sobolev空间中的嵌入关系，通过选取适当的检验函数，证明了一类非线性椭圆方程熵解的存在性。https://doi.org/10.3785/j.issn.1008-9497.2022.05.004非线性椭圆方程截断函数加权sobolev空间权函数 |
| spellingShingle | DAILili(代丽丽) The existence of entropy solutions for the nonlinear elliptic problems with variable exponents in weighted Sobolev space(一类具变指数的非线性椭圆方程在加权Sobolev空间中熵解的存在性) Zhejiang Daxue xuebao. Lixue ban 非线性椭圆方程 截断函数 加权sobolev空间 权函数 |
| title | The existence of entropy solutions for the nonlinear elliptic problems with variable exponents in weighted Sobolev space(一类具变指数的非线性椭圆方程在加权Sobolev空间中熵解的存在性) |
| title_full | The existence of entropy solutions for the nonlinear elliptic problems with variable exponents in weighted Sobolev space(一类具变指数的非线性椭圆方程在加权Sobolev空间中熵解的存在性) |
| title_fullStr | The existence of entropy solutions for the nonlinear elliptic problems with variable exponents in weighted Sobolev space(一类具变指数的非线性椭圆方程在加权Sobolev空间中熵解的存在性) |
| title_full_unstemmed | The existence of entropy solutions for the nonlinear elliptic problems with variable exponents in weighted Sobolev space(一类具变指数的非线性椭圆方程在加权Sobolev空间中熵解的存在性) |
| title_short | The existence of entropy solutions for the nonlinear elliptic problems with variable exponents in weighted Sobolev space(一类具变指数的非线性椭圆方程在加权Sobolev空间中熵解的存在性) |
| title_sort | existence of entropy solutions for the nonlinear elliptic problems with variable exponents in weighted sobolev space 一类具变指数的非线性椭圆方程在加权sobolev空间中熵解的存在性 |
| topic | 非线性椭圆方程 截断函数 加权sobolev空间 权函数 |
| url | https://doi.org/10.3785/j.issn.1008-9497.2022.05.004 |
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