Existence of Solutions to a Class of Semilinear Elliptic Problem with Nonlinear Singular Terms and Variable Exponent
The authors of this paper prove the existence and regularity results for the homogeneous Dirichlet boundary value problem to the equation - div(M(x)∇un)=f(x)/uα(x) with f∈Lm(Ω) (m⩾ 1) and α(x)>0. The results show the dependence of the summability of f in some Lebesgue spaces and on the values of...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2016-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2016/9794739 |
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| _version_ | 1832549987235397632 |
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| author | Ying Chu Yanchao Gao Wenjie Gao |
| author_facet | Ying Chu Yanchao Gao Wenjie Gao |
| author_sort | Ying Chu |
| collection | DOAJ |
| description | The authors of this paper prove the existence and regularity results for the homogeneous Dirichlet boundary value problem to the equation - div(M(x)∇un)=f(x)/uα(x) with f∈Lm(Ω) (m⩾
1) and α(x)>0. The results show the dependence of the summability of f in some Lebesgue spaces and on the values of α(x). |
| format | Article |
| id | doaj-art-3b28d69a4a2a4143be20663b48380130 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-3b28d69a4a2a4143be20663b483801302025-02-03T06:07:53ZengWileyJournal of Function Spaces2314-88962314-88882016-01-01201610.1155/2016/97947399794739Existence of Solutions to a Class of Semilinear Elliptic Problem with Nonlinear Singular Terms and Variable ExponentYing Chu0Yanchao Gao1Wenjie Gao2School of Science, Changchun University of Science and Technology, Changchun 130022, ChinaSchool of Science, Changchun University of Science and Technology, Changchun 130022, ChinaInstitute of Mathematics, Jilin University, Changchun 130012, ChinaThe authors of this paper prove the existence and regularity results for the homogeneous Dirichlet boundary value problem to the equation - div(M(x)∇un)=f(x)/uα(x) with f∈Lm(Ω) (m⩾
1) and α(x)>0. The results show the dependence of the summability of f in some Lebesgue spaces and on the values of α(x).http://dx.doi.org/10.1155/2016/9794739 |
| spellingShingle | Ying Chu Yanchao Gao Wenjie Gao Existence of Solutions to a Class of Semilinear Elliptic Problem with Nonlinear Singular Terms and Variable Exponent Journal of Function Spaces |
| title | Existence of Solutions to a Class of Semilinear Elliptic Problem with Nonlinear Singular Terms and Variable Exponent |
| title_full | Existence of Solutions to a Class of Semilinear Elliptic Problem with Nonlinear Singular Terms and Variable Exponent |
| title_fullStr | Existence of Solutions to a Class of Semilinear Elliptic Problem with Nonlinear Singular Terms and Variable Exponent |
| title_full_unstemmed | Existence of Solutions to a Class of Semilinear Elliptic Problem with Nonlinear Singular Terms and Variable Exponent |
| title_short | Existence of Solutions to a Class of Semilinear Elliptic Problem with Nonlinear Singular Terms and Variable Exponent |
| title_sort | existence of solutions to a class of semilinear elliptic problem with nonlinear singular terms and variable exponent |
| url | http://dx.doi.org/10.1155/2016/9794739 |
| work_keys_str_mv | AT yingchu existenceofsolutionstoaclassofsemilinearellipticproblemwithnonlinearsingulartermsandvariableexponent AT yanchaogao existenceofsolutionstoaclassofsemilinearellipticproblemwithnonlinearsingulartermsandvariableexponent AT wenjiegao existenceofsolutionstoaclassofsemilinearellipticproblemwithnonlinearsingulartermsandvariableexponent |