Periodic Solutions of Evolution m-Laplacian Equations with a Nonlinear Convection Term
We show the existence and gradient estimates of periodic solutions in the case of 0≤α<m+1 to the evolution m-Laplacian equations of form ut−div{|∇u|m∇u}+b(u)⋅∇u=f(t)uα+h(x,t), in Ω×ℝ1 with the Dirichlet boundary value condition.
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2007-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2007/27368 |
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| _version_ | 1832548897094893568 |
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| author | Wenjun Liu |
| author_facet | Wenjun Liu |
| author_sort | Wenjun Liu |
| collection | DOAJ |
| description | We show the existence and gradient estimates of periodic solutions
in the case of 0≤α<m+1 to the evolution m-Laplacian equations of form ut−div{|∇u|m∇u}+b(u)⋅∇u=f(t)uα+h(x,t), in Ω×ℝ1 with the Dirichlet boundary value condition. |
| format | Article |
| id | doaj-art-8316fb1b44e44b4e800bfa2d39843743 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2007-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-8316fb1b44e44b4e800bfa2d398437432025-02-03T06:12:46ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252007-01-01200710.1155/2007/2736827368Periodic Solutions of Evolution m-Laplacian Equations with a Nonlinear Convection TermWenjun Liu0College of Mathematics and Physics, Nanjing University of Information Science and Technology, Nanjing 210044, ChinaWe show the existence and gradient estimates of periodic solutions in the case of 0≤α<m+1 to the evolution m-Laplacian equations of form ut−div{|∇u|m∇u}+b(u)⋅∇u=f(t)uα+h(x,t), in Ω×ℝ1 with the Dirichlet boundary value condition.http://dx.doi.org/10.1155/2007/27368 |
| spellingShingle | Wenjun Liu Periodic Solutions of Evolution m-Laplacian Equations with a Nonlinear Convection Term International Journal of Mathematics and Mathematical Sciences |
| title | Periodic Solutions of Evolution m-Laplacian Equations with a Nonlinear Convection Term |
| title_full | Periodic Solutions of Evolution m-Laplacian Equations with a Nonlinear Convection Term |
| title_fullStr | Periodic Solutions of Evolution m-Laplacian Equations with a Nonlinear Convection Term |
| title_full_unstemmed | Periodic Solutions of Evolution m-Laplacian Equations with a Nonlinear Convection Term |
| title_short | Periodic Solutions of Evolution m-Laplacian Equations with a Nonlinear Convection Term |
| title_sort | periodic solutions of evolution m laplacian equations with a nonlinear convection term |
| url | http://dx.doi.org/10.1155/2007/27368 |
| work_keys_str_mv | AT wenjunliu periodicsolutionsofevolutionmlaplacianequationswithanonlinearconvectionterm |