The Existence of Solutions to the Nonhomogeneous A-Harmonic Equations with Variable Exponent
We first discuss the existence and uniqueness of weak solution for the obstacle problem of the nonhomogeneous A-harmonic equation with variable exponent, and then we obtain the existence of the solutions of the equation d⋆A(x,dω)=B(x,dω) in the weighted variable exponent Sobolev space Wdp(x)(Ω,Λl,μ)...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/280214 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832550215849082880 |
|---|---|
| author | Haiyu Wen |
| author_facet | Haiyu Wen |
| author_sort | Haiyu Wen |
| collection | DOAJ |
| description | We first discuss the existence and uniqueness of weak solution for the obstacle problem of the nonhomogeneous A-harmonic equation with variable exponent, and then we obtain the existence of the solutions of the equation d⋆A(x,dω)=B(x,dω) in the weighted variable exponent Sobolev space Wdp(x)(Ω,Λl,μ). |
| format | Article |
| id | doaj-art-6313818b0c654ab2b5880cc4c622c5bb |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-6313818b0c654ab2b5880cc4c622c5bb2025-02-03T06:07:17ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/280214280214The Existence of Solutions to the Nonhomogeneous A-Harmonic Equations with Variable ExponentHaiyu Wen0Department of Mathematics, Harbin Institute of Technology, Harbin 150001, ChinaWe first discuss the existence and uniqueness of weak solution for the obstacle problem of the nonhomogeneous A-harmonic equation with variable exponent, and then we obtain the existence of the solutions of the equation d⋆A(x,dω)=B(x,dω) in the weighted variable exponent Sobolev space Wdp(x)(Ω,Λl,μ).http://dx.doi.org/10.1155/2014/280214 |
| spellingShingle | Haiyu Wen The Existence of Solutions to the Nonhomogeneous A-Harmonic Equations with Variable Exponent Abstract and Applied Analysis |
| title | The Existence of Solutions to the Nonhomogeneous A-Harmonic Equations with Variable Exponent |
| title_full | The Existence of Solutions to the Nonhomogeneous A-Harmonic Equations with Variable Exponent |
| title_fullStr | The Existence of Solutions to the Nonhomogeneous A-Harmonic Equations with Variable Exponent |
| title_full_unstemmed | The Existence of Solutions to the Nonhomogeneous A-Harmonic Equations with Variable Exponent |
| title_short | The Existence of Solutions to the Nonhomogeneous A-Harmonic Equations with Variable Exponent |
| title_sort | existence of solutions to the nonhomogeneous a harmonic equations with variable exponent |
| url | http://dx.doi.org/10.1155/2014/280214 |
| work_keys_str_mv | AT haiyuwen theexistenceofsolutionstothenonhomogeneousaharmonicequationswithvariableexponent AT haiyuwen existenceofsolutionstothenonhomogeneousaharmonicequationswithvariableexponent |