Existence of W01,1Ω Solutions to Non-Coercivity Quasilinear Elliptic Problem
In this paper we consider the existence of W01,1Ω solutions to following kind of problems −div∇up−2∇u/1+uθp−1=fx,x∈Ω;ux=0,x∈∂Ω where Ω is an open bounded subset of RNN>2, maxp−2N+1/p−1N−1,0<θ<1 and 1<p⩽1+N−1/N1−θ+θ, f is a function which belongs to a suitable integrable space....
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2020-01-01
|
| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2020/5017818 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832568668309946368 |
|---|---|
| author | Jimao Xiawu Shuibo Huang Yingyuan Mi Maoji Ri |
| author_facet | Jimao Xiawu Shuibo Huang Yingyuan Mi Maoji Ri |
| author_sort | Jimao Xiawu |
| collection | DOAJ |
| description | In this paper we consider the existence of W01,1Ω solutions to following kind of problems −div∇up−2∇u/1+uθp−1=fx,x∈Ω;ux=0,x∈∂Ω where Ω is an open bounded subset of RNN>2, maxp−2N+1/p−1N−1,0<θ<1 and 1<p⩽1+N−1/N1−θ+θ, f is a function which belongs to a suitable integrable space. |
| format | Article |
| id | doaj-art-cad597b0841c430fbc0e4e158d8d9708 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-cad597b0841c430fbc0e4e158d8d97082025-02-03T00:58:41ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/50178185017818Existence of W01,1Ω Solutions to Non-Coercivity Quasilinear Elliptic ProblemJimao Xiawu0Shuibo Huang1Yingyuan Mi2Maoji Ri3School of Mathematics and Computer science, Northwest Minzu University, Lanzhou, Gansu 730030, ChinaSchool of Mathematics and Computer science, Northwest Minzu University, Lanzhou, Gansu 730030, ChinaSchool of Mathematics and Computer science, Northwest Minzu University, Lanzhou, Gansu 730030, ChinaSchool of Mathematics and Computer science, Northwest Minzu University, Lanzhou, Gansu 730030, ChinaIn this paper we consider the existence of W01,1Ω solutions to following kind of problems −div∇up−2∇u/1+uθp−1=fx,x∈Ω;ux=0,x∈∂Ω where Ω is an open bounded subset of RNN>2, maxp−2N+1/p−1N−1,0<θ<1 and 1<p⩽1+N−1/N1−θ+θ, f is a function which belongs to a suitable integrable space.http://dx.doi.org/10.1155/2020/5017818 |
| spellingShingle | Jimao Xiawu Shuibo Huang Yingyuan Mi Maoji Ri Existence of W01,1Ω Solutions to Non-Coercivity Quasilinear Elliptic Problem Journal of Function Spaces |
| title | Existence of W01,1Ω Solutions to Non-Coercivity Quasilinear Elliptic Problem |
| title_full | Existence of W01,1Ω Solutions to Non-Coercivity Quasilinear Elliptic Problem |
| title_fullStr | Existence of W01,1Ω Solutions to Non-Coercivity Quasilinear Elliptic Problem |
| title_full_unstemmed | Existence of W01,1Ω Solutions to Non-Coercivity Quasilinear Elliptic Problem |
| title_short | Existence of W01,1Ω Solutions to Non-Coercivity Quasilinear Elliptic Problem |
| title_sort | existence of w01 1ω solutions to non coercivity quasilinear elliptic problem |
| url | http://dx.doi.org/10.1155/2020/5017818 |
| work_keys_str_mv | AT jimaoxiawu existenceofw011ōsolutionstononcoercivityquasilinearellipticproblem AT shuibohuang existenceofw011ōsolutionstononcoercivityquasilinearellipticproblem AT yingyuanmi existenceofw011ōsolutionstononcoercivityquasilinearellipticproblem AT maojiri existenceofw011ōsolutionstononcoercivityquasilinearellipticproblem |