On singularly weighted generalized Laplacian systems and their applications
We study the homogeneous Dirichlet boundary value problem of generalized Laplacian systems with a singular weight which may not be integrable. Some explicit intervals which correspond to the existence and nonexistence of positive solutions for the system with the finite asymptotic behaviors of the n...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2018-05-01
|
| Series: | Advances in Nonlinear Analysis |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/anona-2016-0018 |
| _version_ | 1818581856243679232 |
|---|---|
| author | Xu Xianghui Lee Yong-Hoon |
| author_facet | Xu Xianghui Lee Yong-Hoon |
| author_sort | Xu Xianghui |
| collection | DOAJ |
| description | We study the homogeneous Dirichlet boundary value problem of generalized
Laplacian systems with a singular weight which may not be integrable.
Some explicit intervals which correspond to the
existence and nonexistence of positive solutions for the system with the finite asymptotic
behaviors of the nonlinearities at 0 and ∞{\infty} are obtained. |
| first_indexed | 2024-12-16T07:40:08Z |
| format | Article |
| id | doaj.art-ea9d2c7af2044d659fe64db5cf5f5892 |
| institution | Directory Open Access Journal |
| issn | 2191-9496 2191-950X |
| language | English |
| last_indexed | 2024-12-16T07:40:08Z |
| publishDate | 2018-05-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Advances in Nonlinear Analysis |
| spelling | doaj.art-ea9d2c7af2044d659fe64db5cf5f58922022-12-21T22:39:07ZengDe GruyterAdvances in Nonlinear Analysis2191-94962191-950X2018-05-017214916510.1515/anona-2016-0018On singularly weighted generalized Laplacian systems and their applicationsXu Xianghui0Lee Yong-Hoon1Department of Mathematics, Pusan National University, Busan609-735, Republic of KoreaDepartment of Mathematics, Pusan National University, Busan609-735, Republic of KoreaWe study the homogeneous Dirichlet boundary value problem of generalized Laplacian systems with a singular weight which may not be integrable. Some explicit intervals which correspond to the existence and nonexistence of positive solutions for the system with the finite asymptotic behaviors of the nonlinearities at 0 and ∞{\infty} are obtained.https://doi.org/10.1515/anona-2016-0018generalized laplacian systemsingular weightexistencepositive solution34b16 34b18 |
| spellingShingle | Xu Xianghui Lee Yong-Hoon On singularly weighted generalized Laplacian systems and their applications Advances in Nonlinear Analysis generalized laplacian system singular weight existence positive solution 34b16 34b18 |
| title | On singularly weighted generalized Laplacian systems and their applications |
| title_full | On singularly weighted generalized Laplacian systems and their applications |
| title_fullStr | On singularly weighted generalized Laplacian systems and their applications |
| title_full_unstemmed | On singularly weighted generalized Laplacian systems and their applications |
| title_short | On singularly weighted generalized Laplacian systems and their applications |
| title_sort | on singularly weighted generalized laplacian systems and their applications |
| topic | generalized laplacian system singular weight existence positive solution 34b16 34b18 |
| url | https://doi.org/10.1515/anona-2016-0018 |
| work_keys_str_mv | AT xuxianghui onsingularlyweightedgeneralizedlaplaciansystemsandtheirapplications AT leeyonghoon onsingularlyweightedgeneralizedlaplaciansystemsandtheirapplications |