Study on a class of Schrödinger elliptic system involving a nonlinear operator
This paper considers a class of Schrödinger elliptic system involving a nonlinear operator. Firstly, under the simple condition on and ', we prove the existence of the entire positive bounded radial solutions. Secondly, by using the iterative technique and the method of contradiction, we prove...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Vilnius University Press
2020-09-01
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| Series: | Nonlinear Analysis |
| Subjects: | |
| Online Access: | https://www.journals.vu.lt/nonlinear-analysis/article/view/18385 |
| _version_ | 1811331253375336448 |
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| author | Guotao Wang Zedong Yang Ravi P. Agarwal Lihong Zhang |
| author_facet | Guotao Wang Zedong Yang Ravi P. Agarwal Lihong Zhang |
| author_sort | Guotao Wang |
| collection | DOAJ |
| description | This paper considers a class of Schrödinger elliptic system involving a nonlinear operator. Firstly, under the simple condition on and ', we prove the existence of the entire positive bounded radial solutions. Secondly, by using the iterative technique and the method of contradiction, we prove the existence and nonexistence of the entire positive blow-up radial solutions. Our results extend the previous existence and nonexistence results for both the single equation and systems. In the end, we give two examples to illustrate our results. |
| first_indexed | 2024-04-13T16:16:51Z |
| format | Article |
| id | doaj.art-0d3fd7b5c09c46e19add37f62d33bea8 |
| institution | Directory Open Access Journal |
| issn | 1392-5113 2335-8963 |
| language | English |
| last_indexed | 2024-04-13T16:16:51Z |
| publishDate | 2020-09-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Nonlinear Analysis |
| spelling | doaj.art-0d3fd7b5c09c46e19add37f62d33bea82022-12-22T02:40:02ZengVilnius University PressNonlinear Analysis1392-51132335-89632020-09-0125510.15388/namc.2020.25.18385Study on a class of Schrödinger elliptic system involving a nonlinear operatorGuotao Wang0Zedong Yang1Ravi P. Agarwal2Lihong Zhang3Shanxi Normal UniversityShanxi Normal UniversityTexas A&M UniversityShanxi Normal UniversityThis paper considers a class of Schrödinger elliptic system involving a nonlinear operator. Firstly, under the simple condition on and ', we prove the existence of the entire positive bounded radial solutions. Secondly, by using the iterative technique and the method of contradiction, we prove the existence and nonexistence of the entire positive blow-up radial solutions. Our results extend the previous existence and nonexistence results for both the single equation and systems. In the end, we give two examples to illustrate our results.https://www.journals.vu.lt/nonlinear-analysis/article/view/18385Schrödinger systemnonlinear operatorblow-up solutioniterative method |
| spellingShingle | Guotao Wang Zedong Yang Ravi P. Agarwal Lihong Zhang Study on a class of Schrödinger elliptic system involving a nonlinear operator Nonlinear Analysis Schrödinger system nonlinear operator blow-up solution iterative method |
| title | Study on a class of Schrödinger elliptic system involving a nonlinear operator |
| title_full | Study on a class of Schrödinger elliptic system involving a nonlinear operator |
| title_fullStr | Study on a class of Schrödinger elliptic system involving a nonlinear operator |
| title_full_unstemmed | Study on a class of Schrödinger elliptic system involving a nonlinear operator |
| title_short | Study on a class of Schrödinger elliptic system involving a nonlinear operator |
| title_sort | study on a class of schrodinger elliptic system involving a nonlinear operator |
| topic | Schrödinger system nonlinear operator blow-up solution iterative method |
| url | https://www.journals.vu.lt/nonlinear-analysis/article/view/18385 |
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