The entire large solutions for a quasilinear Schrödinger elliptic equation by the dual approach
In this paper, we consider a Modified Nonlinear Schrödinger equation Δu−Δ(|u|2γ)|u|2γ−2u=q(x)F(u)Δu−Δ(|u|2γ)|u|2γ−2u=q(x)F(u) on View the MathML sourceRn(n≥3), where View the MathML sourceγ>12, qq is a nonnegative continuous function on View the MathML sourceRn, FF is a continuous positive and no...
| Main Authors: | , , |
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| Format: | Journal Article |
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Pergamon Press
2016
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| Online Access: | http://hdl.handle.net/20.500.11937/44484 |
| _version_ | 1848757014677684224 |
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| author | Zhang, Xinguang Liu, Lishan Wu, Yong Hong |
| author_facet | Zhang, Xinguang Liu, Lishan Wu, Yong Hong |
| author_sort | Zhang, Xinguang |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In this paper, we consider a Modified Nonlinear Schrödinger equation Δu−Δ(|u|2γ)|u|2γ−2u=q(x)F(u)Δu−Δ(|u|2γ)|u|2γ−2u=q(x)F(u) on View the MathML sourceRn(n≥3), where View the MathML sourceγ>12, qq is a nonnegative continuous function on View the MathML sourceRn, FF is a continuous positive and non-decreasing function on [0,∞)[0,∞). We establish sufficient conditions for the existence and nonexistence of positive entire large solutions for the given equation by using the dual approach. |
| first_indexed | 2025-11-14T09:21:22Z |
| format | Journal Article |
| id | curtin-20.500.11937-44484 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T09:21:22Z |
| publishDate | 2016 |
| publisher | Pergamon Press |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-444842017-09-13T14:11:35Z The entire large solutions for a quasilinear Schrödinger elliptic equation by the dual approach Zhang, Xinguang Liu, Lishan Wu, Yong Hong In this paper, we consider a Modified Nonlinear Schrödinger equation Δu−Δ(|u|2γ)|u|2γ−2u=q(x)F(u)Δu−Δ(|u|2γ)|u|2γ−2u=q(x)F(u) on View the MathML sourceRn(n≥3), where View the MathML sourceγ>12, qq is a nonnegative continuous function on View the MathML sourceRn, FF is a continuous positive and non-decreasing function on [0,∞)[0,∞). We establish sufficient conditions for the existence and nonexistence of positive entire large solutions for the given equation by using the dual approach. 2016 Journal Article http://hdl.handle.net/20.500.11937/44484 10.1016/j.aml.2015.11.005 Pergamon Press restricted |
| spellingShingle | Zhang, Xinguang Liu, Lishan Wu, Yong Hong The entire large solutions for a quasilinear Schrödinger elliptic equation by the dual approach |
| title | The entire large solutions for a quasilinear Schrödinger elliptic equation by the dual approach |
| title_full | The entire large solutions for a quasilinear Schrödinger elliptic equation by the dual approach |
| title_fullStr | The entire large solutions for a quasilinear Schrödinger elliptic equation by the dual approach |
| title_full_unstemmed | The entire large solutions for a quasilinear Schrödinger elliptic equation by the dual approach |
| title_short | The entire large solutions for a quasilinear Schrödinger elliptic equation by the dual approach |
| title_sort | entire large solutions for a quasilinear schrödinger elliptic equation by the dual approach |
| url | http://hdl.handle.net/20.500.11937/44484 |