Existence of solutions for asymptotically periodic quasilinear Schrödinger equations with local nonlinearities
This paper is concerned with the existence of positive solutions for asymptotically periodic quasilinear Schr\"{o}dinger equations. By using a Nehari-type constraint and Moser iteration, we get the existence results which is a complement to the ones in Chu and Liu [Nonlinear Anal. Real Wo...
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| Language: | English |
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University of Szeged
2024-04-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
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| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=10730 |
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| _version_ | 1841533458258591744 |
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| author | Jianxin Han Yuting Wei Yanfang Xue |
| author_facet | Jianxin Han Yuting Wei Yanfang Xue |
| author_sort | Jianxin Han |
| collection | DOAJ |
| description | This paper is concerned with the existence of positive solutions for asymptotically periodic quasilinear Schr\"{o}dinger equations. By using a Nehari-type constraint and Moser iteration, we get the existence results which is a complement to the ones in Chu and Liu [Nonlinear Anal. Real World Appl. 44(2018), 118–127]. Moreover, we consider a new reformative asymptotic processes of the potential function and the nonlinearity term is only locally defined. |
| format | Article |
| id | doaj-art-00c3797f4d1c4c9096ff0766dce1bbd9 |
| institution | Kabale University |
| issn | 1417-3875 |
| language | English |
| publishDate | 2024-04-01 |
| publisher | University of Szeged |
| record_format | Article |
| series | Electronic Journal of Qualitative Theory of Differential Equations |
| spelling | doaj-art-00c3797f4d1c4c9096ff0766dce1bbd92025-01-15T21:24:58ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752024-04-0120241811810.14232/ejqtde.2024.1.1810730Existence of solutions for asymptotically periodic quasilinear Schrödinger equations with local nonlinearitiesJianxin Han0Yuting WeiYanfang Xue1https://orcid.org/0000-0002-8308-1103Xinyang Normal University, Xinyang, Henan, P.R. ChinaXinyang Normal University, Xinyang, Henan, P.R. ChinaThis paper is concerned with the existence of positive solutions for asymptotically periodic quasilinear Schr\"{o}dinger equations. By using a Nehari-type constraint and Moser iteration, we get the existence results which is a complement to the ones in Chu and Liu [Nonlinear Anal. Real World Appl. 44(2018), 118–127]. Moreover, we consider a new reformative asymptotic processes of the potential function and the nonlinearity term is only locally defined.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=10730quasilinear schrödinger equation$l^\infty$-estimateasymptotically periodicnehari manifold |
| spellingShingle | Jianxin Han Yuting Wei Yanfang Xue Existence of solutions for asymptotically periodic quasilinear Schrödinger equations with local nonlinearities Electronic Journal of Qualitative Theory of Differential Equations quasilinear schrödinger equation $l^\infty$-estimate asymptotically periodic nehari manifold |
| title | Existence of solutions for asymptotically periodic quasilinear Schrödinger equations with local nonlinearities |
| title_full | Existence of solutions for asymptotically periodic quasilinear Schrödinger equations with local nonlinearities |
| title_fullStr | Existence of solutions for asymptotically periodic quasilinear Schrödinger equations with local nonlinearities |
| title_full_unstemmed | Existence of solutions for asymptotically periodic quasilinear Schrödinger equations with local nonlinearities |
| title_short | Existence of solutions for asymptotically periodic quasilinear Schrödinger equations with local nonlinearities |
| title_sort | existence of solutions for asymptotically periodic quasilinear schrodinger equations with local nonlinearities |
| topic | quasilinear schrödinger equation $l^\infty$-estimate asymptotically periodic nehari manifold |
| url | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=10730 |
| work_keys_str_mv | AT jianxinhan existenceofsolutionsforasymptoticallyperiodicquasilinearschrodingerequationswithlocalnonlinearities AT yutingwei existenceofsolutionsforasymptoticallyperiodicquasilinearschrodingerequationswithlocalnonlinearities AT yanfangxue existenceofsolutionsforasymptoticallyperiodicquasilinearschrodingerequationswithlocalnonlinearities |