Multiplicity of Quasilinear Schrödinger Equation
In this paper, we study the quasilinear Schrödinger equation involving concave and convex nonlinearities. When the pair of parameters belongs to a certain subset of ℝ2, we establish the existence of a nontrivial mountain pass-type solution and infinitely many negative energy solutions by using some...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2020/1894861 |
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| _version_ | 1832561429769617408 |
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| author | Xiaorong Luo Anmin Mao Xiangxiang Wang |
| author_facet | Xiaorong Luo Anmin Mao Xiangxiang Wang |
| author_sort | Xiaorong Luo |
| collection | DOAJ |
| description | In this paper, we study the quasilinear Schrödinger equation involving concave and convex nonlinearities. When the pair of parameters belongs to a certain subset of ℝ2, we establish the existence of a nontrivial mountain pass-type solution and infinitely many negative energy solutions by using some new techniques and dual fountain theorem. Recent results from the literature are improved and extended. |
| format | Article |
| id | doaj-art-632b57182ee34b90a7ac8d78f721892b |
| 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-632b57182ee34b90a7ac8d78f721892b2025-02-03T01:24:57ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/18948611894861Multiplicity of Quasilinear Schrödinger EquationXiaorong Luo0Anmin Mao1Xiangxiang Wang2School of Mathematical Sciences, Qufu Normal University, Shandong 273165, ChinaSchool of Mathematical Sciences, Qufu Normal University, Shandong 273165, ChinaSchool of Mathematical Sciences, Qufu Normal University, Shandong 273165, ChinaIn this paper, we study the quasilinear Schrödinger equation involving concave and convex nonlinearities. When the pair of parameters belongs to a certain subset of ℝ2, we establish the existence of a nontrivial mountain pass-type solution and infinitely many negative energy solutions by using some new techniques and dual fountain theorem. Recent results from the literature are improved and extended.http://dx.doi.org/10.1155/2020/1894861 |
| spellingShingle | Xiaorong Luo Anmin Mao Xiangxiang Wang Multiplicity of Quasilinear Schrödinger Equation Journal of Function Spaces |
| title | Multiplicity of Quasilinear Schrödinger Equation |
| title_full | Multiplicity of Quasilinear Schrödinger Equation |
| title_fullStr | Multiplicity of Quasilinear Schrödinger Equation |
| title_full_unstemmed | Multiplicity of Quasilinear Schrödinger Equation |
| title_short | Multiplicity of Quasilinear Schrödinger Equation |
| title_sort | multiplicity of quasilinear schrodinger equation |
| url | http://dx.doi.org/10.1155/2020/1894861 |
| work_keys_str_mv | AT xiaorongluo multiplicityofquasilinearschrodingerequation AT anminmao multiplicityofquasilinearschrodingerequation AT xiangxiangwang multiplicityofquasilinearschrodingerequation |