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: Xiaorong Luo, Anmin Mao, Xiangxiang Wang
Format: Article
Language:English
Published: Wiley 2020-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2020/1894861
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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.
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institution Kabale University
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language English
publishDate 2020-01-01
publisher Wiley
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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