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张萍, 韩建新. 一类拟线性薛定谔方程解的存在性[J]. 信阳师范学院学报(自然科学版), 2019, 32(3): 352-356. DOI: 10.3969/j.issn.1003-0972.2019.03.002
引用本文: 张萍, 韩建新. 一类拟线性薛定谔方程解的存在性[J]. 信阳师范学院学报(自然科学版), 2019, 32(3): 352-356. DOI: 10.3969/j.issn.1003-0972.2019.03.002
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ZHANG Ping, HAN Jianxin. Existence of Solutions for a Class of Quasilinear Schrödinger Equations[J]. Journal of Xinyang Normal University (Natural Science Edition), 2019, 32(3): 352-356. DOI: 10.3969/j.issn.1003-0972.2019.03.002
Citation: ZHANG Ping, HAN Jianxin. Existence of Solutions for a Class of Quasilinear Schrödinger Equations[J]. Journal of Xinyang Normal University (Natural Science Edition), 2019, 32(3): 352-356. DOI: 10.3969/j.issn.1003-0972.2019.03.002
shu

一类拟线性薛定谔方程解的存在性

Existence of Solutions for a Class of Quasilinear Schrödinger Equations

    摘要
  • 摘要: 研究了一类拟线性薛定谔方程解的存在性问题，在位势强制下，当非线性项在原点处超线性，在无穷远处渐近三次时，利用山路引理，得到了该问题的一个非平凡解.

     

    Abstract: The existence of solutions for a class of quasilinear Schrödinger equations with coercive potential is investigated. By using the mountain pass lemma, a nontrivial solution is obtained when the nonlinear term is asymptotically linear at the origin and asymptotically triple at infinity.

     

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