Multiple solutions for quasilinear elliptic equations with a finite potential well
Multiple solutions for quasilinear elliptic equations with a finite potential well
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DOI：
10.1016/j.jde.2014.06.002
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发表时间：
2014-10
影响因子：
2.4
通讯作者：
Jiaquan Liu;Zhi-Qiang Wang
中科院分区：
文献类型：
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作者：
Jiaquan Liu;Zhi-Qiang Wang
本文研究了一类在过去已受到相当关注的拟线性问题的多解性，包括所谓的修正非线性薛定谔方程。通过结合一种新的变分方法，通过Laplacian正则化和[4]中的紧性论证，我们建立了拟线性Schr dinger型方程的无穷多个束缚态解，推广了[4]中半线性方程的早期工作.
We consider multiplicity of solutions for a class of quasilinear problems which has received considerable attention in the past, including the so called Modified Nonlinear Schrödinger Equations. By combining a new variational approach viaq-Laplacian regularization and the compactness arguments from [4] we establish infinitely many bound state solutions for the quasilinear Schrödinger type equations, extending the earlier work of [4] for semilinear equations.