Infinitely many solutions for quasilinear Schrodinger systems with finite and sign-changing potentials
Infinitely many solutions for quasilinear Schrodinger systems with finite and sign-changing potentials
复制标题
具有有限势和变号势的拟线性薛定谔系统的无穷多个解
DOI：
10.1007/s00033-016-0621-7
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发表时间：
2016
影响因子：
2
通讯作者：
Nie Jianjun
中科院分区：
文献类型：
--
作者：
Guo Yuxia;Nie Jianjun
We consider the following quasilinear Schrödinger system inwith: $$\left\{\begin{array}{l}\sum_{i,j=1}^{N}D_j(a_{ij}(u)D_i u)-\frac{1}{2} \sum_{i,j=1}^{N}D_s a_{ij}(u) D_i u D_j u-A(x) u+F_u(u,v)=0 \\ \sum_{i,j=1}^{N}D_j(a_{ij}(v)D_iv)-\frac{1}{2} \sum_{i,j=1}^{N}D_s a_{ij}(v) D_i v D_j v-B(x)v+F_v(u,v)=0,\end{array} \right.$$where,is the coupling term,andare finite and sign-changing potential functions. Using an approximation scheme and-Laplacian regularization, we prove the existence of infinitely many solutions for system.
