Open AccessMultiple solutions for Schrödinger lattice systems with asymptotically linear terms and perturbed terms
Author(s) -
Guanwei Chen,
Martin Schechter
Publication year - 2022
Publication title -
discrete and continuous dynamical systems. series b
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.864
H-Index - 53
eISSN - 1553-524X
pISSN - 1531-3492
DOI - 10.3934/dcdsb.2021124
Subject(s) - lattice (music) , mathematics , class (philosophy) , schrödinger's cat , pure mathematics , mathematical physics , physics , computer science , artificial intelligence , acoustics
In infinite \begin{document}$ m $\end{document} -dimensional lattices, we obtain the existence of two nontrivial solutions for a class of non-periodic Schrödinger lattice systems with perturbed terms, where the potentials are coercive and the nonlinearities are asymptotically linear at infinity. In addition, examples are given to illustrate our results.