Multiple solutions for Schrödinger lattice systems with asymptotically linear terms and perturbed terms | Zendy

Guanwei Chen | Zendy; Martin Schechter | Zendy

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Multiple solutions for Schrödinger lattice systems with asymptotically linear terms and perturbed terms

Author(s) -

Guanwei Chen,

Martin Schechter

Publication year - 2021

Publication title -

discrete and continuous dynamical systems - 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.

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