DOAJ Open Access 2024

Existence of solutions for asymptotically periodic quasilinear Schrödinger equations with local nonlinearities

Jianxin Han Yuting Wei Yanfang Xue

Abstrak

This paper is concerned with the existence of positive solutions for asymptotically periodic quasilinear Schr\"{o}dinger equations. By using a Nehari-type constraint and Moser iteration, we get the existence results which is a complement to the ones in Chu and Liu [Nonlinear Anal. Real World Appl. 44(2018), 118–127]. Moreover, we consider a new reformative asymptotic processes of the potential function and the nonlinearity term is only locally defined.

Topik & Kata Kunci

Penulis (3)

J

Jianxin Han

Y

Yuting Wei

Y

Yanfang Xue

Format Sitasi

Han, J., Wei, Y., Xue, Y. (2024). Existence of solutions for asymptotically periodic quasilinear Schrödinger equations with local nonlinearities. https://doi.org/10.14232/ejqtde.2024.1.18

Akses Cepat

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Informasi Jurnal
Tahun Terbit
2024
Sumber Database
DOAJ
DOI
10.14232/ejqtde.2024.1.18
Akses
Open Access ✓