Existence of solutions for asymptotically periodic quasilinear Schrödinger equations with local nonlinearities
This paper is concerned with the existence of positive solutions for asymptotically periodic quasilinear Schrödinger 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(20...
Elmentve itt :
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| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2024
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| Sorozat: | Electronic journal of qualitative theory of differential equations
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| Kulcsszavak: | Schrödinger-egyenlet, Differenciálegyenlet - parciális |
| Tárgyszavak: | |
| doi: | 10.14232/ejqtde.2024.1.18 |
| Online Access: | http://acta.bibl.u-szeged.hu/88820 |
| Tartalmi kivonat: | This paper is concerned with the existence of positive solutions for asymptotically periodic quasilinear Schrödinger 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. |
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| Terjedelem/Fizikai jellemzők: | 18 |
| ISSN: | 1417-3875 |