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- Publisher
- Springer Journals
- Copyright
- Copyright © The Author(s), under exclusive licence to Malaysian Mathematical Sciences Society and Penerbit Universiti Sains Malaysia 2022
- ISSN
- 0126-6705
- eISSN
- 2180-4206
- DOI
- 10.1007/s40840-022-01306-z
- Publisher site
- See Article on Publisher Site
Abstract
In this paper, we apply Phragmén–Lindelöf method to obtain the existence and asymptotic behaviors of sign-changing solutions for quasilinear elliptic systems on conical spaces, without using directly resonance theory. Much more challenging geometric configurations, such as a cone with a rough base bear new and interesting challenges arising from the lateral boundary conditions. These have—at least to our knowledge—not been addressed before.
Journal
Bulletin of the Malaysian Mathematical Sciences Society – Springer Journals
Published: Sep 1, 2022
Keywords: Quasilinear elliptic systems; Phragmén–Lindelöf method; Conical space; 35J10; 35J25; 35J67; 35K15; 34L16; 35P10; 81Q10