Existence and stability of forced waves for p-Laplace equations in a shifting habitat
This article concerns the existence and stability of forced waves for p-Laplace equations with a shifting habitat given by a non-decreasing function with a sign change. The existence of forced waves is studied by the monotone iteration method combined with a pair of delicate super- and sub-soluti...
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2025-05-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2025/48/abstr.html |
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| _version_ | 1849235517431873536 |
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| author | Tianyuan Xu Gege Liu Jingxue Yin |
| author_facet | Tianyuan Xu Gege Liu Jingxue Yin |
| author_sort | Tianyuan Xu |
| collection | DOAJ |
| description | This article concerns the existence and stability of forced waves for
p-Laplace equations with a shifting habitat given by a non-decreasing function
with a sign change.
The existence of forced waves is studied by the monotone iteration
method combined with a pair of delicate super- and sub-solutions.
Finally, we develop an approximating weighted energy method to prove
the $L^p$ stability and exponential convergence of forced waves. |
| format | Article |
| id | doaj-art-191e33409069407986ae3cd3d1e46b08 |
| institution | Kabale University |
| issn | 1072-6691 |
| language | English |
| publishDate | 2025-05-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj-art-191e33409069407986ae3cd3d1e46b082025-08-20T04:02:45ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912025-05-01202548,116Existence and stability of forced waves for p-Laplace equations in a shifting habitatTianyuan Xu0Gege Liu1Jingxue Yin2 Guangdong Univ. of Technology, Guangzhou, China South China Normal Univ., Guangzhou, Guangzhou, China South China Normal Univ., Guangzhou, Guangdong, China This article concerns the existence and stability of forced waves for p-Laplace equations with a shifting habitat given by a non-decreasing function with a sign change. The existence of forced waves is studied by the monotone iteration method combined with a pair of delicate super- and sub-solutions. Finally, we develop an approximating weighted energy method to prove the $L^p$ stability and exponential convergence of forced waves.http://ejde.math.txstate.edu/Volumes/2025/48/abstr.htmlforced wavesp-laplacian diffusionshifting habitatsstability |
| spellingShingle | Tianyuan Xu Gege Liu Jingxue Yin Existence and stability of forced waves for p-Laplace equations in a shifting habitat Electronic Journal of Differential Equations forced waves p-laplacian diffusion shifting habitats stability |
| title | Existence and stability of forced waves for p-Laplace equations in a shifting habitat |
| title_full | Existence and stability of forced waves for p-Laplace equations in a shifting habitat |
| title_fullStr | Existence and stability of forced waves for p-Laplace equations in a shifting habitat |
| title_full_unstemmed | Existence and stability of forced waves for p-Laplace equations in a shifting habitat |
| title_short | Existence and stability of forced waves for p-Laplace equations in a shifting habitat |
| title_sort | existence and stability of forced waves for p laplace equations in a shifting habitat |
| topic | forced waves p-laplacian diffusion shifting habitats stability |
| url | http://ejde.math.txstate.edu/Volumes/2025/48/abstr.html |
| work_keys_str_mv | AT tianyuanxu existenceandstabilityofforcedwavesforplaplaceequationsinashiftinghabitat AT gegeliu existenceandstabilityofforcedwavesforplaplaceequationsinashiftinghabitat AT jingxueyin existenceandstabilityofforcedwavesforplaplaceequationsinashiftinghabitat |