DOAJ Open Access 2024

Positive solutions for a p-Laplacian equation arising from micro-electromechanical systems model

Arij Bouzelmate Hikmat El Baghouri Fatima Sennouni

Abstrak

In the present research paper, we investigate the positive solutions of the equation ΔpV=g(|x|)V−q(x),x∈RN, where N>p>2, 0<q≠1 and g is a continuous radial and strictly positive function on [0,+∞[.We consider various assumptions on the function g and delve into the intricate analysis of sky states and singular sky states solutions through logarithmic transformations. Additionally, we apply the theory of invariant manifolds in dynamical systems to establish the uniqueness of singular sky states.

Topik & Kata Kunci

Applied mathematics. Quantitative methods

Penulis (3)

Arij Bouzelmate

Hikmat El Baghouri

Fatima Sennouni

Format Sitasi

APA MLA BibTeX

Bouzelmate, A., Baghouri, H.E., Sennouni, F. (2024). Positive solutions for a p-Laplacian equation arising from micro-electromechanical systems model. https://doi.org/10.1016/j.padiff.2024.100782

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Informasi Jurnal

Tahun Terbit: 2024
Sumber Database: DOAJ
DOI: 10.1016/j.padiff.2024.100782
Akses: Open Access ✓