Аннотация:
In this paper, we investigate the Chipot–Weissler equation in the context of the degenerate $p$-Laplace operator. We establish the existence and uniqueness of an entire solution, proving its strict positivity under specific conditions to be determined. Additionally, we analyze its asymptotic behavior at infinity and conclude some results.
Ключевые слова:
asymptotic behavior, Chipot–Weissler equation, entire solution, existence and uniqueness.
Поступило: 25.02.2025 После доработки: 22.08.2025 Принято к публикации: 01.09.2025