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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 2025 Volume 118, Issue 5, Pages 951–963 (Mi mzm14992)

Papers published in the English version of the journal

Radial solutions of the generalized Chipot–Weissler nonlinear elliptic equation

A. Bouzelmate, I. Raiss

Université Abdelmalek Essaadi

Abstract: 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.

Keywords: asymptotic behavior, Chipot–Weissler equation, entire solution, existence and uniqueness.

Received: 25.02.2025
Revised: 22.08.2025
Accepted: 01.09.2025

Language: English


 English version:
Mathematical Notes, 2025, 118:5, 951–963

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© Steklov Math. Inst. of RAS, 2026