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Abstract <p> In this paper, we investigate the <i>Chipot–Weissler equation</i> in the context of the degenerate <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(p\)</EquationSource> </InlineEquation>-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. </p>

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Radial Solutions of the Generalized Chipot–Weissler Nonlinear Elliptic Equation

  • 期刊论文

  • 发表日期：

    2025年12月1日

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  • A. Bouzelmate,
  • I. Raiss

摘要

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.