Positive solutions of a degenerate elliptic equation with logistic reaction

Shingo Takeuchi

doi:10.1090/S0002-9939-00-05723-3

Positive solutions of a degenerate elliptic equation with logistic reaction

Shingo Takeuchi

研究成果: Article › 査読

51 被引用数 (Scopus)

抄録

The degenerate elliptic equation λΔ_pu + uq–1(1 – u^r) = 0 with zero Dirichlet boundary condition, where λ is a positive parameter, 2 p q and r 0, is studied in three aspects: existence of maximal solution, λ dependence of maximal solution and multiplicity of solutions.

本文言語	English
ページ（範囲）	433-441
ページ数	9
ジャーナル	Proceedings of the American Mathematical Society
巻	129
号	2
DOI	https://doi.org/10.1090/S0002-9939-00-05723-3
出版ステータス	Published - 2001
外部発表	はい

ASJC Scopus subject areas

数学 (全般)
応用数学

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10.1090/S0002-9939-00-05723-3

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abstract = "The degenerate elliptic equation λΔpu + uq–1(1 – ur) = 0 with zero Dirichlet boundary condition, where λ is a positive parameter, 2 p q and r 0, is studied in three aspects: existence of maximal solution, λ dependence of maximal solution and multiplicity of solutions.",

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KW - At hat

KW - Degenerate elliptic equation

KW - Multiple solutions

KW - P-Laplace operator

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JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

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Positive solutions of a degenerate elliptic equation with logistic reaction

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