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

Research output: Contribution to journal › Article › peer-review

56 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	433-441
Number of pages	9
Journal	Proceedings of the American Mathematical Society
Volume	129
Issue number	2
DOIs	https://doi.org/10.1090/S0002-9939-00-05723-3
Publication status	Published - 2001
Externally published	Yes

Keywords

At core
At hat
Degenerate elliptic equation
Multiple solutions
P-Laplace operator

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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10.1090/S0002-9939-00-05723-3

Cite this

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title = "Positive solutions of a degenerate elliptic equation with logistic reaction",

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.",

keywords = "At core, At hat, Degenerate elliptic equation, Multiple solutions, P-Laplace operator",

author = "Shingo Takeuchi",

year = "2001",

doi = "10.1090/S0002-9939-00-05723-3",

language = "English",

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AU - Takeuchi, Shingo

PY - 2001

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AB - 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.

KW - At core

KW - At hat

KW - Degenerate elliptic equation

KW - Multiple solutions

KW - P-Laplace operator

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VL - 129

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EP - 441

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 2

ER -

Positive solutions of a degenerate elliptic equation with logistic reaction

Abstract

Keywords

ASJC Scopus subject areas

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