Multiple solutions of quasilinear elliptic equations in ℝn

Huei Li Lin

doi:10.1155/2010/673526

Multiple solutions of quasilinear elliptic equations in ℝⁿ

Huei Li Lin^*

^*此作品的通信作者

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2 引文斯高帕斯（Scopus）

摘要

Assume that Q is a positive continuous function in ℝ^N and satisfies some suitable conditions. We prove that the quasilinear elliptic equation - Δ p u + | u | p - 2 u = Q (z) | u | q - 2 u in ℝ^N admits at least two solutions in ℝ^N (one is a positive ground-state solution and the other is a sign-changing solution).

原文	英語
文章編號	673526
期刊	International Journal of Differential Equations
卷	2010
DOIs	https://doi.org/10.1155/2010/673526
出版狀態	已出版 - 2010

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10.1155/2010/673526

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title = "Multiple solutions of quasilinear elliptic equations in ℝn",

abstract = "Assume that Q is a positive continuous function in ℝN and satisfies some suitable conditions. We prove that the quasilinear elliptic equation - Δ p u + | u | p - 2 u = Q (z) | u | q - 2 u in ℝN admits at least two solutions in ℝN (one is a positive ground-state solution and the other is a sign-changing solution).",

author = "Lin, \{Huei Li\}",

year = "2010",

doi = "10.1155/2010/673526",

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N2 - Assume that Q is a positive continuous function in ℝN and satisfies some suitable conditions. We prove that the quasilinear elliptic equation - Δ p u + | u | p - 2 u = Q (z) | u | q - 2 u in ℝN admits at least two solutions in ℝN (one is a positive ground-state solution and the other is a sign-changing solution).

AB - Assume that Q is a positive continuous function in ℝN and satisfies some suitable conditions. We prove that the quasilinear elliptic equation - Δ p u + | u | p - 2 u = Q (z) | u | q - 2 u in ℝN admits at least two solutions in ℝN (one is a positive ground-state solution and the other is a sign-changing solution).

UR - https://www.scopus.com/pages/publications/84886449065

U2 - 10.1155/2010/673526

DO - 10.1155/2010/673526

M3 - 文章

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SN - 1687-9643

VL - 2010

JO - International Journal of Differential Equations

JF - International Journal of Differential Equations

M1 - 673526

ER -

Multiple solutions of quasilinear elliptic equations in ℝn

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Multiple solutions of quasilinear elliptic equations in ℝⁿ