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^*

^*Corresponding author for this work

Center for General Education

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

2 Scopus citations

Abstract

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).

Original language	English
Article number	673526
Journal	International Journal of Differential Equations
Volume	2010
DOIs	https://doi.org/10.1155/2010/673526
State	Published - 2010

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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).",

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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).

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JO - International Journal of Differential Equations

JF - International Journal of Differential Equations

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Multiple solutions of quasilinear elliptic equations in ℝⁿ

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