Finite Morse index solutions of an elliptic equation with supercritical exponent

Edward N Dancer; Yihong Du; Zongming Guo

doi:10.1016/j.jde.2011.02.005

Finite Morse index solutions of an elliptic equation with supercritical exponent

Edward N Dancer, Yihong Du, Zongming Guo

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

108 Citations (Scopus)

Abstract

We study the behavior of finite Morse index solutions of the equation ... We show that the behavior depends crucially on whether p is below or above the critical power p(α). We also demonstrate how a duality method can be used to obtain sharper results.

Original language	English
Pages (from-to)	3281-3310
Journal	Journal of Differential Equations
Volume	250
Issue number	8
DOIs	https://doi.org/10.1016/j.jde.2011.02.005
Publication status	Published - 2011

Keywords

Partial Differential Equations

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10.1016/j.jde.2011.02.005

https://hdl.handle.net/1959.11/8285

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title = "Finite Morse index solutions of an elliptic equation with supercritical exponent",

abstract = "We study the behavior of finite Morse index solutions of the equation ... We show that the behavior depends crucially on whether p is below or above the critical power p(α). We also demonstrate how a duality method can be used to obtain sharper results.",

keywords = "Partial Differential Equations",

author = "Dancer, \{Edward N\} and Yihong Du and Zongming Guo",

year = "2011",

doi = "10.1016/j.jde.2011.02.005",

language = "English",

volume = "250",

pages = "3281--3310",

journal = "Journal of Differential Equations",

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AU - Dancer, Edward N

AU - Du, Yihong

AU - Guo, Zongming

PY - 2011

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N2 - We study the behavior of finite Morse index solutions of the equation ... We show that the behavior depends crucially on whether p is below or above the critical power p(α). We also demonstrate how a duality method can be used to obtain sharper results.

AB - We study the behavior of finite Morse index solutions of the equation ... We show that the behavior depends crucially on whether p is below or above the critical power p(α). We also demonstrate how a duality method can be used to obtain sharper results.

KW - Partial Differential Equations

UR - https://www.scopus.com/pages/publications/79951773771

U2 - 10.1016/j.jde.2011.02.005

DO - 10.1016/j.jde.2011.02.005

M3 - Article

SN - 0022-0396

VL - 250

SP - 3281

EP - 3310

JO - Journal of Differential Equations

JF - Journal of Differential Equations

IS - 8

ER -

Finite Morse index solutions of an elliptic equation with supercritical exponent

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