Infinitely many solutions for p-Laplacian equation involving critical Sobolev growth

Daomin Cao; Shuangjie Peng; Shusen Yan

doi:10.1016/j.jfa.2012.01.006

Infinitely many solutions for p-Laplacian equation involving critical Sobolev growth

Daomin Cao
, Shuangjie Peng
, Shusen Yan

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

109 Citations (Scopus)

Abstract

In this paper, we will prove the existence of infinitely many solutions for the following elliptic problem with critical Sobolev growth...

Original language	English
Pages (from-to)	2861-2902
Journal	Journal of Functional Analysis
Volume	262
Issue number	6
DOIs	https://doi.org/10.1016/j.jfa.2012.01.006
Publication status	Published - 2012

Keywords

Partial Differential Equations

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10.1016/j.jfa.2012.01.006

https://hdl.handle.net/1959.11/11638

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@article{12e13ce4756c479c944b360b583eb429,

title = "Infinitely many solutions for p-Laplacian equation involving critical Sobolev growth",

abstract = "In this paper, we will prove the existence of infinitely many solutions for the following elliptic problem with critical Sobolev growth...",

keywords = "Partial Differential Equations",

author = "Daomin Cao and Shuangjie Peng and Shusen Yan",

year = "2012",

doi = "10.1016/j.jfa.2012.01.006",

language = "English",

volume = "262",

pages = "2861--2902",

journal = "Journal of Functional Analysis",

issn = "0022-1236",

publisher = "Elsevier Inc",

number = "6",

}

TY - JOUR

T1 - Infinitely many solutions for p-Laplacian equation involving critical Sobolev growth

AU - Cao, Daomin

AU - Peng, Shuangjie

AU - Yan, Shusen

PY - 2012

Y1 - 2012

N2 - In this paper, we will prove the existence of infinitely many solutions for the following elliptic problem with critical Sobolev growth...

AB - In this paper, we will prove the existence of infinitely many solutions for the following elliptic problem with critical Sobolev growth...

KW - Partial Differential Equations

U2 - 10.1016/j.jfa.2012.01.006

DO - 10.1016/j.jfa.2012.01.006

M3 - Article

SN - 0022-1236

VL - 262

SP - 2861

EP - 2902

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

IS - 6

ER -

Infinitely many solutions for p-Laplacian equation involving critical Sobolev growth

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