The Lazer-McKenna conjecture for an elliptic problem with critical growth, part II

Gongbao Li; Shusen Yan; Jianfu Yang

doi:10.1016/j.jde.2006.02.011

The Lazer-McKenna conjecture for an elliptic problem with critical growth, part II

Gongbao Li, Shusen Yan, Jianfu Yang

Mathematics

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

24 Citations (Scopus)

Abstract

We consider an elliptic problem of Ambrosetti–Prodi type involving critical Sobolev exponent. We prove that this problem has solutions blowing up near the boundary of the domain.

Original language	English
Pages (from-to)	301-332
Journal	Journal of Differential Equations
Volume	227
Issue number	1
DOIs	https://doi.org/10.1016/j.jde.2006.02.011
Publication status	Published - 2006

Keywords

Mathematical Sciences

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10.1016/j.jde.2006.02.011

https://hdl.handle.net/1959.11/4340

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title = "The Lazer-McKenna conjecture for an elliptic problem with critical growth, part II",

abstract = "We consider an elliptic problem of Ambrosetti–Prodi type involving critical Sobolev exponent. We prove that this problem has solutions blowing up near the boundary of the domain.",

keywords = "Mathematical Sciences",

author = "Gongbao Li and Shusen Yan and Jianfu Yang",

year = "2006",

doi = "10.1016/j.jde.2006.02.011",

language = "English",

volume = "227",

pages = "301--332",

journal = "Journal of Differential Equations",

issn = "0022-0396",

publisher = "Academic Press",

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T1 - The Lazer-McKenna conjecture for an elliptic problem with critical growth, part II

AU - Li, Gongbao

AU - Yan, Shusen

AU - Yang, Jianfu

PY - 2006

Y1 - 2006

N2 - We consider an elliptic problem of Ambrosetti–Prodi type involving critical Sobolev exponent. We prove that this problem has solutions blowing up near the boundary of the domain.

AB - We consider an elliptic problem of Ambrosetti–Prodi type involving critical Sobolev exponent. We prove that this problem has solutions blowing up near the boundary of the domain.

KW - Mathematical Sciences

UR - https://www.scopus.com/pages/publications/33646538144

U2 - 10.1016/j.jde.2006.02.011

DO - 10.1016/j.jde.2006.02.011

M3 - Article

SN - 0022-0396

VL - 227

SP - 301

EP - 332

JO - Journal of Differential Equations

JF - Journal of Differential Equations

IS - 1

ER -

The Lazer-McKenna conjecture for an elliptic problem with critical growth, part II

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