Explicit L                         ∞                          -norm estimates via Morse index for the bi-harmonic and tri-harmonic semilinear problems

Foued Mtiri; Abdellaziz Harrabi; Dong Ye

doi:10.1007/s00229-018-1037-9

Explicit L ^∞ -norm estimates via Morse index for the bi-harmonic and tri-harmonic semilinear problems

Foued Mtiri^*
, Abdellaziz Harrabi
, Dong Ye

^*此作品的通讯作者

Université de Tunis El Manar
Northern Borders University
University of Kairouan
Université de Lorraine

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6 引用（Scopus）

摘要

In this paper, we establish L ^∞ and L ^p estimates for solutions of some polyharmonic elliptic equations via the Morse index. As far as we know, it seems to be the first time that such explicit estimates are obtained for polyharmonic problems.

源语言	英语
页（从-至）	57-79
页数	23
期刊	Manuscripta Mathematica
卷	159
期	1-2
DOI	https://doi.org/10.1007/s00229-018-1037-9
出版状态	已出版 - 5 5月 2019
已对外发布	是

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title = " Explicit L ∞ -norm estimates via Morse index for the bi-harmonic and tri-harmonic semilinear problems ",

abstract = " In this paper, we establish L ∞ and L p estimates for solutions of some polyharmonic elliptic equations via the Morse index. As far as we know, it seems to be the first time that such explicit estimates are obtained for polyharmonic problems.",

author = "Foued Mtiri and Abdellaziz Harrabi and Dong Ye",

note = "Publisher Copyright: {\textcopyright} 2018, Springer-Verlag GmbH Germany, part of Springer Nature.",

year = "2019",

month = may,

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doi = "10.1007/s00229-018-1037-9",

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Explicit L ^∞ -norm estimates via Morse index for the bi-harmonic and tri-harmonic semilinear problems . / Mtiri, Foued; Harrabi, Abdellaziz; Ye, Dong.
在: Manuscripta Mathematica, 卷 159, 号码 1-2, 05.05.2019, 页码 57-79.

科研成果: 期刊稿件 › 文章 › 同行评审

TY - JOUR

T1 - Explicit L ∞ -norm estimates via Morse index for the bi-harmonic and tri-harmonic semilinear problems

AU - Mtiri, Foued

AU - Harrabi, Abdellaziz

AU - Ye, Dong

PY - 2019/5/5

Y1 - 2019/5/5

N2 - In this paper, we establish L ∞ and L p estimates for solutions of some polyharmonic elliptic equations via the Morse index. As far as we know, it seems to be the first time that such explicit estimates are obtained for polyharmonic problems.

AB - In this paper, we establish L ∞ and L p estimates for solutions of some polyharmonic elliptic equations via the Morse index. As far as we know, it seems to be the first time that such explicit estimates are obtained for polyharmonic problems.

UR - https://www.scopus.com/pages/publications/85047129129

U2 - 10.1007/s00229-018-1037-9

DO - 10.1007/s00229-018-1037-9

M3 - 文章

AN - SCOPUS:85047129129

SN - 0025-2611

VL - 159

SP - 57

EP - 79

JO - Manuscripta Mathematica

JF - Manuscripta Mathematica

IS - 1-2

ER -

Explicit L ∞ -norm estimates via Morse index for the bi-harmonic and tri-harmonic semilinear problems

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Explicit L ^∞ -norm estimates via Morse index for the bi-harmonic and tri-harmonic semilinear problems