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

^*Corresponding author for this work

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

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

6 Scopus citations

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.

Original language	English
Pages (from-to)	57-79
Number of pages	23
Journal	Manuscripta Mathematica
Volume	159
Issue number	1-2
DOIs	https://doi.org/10.1007/s00229-018-1037-9
State	Published - 5 May 2019
Externally published	Yes

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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.",

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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.
In: Manuscripta Mathematica, Vol. 159, No. 1-2, 05.05.2019, p. 57-79.

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

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

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JO - Manuscripta Mathematica

JF - Manuscripta Mathematica

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ER -

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

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