Existence and stability of entire solutions to a semilinear fourth order elliptic problem

Elvise Berchio; Alberto Farina; Alberto Ferrero; Filippo Gazzola

doi:10.1016/j.jde.2011.09.028

Existence and stability of entire solutions to a semilinear fourth order elliptic problem

Elvise Berchio, Alberto Farina, Alberto Ferrero, Filippo Gazzola

Risultato della ricerca: Contributo su rivista › Articolo in rivista › peer review

Abstract

For a semilinear biharmonic equation with exponential nonlinearity, we study the existence and the asymptotic behavior of entire solutions. Furthermore, their stability and stability outside a compact set of Rn (n≥ 2) is discussed in any space dimension n.

Lingua originale	Inglese
pagine (da-a)	2596-2616
Numero di pagine	21
Rivista	Journal of Differential Equations
Volume	252
Numero di pubblicazione	3
DOI	https://doi.org/10.1016/j.jde.2011.09.028
Stato di pubblicazione	Pubblicato - 1 feb 2012
Pubblicato esternamente	Sì

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10.1016/j.jde.2011.09.028

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title = "Existence and stability of entire solutions to a semilinear fourth order elliptic problem",

abstract = "For a semilinear biharmonic equation with exponential nonlinearity, we study the existence and the asymptotic behavior of entire solutions. Furthermore, their stability and stability outside a compact set of Rn (n≥ 2) is discussed in any space dimension n.",

keywords = "Biharmonic equations, Radial solutions, Stability",

author = "Elvise Berchio and Alberto Farina and Alberto Ferrero and Filippo Gazzola",

year = "2012",

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doi = "10.1016/j.jde.2011.09.028",

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T1 - Existence and stability of entire solutions to a semilinear fourth order elliptic problem

AU - Berchio, Elvise

AU - Farina, Alberto

AU - Ferrero, Alberto

AU - Gazzola, Filippo

PY - 2012/2/1

Y1 - 2012/2/1

N2 - For a semilinear biharmonic equation with exponential nonlinearity, we study the existence and the asymptotic behavior of entire solutions. Furthermore, their stability and stability outside a compact set of Rn (n≥ 2) is discussed in any space dimension n.

AB - For a semilinear biharmonic equation with exponential nonlinearity, we study the existence and the asymptotic behavior of entire solutions. Furthermore, their stability and stability outside a compact set of Rn (n≥ 2) is discussed in any space dimension n.

KW - Biharmonic equations

KW - Radial solutions

KW - Stability

UR - https://www.scopus.com/pages/publications/83055194259

U2 - 10.1016/j.jde.2011.09.028

DO - 10.1016/j.jde.2011.09.028

M3 - Article

SN - 0022-0396

VL - 252

SP - 2596

EP - 2616

JO - Journal of Differential Equations

JF - Journal of Differential Equations

IS - 3

ER -

Existence and stability of entire solutions to a semilinear fourth order elliptic problem

Abstract

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