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

Research output: Contribution to journal › Article › 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.

Original language	English
Pages (from-to)	2596-2616
Number of pages	21
Journal	Journal of Differential Equations
Volume	252
Issue number	3
DOIs	https://doi.org/10.1016/j.jde.2011.09.028
Publication status	Published - 1 Feb 2012
Externally published	Yes

Keywords

Biharmonic equations
Radial solutions
Stability

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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",

language = "English",

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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

Keywords

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