Differential and Integral Equations

A note on an exponential semilinear equation of the fourth order

Dimitri Mugnai

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In this note we prove some existence and nonexistence results for a semilinear equation of the fourth order involving an exponential function via variational techniques. Such equations may occur while studying traveling waves in suspension bridges.

Article information

Differential Integral Equations, Volume 17, Number 1-2 (2004), 45-52.

First available in Project Euclid: 21 December 2012

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 35J40: Boundary value problems for higher-order elliptic equations
Secondary: 35J35: Variational methods for higher-order elliptic equations 35J65: Nonlinear boundary value problems for linear elliptic equations 74H45: Vibrations


Mugnai, Dimitri. A note on an exponential semilinear equation of the fourth order. Differential Integral Equations 17 (2004), no. 1-2, 45--52. https://projecteuclid.org/euclid.die/1356060471

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