Topological Methods in Nonlinear Analysis

Multiple interior layers of solutions to perturbed elliptic Sine-Gordon equation on an interval

Tetsutaro Shibata

Abstract

We consider the perturbed elliptic Sine-Gordon ODE with two positive parameters $\mu$ and $\lambda$, and show the existence of solutions which have $2n$ multiple interior layers for $\lambda \gg 1$. We also determine the location of multiple interior layers as $\lambda \to \infty$.

Article information

Source
Topol. Methods Nonlinear Anal., Volume 15, Number 2 (2000), 329-357.

Dates
First available in Project Euclid: 22 August 2016

https://projecteuclid.org/euclid.tmna/1471873945

Mathematical Reviews number (MathSciNet)
MR1784145

Zentralblatt MATH identifier
0978.34017

Citation

Shibata, Tetsutaro. Multiple interior layers of solutions to perturbed elliptic Sine-Gordon equation on an interval. Topol. Methods Nonlinear Anal. 15 (2000), no. 2, 329--357. https://projecteuclid.org/euclid.tmna/1471873945

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