Trivial Stationary Solutions to the Kuramoto-Sivashinsky and Certain Nonlinear Elliptic Equations

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We show that the only locally integrable stationary solutions to the integrated Kuramoto-Sivashinsky equation in $R$ and $R^2$ are the trivial constant solutions. We extend our technique and prove similar results to other nonlinear elliptic problems in $\R^N$.
10 pages, Journal Article

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Analysis of PDEs, Mathematical Physics, 35G30, 35J40, 35J60, 80A25, 80A32

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http://salesiana.dossiersoluciones.com/handle/123456789/110376

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0603723
 http://arxiv.org/abs/math/0603723

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arXiv