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 . © 2006 Elsevier Inc. All rights reserved.
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