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The Simplest Cases

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Book cover Extensions of Moser–Bangert Theory

Abstract

In the second part of this memoir, the existence and variational characterizations of the basic solutions of (PDE) that were found in Part I will be used to construct more complex solutions. The new solutions are near formal concatenations of the basic solutions. Hence in the terminology of dynamical systems, they shadow basic solutions, while in the language that has been used in other related settings, they are “multibump” solutions of (PDE). The term “multitransition” solution is more accurate, and it will be used here.

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Correspondence to Paul H. Rabinowitz .

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Rabinowitz, P.H., Stredulinsky, E.W. (2011). The Simplest Cases. In: Extensions of Moser–Bangert Theory. Progress in Nonlinear Differential Equations and Their Applications, vol 81. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-8117-3_6

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