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The Toda system and multiple-end solutions of autonomous planar elliptic problems |
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| Authors: | Manuel del Pino Micha? Kowalczyk |
| Institution: | a Departamento de Ingeniería Matemática and Centro de Modelamiento Matemático (UMI 2807 CNRS), Universidad de Chile, Casilla 170 Correo 3, Santiago, Chile b Université Paris Est and Institut Universitaire de France, France c Department of Mathematics, Chinese University of Hong Kong, Shatin, Hong Kong |
| Abstract: | We prove the existence of a new class of entire, positive solutions for the classical elliptic problem Δu−u+up=0 in R2, when p>2. The solutions we construct are obtained by perturbing the function |
| Keywords: | Bump lines Toda system Dancer solutions Multiple-end CMC surfaces |
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