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In recent years, there has been a major impact of topological and variational methods on the study of nonlinear elliptic and parabolic partial differential equations. In particular, surprising results for classical open problems have been obtained with new techniques far beyond the classical approaches. The purpose of the meeting was to provide a forum for these developments and to bring together experts with complementary background.
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Thomas Bartsch, E. Norman Dancer, Topological and Variational Methods for Partial Differential Equations. Oberwolfach Rep. 6 (2009), no. 2, pp. 1427–1486