Almost minimizers for a cooperative system with free boundary

Geometric Aspects of Nonlinear Partial Differential Equations

18 October 14:00 - 15:00

Seongmin Jeon - KTH Royal Institute of Technology

We consider vector-valued almost minimizers for the energy functional \int_{D}|\nabla u|^2+2/(1+q)|u|^{1+q}, 0\leq q< 1. We discuss the regularity of almost minimizers and the "regular" part of the free boundary. The analysis of the free boundary is based on the application of the Weiss-type monotonicity formula and the epiperimetric inequality. This is joint work with Daniela De Silva and Henrik Shahgholian.
Panagiota Daskalopoulos
Columbia University
Alessio Figalli
ETH Zürich
Erik Lindgren
Uppsala University
Henrik Shahgholian
KTH Royal Institute of Technology
Susanna Terracini,
University of Turin


Erik Lindgren

Henrik Shahgholian


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