Nonlocal capillarity problems with anisotropic kernels

Geometric Aspects of Nonlinear Partial Differential Equations

17 November 14:00 - 15:00

Alessandra De Luca - Ca' Foscari University of Venice

Classical capillarity theory is based on the study of volume-constrained critical points and local/global minimizers of the Gauss free energy of a liquid droplet occupying a region inside a container. \In 2016 Maggi and Valdinoci introduced a family of nonlocal capillarity models where surface tension energies are replaced with fractional interaction energies. \I will discuss a nonlocal capillarity problem involving kernels which are possibly anisotropic and have different homogeneity in order to take into account the possibility that the liquid/air interaction and the liquid/surface one are different.
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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