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Nonlinear eigenvalue problems for nonhomegenous differential operators

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Free Boundary Problems and Related Topics

We establish some concentration properties for various classes of nonlinear eigenvalue problems with variable exponent. These striking phenomena are due to the combined effect of several terms, a crucial role being the presence of one or several unusual nonlinearities. The treatment is mainly variational and the problems are inspired by models in electrorheological fluids and image processing.

This talk is part of the Isaac Newton Institute Seminar Series series.

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