Generalised vectorial infinity-eigenvalue nonlinear problems for L-infinity functionals

Generalised vectorial infinity-eigenvalue nonlinear problems for L-infinity functionals

In this talk Nikos Katzourakis will discuss the minimisation problem discussed in his recent preprint. This includes the infinity-eigenvalue problem as a special case.

Nikos will describe the existence of a minimiser u-infinity with extra properties, derived as the limit of minimisers of approximating constrained Lp  problems as p to infinity. A central contribution and novelty of this work is that u-infinity is shown to solve a divergence PDE with measure coefficients, whose leading term is a divergence counterpart equation of the non-divergence infinity-Laplacian. The results are new even in the scalar case of the infinity-eigenvalue problem.

Speaker

Nikos Katzourakis, University of Reading.

How to attend

If not a member of the Dept. Mathematical Science at the University of Essex, you can register your interest in attending the seminar and request the Zoom’s meeting password by emailing Dr Jesus Martinez-Garcia (jesus.martinez-garcia@essex.ac.uk)