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math.AP2025
Lower semicontinuity, Stoilow factorization and principal maps
Kari Astala, Daniel Faraco, André Guerra +2
We consider a strengthening of the usual quasiconvexity condition of Morrey in two dimensions, which allows us to prove lower semicontinuity for functionals which are unbounded as…
math.AP2025
Recovering nonsmooth coefficients for higher-order perturbations of a polyharmonic operator
Russell M. Brown, Landon Gauthier, Daniel Faraco
We consider an inverse problem for a higher order elliptic operator where the principal part is the polyharmonic operator with . We show that the map from the…