Borderline double phase functionals with powers of the logarithm: regularity in the vectorial case

Youlin Choi, Jehan Oh

We study vector-valued local minimizers of the borderline double phase functional whose integrand is $|D\mathbf{w}{|}^p+a(x)|D\mathbf{w}{|}^p{\log }^{\gamma }(e+|D\mathbf{w}|)$, where $p>1$, $γ>0…