PARTIAL REGULARITY OF SOLUTIONS OF QUASILINEAR ELLIPTIC SYSTEMS WITH NONSMOOTH CONDITION ON THE CONORMAL DERIVATIVE
Arina Alexeevna Arkhipova · Sbornik Mathematics · 1994
Partial regularity of a generalized solution , , , of a quasilinear elliptic system is proved under a nonsmooth condition on the conormal derivative. The singular set is described; it is proved that for some the Hausdorff dimension of is equal to . In the proof essential use is made of a theorem proved earlier by the author on reverse inequalities with surface integrals.Bibliography: 8 titles.