A new partial regularity proof for solutions of nonlinear elliptic systems.
Partial regularity for minimizers of variational integrals with discontinuous integrands
Partial Boundary Regularity of Solutions of Nonlinear Superelliptic Systems
We prove global partial regularity of weaksolutions of the Dirichlet problem for the nonlinear superelliptic system , under natural polynomial growth of the coefficient functions and . We employ the indirect method of the bilinear form and do not use a Caccioppoli or a reverse Hölder inequality.
Optimal partial regularity of minimizers of quasiconvex variational integrals
We prove partial regularity with optimal Hölder exponent of vector-valued minimizers of the quasiconvex variational integral under polynomial growth. We employ the indirect method of the bilinear form.
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