JournalszaaVol. 38, No. 2pp. 191–208

Partial Regularity of Solutions of Nonlinear Superelliptic Systems with Subquadratic Growth

  • Christoph Hamburger

    Universität Bonn, Germany
Partial Regularity of Solutions of Nonlinear Superelliptic Systems with Subquadratic Growth cover

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Abstract

We prove global partial regularity of weak solutions uu of the Dirichlet problem for the nonlinear superelliptic system div A(x,u,Du)+B(x,u,Du)=0A(x,u,Du) + B(x,u,Du) = 0, under natural subquadratic polynomial growth of the coefficient functions AA and BB. We employ the indirect method of the bilinear form and do not use a Caccioppoli or a reverse Hölder inequality.

Cite this article

Christoph Hamburger, Partial Regularity of Solutions of Nonlinear Superelliptic Systems with Subquadratic Growth. Z. Anal. Anwend. 38 (2019), no. 2, pp. 191–208

DOI 10.4171/ZAA/1634