Partial regularity of $p(x)$-harmonic maps

Maria Alessandra Ragusa, Atsushi Tachikawa, Hiroshi Takabayashi

Let $(g^{\alpha \beta }(x))$ and $(h_{ij}(u))$ be uniformly elliptic symmetric matrices, and assume that $h_{ij}(u)$ and $p(x)(\ge 2)$ are sufficiently smooth. We prove partial regula…