Almost minimizers to a transmission problem for $(p,q)$-Laplacian

Sunghan Kim, Henrik Shahgholian

This paper concerns almost minimizers of the functional $$J(v,\Omega )={\int }_{\Omega }\left(|D{v}^{+}{|}^p+|D{v}^{-}{|}^q\right)dx,$$ where $1<p\ne q<\infty$ and $\Omega$ is a bounded domain of $\ma…