A supercritical Sobolev type inequality in higher order Sobolev spaces and related higher order elliptic problems

Quôc Anh Ngô, Van Hoang Nguyen

A Sobolev type embedding for radially symmetric functions on the unit ball $B$ in ${\mathbb{R}}^n$, $n\ge 3$, into the variable exponent Lebesgue space $L_{2^{\star }+|x{|}^{\alpha }}(B)$, $2^…