Abstract
Our aim in this paper is to deal with boundary limits of monotone Sobolev functions for the double phase functional $\Phi_{p,q}(x,t) = t^{p} + (b(x) t)^{q}$ in the unit ball ${\bf B}$ of ${\mathbb R}^n$, where 1 < $p$ < $q$ < $\infty$ and $b(\cdot)$ is a non-negative bounded function on ${\bf B}$ which is Hölder continuous of order $\theta \in (0,1]$.
Citation
Yoshihiro Mizuta. Tetsu Shimomura. "Boundary limits of monotone Sobolev functions for double phase functionals." Osaka J. Math. 57 (4) 819 - 826, October 2020.
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