Existence of solutions to the \(A\)-Laplace system via Young measures
Summary: We study the existence of solutions for the \(A\)-Laplace system of the form \[ \begin{cases} -\Delta_Au & =f\quad\text{in }\Omega,\\ u & =0\quad\text{on }\partial\Omega, \end{cases} \] where \(-\Delta_A u:=-\operatorname{div}(a(\vert Du\vert)Du)\). The existence result is proved by using the technique of Young measures.
scientific article; zbMATH DE number 7372681
scientific article