A Case of Regularity of Solutions to Nonregular Problems
Arrigo Cellina · SIAM Journal on Control and Optimization · 2015
We consider the regularity of solutions to the problem of minimizing $\int_{\Omega} [ L( abla v(x)) + g(x,v(x))]dx \mbox { on } u^0+W^{1,2}_0(\Omega),$ where $L$ is not necessarily differentiable at the origin.