Unified a-priori estimates for minimizers under $p,q-$growth and
exponential growth
Unified a-priori estimates for minimizers under $p,q-$growth and
exponential growth
We propose some general growth conditions on the function $% f=f\left( x,\xi \right) $, including the so-called natural growth, or polynomial, or $p,q-$growth conditions, or even exponential growth, in order to obtain that any local minimizer of the energy integral $\;\int_{\Omega }f\left( x,Du\right) dx\,$ is locally Lipschitz continuous in $\Omega …