The Sobolev class where a weak solution is a local minimizer
The Sobolev class where a weak solution is a local minimizer
The aim of this paper is to propose some results which we hope could contribute to understand better Lavrentiev's phenomenon for energy integrals as in (1.1) under some $p,q$-growth conditions as in (1.2); in fact, we expect that Lavrentiev's phenomenon does not occur if the quotient $q/p$ is not too …