Laurence, Peter; Stredulinsky, Edward On quasiconvex equimeasurable rearrangement, a counterexample and an example. (English) Zbl 0848.35003 J. Reine Angew. Math. 447, 63-81 (1994). This paper concerns the existence of “quasiconvex equimeasurable rearrangement”, which reduces \(L^p\) gradient norm (with \(p> 1\)), preserves the distribution function and renders all level sets convex. The interaction between variational problems, partial differential equations encountered in analysis and in mathematical physics, and symmetrization and rearrangement techniques has proved a fruitful motivation for studying such a process. Reviewer: Sebastian Aniţa (Iaşi) Cited in 1 Document MSC: 35A15 Variational methods applied to PDEs 35J50 Variational methods for elliptic systems Keywords:symmetrization and rearrangement techniques PDF BibTeX XML Cite \textit{P. Laurence} and \textit{E. Stredulinsky}, J. Reine Angew. Math. 447, 63--81 (1994; Zbl 0848.35003) Full Text: Crelle EuDML