6533b86dfe1ef96bd12caa33

RESEARCH PRODUCT

C1,α-regularity for variational problems in the Heisenberg group

Xiao ZhongShirsho Mukherjee

subject

osittaisdifferentiaaliyhtälötNumerical AnalysisregularityHeisenberg groupsApplied Mathematicsp-Laplacian010102 general mathematicsScalar (mathematics)subelliptic equationsHölder condition01 natural sciences35H20 35J70010101 applied mathematicsMaxima and minimaMathematics - Analysis of PDEsweak solutionsPhysics::Atomic and Molecular Clustersp-LaplacianHeisenberg group0101 mathematicsAnalysisMathematical physicsMathematics

description

We study the regularity of minima of scalar variational integrals of $p$-growth, $1<p<\infty$, in the Heisenberg group and prove the H\"older continuity of horizontal gradient of minima.

https://doi.org/10.2140/apde.2021.14.567