On the 2D Quaternionic Metaharmonic Layer Potentials
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DOI: 10.1007/s00009-017-0995-6
Abstract: This paper aims to study several boundary value properties, to derive a Poincaré–Bertrand formula and to solve some Dirichlet-type problems for the 2D quaternionic metaharmonic layer potentials. read more here.
Keywords: quaternionic metaharmonic; metaharmonic layer; layer potentials;
Layer potentials, Kac's problem, and refined Hardy inequality on homogeneous Carnot groups
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DOI: 10.1016/j.aim.2016.12.013
Abstract: Abstract We propose the analogues of boundary layer potentials for the sub-Laplacian on homogeneous Carnot groups/stratified Lie groups and prove continuity results for them. In particular, we show continuity of the single layer potential and… read more here.
Keywords: sub laplacian; carnot groups; layer potentials; homogeneous carnot ... See more keywords