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math.AP2017
A General Theorem of Gauß Using Pure Measures
Moritz Schönherr, Friedemann Schuricht
This paper shows that finitely additive measures occur naturally in very general Divergence Theorems. The main results are two such theorems. The first proves the existence of pure…
math.MG2017★ 3 cited
Pure Measures, Density Measures and the Dual of L-infinity
Moritz Schönherr, Friedemann Schuricht
Measures play an important role in the characterisation of various function spaces. In this paper, the structure of density measures will be investigated. These are elements of the…
math.AP2017
Perturbation results involving the 1-Laplace operator
Samuel Littig, Fridemann Schuricht
We consider perturbed eigenvalue problems of the 1-Laplace operator and verify the existence of a sequence of solutions. It is shown that the eigenvalues of the perturbed problem c…