66 citations · 691 across the 59 of their papers we have counts for
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math.AP2013
A note on zero sets of fractional sobolev functions with negative power of integrability
Armin Schikorra
We extend a Poincaré-type inequality for functions with large zero-sets by Jiang and Lin to fractional Sobolev spaces. As a consequence, we obtain a Hausdorff dimension estimate on…
math.AP2013★ 7 cited
General Existence of Solutions to Dynamic Programming Principle
Qing Liu, Armin Schikorra
We provide an alternative approach to the existence of solutions to dynamic programming equations arising in the discrete game-theoretic interpretations for various nonlinear parti…
math.AP2013★ 3 cited
A Game-Tree approach to discrete infinity Laplacian with running costs
Qing Liu, Armin Schikorra
We give a self-contained and elementary proof for boundedness, existence, and uniqueness of solutions to dynamic programming principles (DPP) for biased tug-of-war games with runni…