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20112019
most citedNon-Existence of Positive Stationary Solutions for a Class of Semi-Linear PDEs with Random Coefficients

12 citations · 17 across the 2 of their papers we have counts for

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math.AP2017★ 5 cited

Geometric Rigidity Estimates for Incompatible Fields in Dimension 3

Gianluca Lauteri, Stephan Luckhaus

We prove geometric rigidity inequalities for incompatible fields in dimension higher than 2. We are able to obtain strong scaling-invariant estimates in the supercritical reg…

math.AP2011★ 12 cited

Non-Existence of Positive Stationary Solutions for a Class of Semi-Linear PDEs with Random Coefficients

Jerome Coville, Nicolas Dirr, Stephan Luckhaus

We consider a so-called random obstacle model for the motion of a hypersurface through a field of random obstacles, driven by a constant driving field. The resulting semi-linear pa…