23 citations · 31 across the 16 of their papers we have counts for
21 papers
A nonlinear rod linkage model: zero-energy chains and continuum consistency
Dennis Kriventsov, Philippe G. LeFloch
We study a discrete Lagrangian model for a one-dimensional chain of rigid rods coupled by elastic springs. We characterize the geometry of its zero-energy constraint and distinguis…
A complete classification of singularities for radial solutions of the Stefan problem
Dennis Kriventsov, Georg S. Weiss
We investigate singularities of radial solutions of the classical two-phase and one-phase Stefan problem. In a remarkable result, M.A. Herrero and J.J.L. Velazquez show existence o…
Quantitative Resolvent and Eigenfunction Stability for the Faber-Krahn Inequality
Mark Allen, Dennis Kriventsov, Robin Neumayer
For a bounded open set with the same volume as the unit ball, the classical Faber-Krahn inequality says that the first Dirichlet eigenvalue of the…
The free boundary for semilinear problems with highly oscillating singular terms
Mark Allen, Dennis Kriventsov, Henrik Shahgholian
We investigate general semilinear (obstacle-like) problems of the form , where has a singularity/jump at giving rise to a free boundary. Unlike many wor…
Asymptotic expansions for harmonic functions at conical boundary points
Dennis Kriventsov, Zongyuan Li
We prove three theorems about the asymptotic behavior of solutions to the homogeneous Dirichlet problem for the Laplace equation at boundary points with tangent cones. First, u…
Rectifiability, finite Hausdorff measure, and compactness for non-minimizing Bernoulli free boundaries
Dennis Kriventsov, Georg S. Weiss
While there are numerous results on minimizers or stable solutions of the Bernoulli problem proving regularity of the free boundary and analyzing singularities, much less in known…