Research Output per year

## Fingerprint Dive into the research topics where Denis Kriventsov is active. These topic labels come from the works of this person. Together they form a unique fingerprint.

Regularity
Mathematics

Free Boundary Problem
Mathematics

Minimizer
Mathematics

Nonlinear Parabolic Equations
Mathematics

Rough Kernel
Mathematics

Nonlocal Equations
Mathematics

Fully Nonlinear
Mathematics

Fully Nonlinear Equations
Mathematics

##
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## Research Output 2013 2019

- 49 Citations
- 4 h-Index
- 8 Article

## A free boundary problem related to thermal insulation: flat implies smooth

Kriventsov, D., Apr 1 2019, In : Calculus of Variations and Partial Differential Equations. 58, 2, 78.Research output: Contribution to journal › Article

Thermal insulation

Free Boundary Problem

Mumford-Shah Functional

Imply

Minimizer

## Regularity for Shape Optimizers: The Degenerate Case

Kriventsov, D. & Lin, F., Aug 1 2019, In : Communications on Pure and Applied Mathematics. 72, 8, p. 1678-1721 44 p.Research output: Contribution to journal › Article

Minimizer

Regularity

Viscosity

Dirichlet Eigenvalues

Vanishing Viscosity

4
Citations
(Scopus)

## Regularity for Shape Optimizers: The Nondegenerate Case

Kriventsov, D. & Lin, F., Aug 1 2018, In : Communications on Pure and Applied Mathematics. 71, 8, p. 1535-1596 62 p.Research output: Contribution to journal › Article

Minimizer

Regularity

Dirichlet Eigenvalues

Free Boundary Problem

Hausdorff Dimension

10
Citations
(Scopus)

## Further Time Regularity for Nonlocal, Fully Nonlinear Parabolic Equations

Chang-Lara, H. A. & Kriventsov, D., May 1 2017, In : Communications on Pure and Applied Mathematics. 70, 5, p. 950-977 28 p.Research output: Contribution to journal › Article

Nonlinear Parabolic Equations

Fully Nonlinear

Parabolic Equation

Regularity

Rough Kernel

7
Citations
(Scopus)

## A free boundary problem related to thermal insulation

Caffarelli, L. A. & Kriventsov, D., Jul 2 2016, In : Communications in Partial Differential Equations. 41, 7, p. 1149-1182 34 p.Research output: Contribution to journal › Article

Harmonic functions

Thermal insulation

Free Boundary Problem

Harmonic Functions

Density Estimates