#### Filter Results:

- Full text PDF available (9)

#### Publication Year

2004

2016

- This year (0)
- Last 5 years (2)
- Last 10 years (7)

#### Publication Type

#### Co-author

#### Journals and Conferences

Learn More

- L. C. Evans, O. Savin, Wilfrid Gangbo
- SIAM J. Math. Analysis
- 2005

We show that the gradient flow u on L2 generated by the energy functional I[u] := ∫ U Φ(detDu) dx for vector-valued mappings is in some sense “integrable”, meaning that (i) the inverse Jacobian β :=… (More)

- Luis Caffarelli, O. Savin
- 2009

In this paper we study the geometric properties, existence, regularity and related issues for a family of surfaces which are boundaries of sets minimizing certain integral norms. These surfaces can… (More)

- D. de Silva, O. Savin
- 2008

We investigate C1 regularity of minimizers to ́ F (∇u)dx in two dimensions for certain classes of non-smooth convex functionals F . In particular our results apply to the surface tensions that appear… (More)

- O. Savin
- 2007

We prove that entire bounded monotone solutions to fully nonlinear equations in R of the form F (Du) = f(u) are one-dimensional, under appropriate compatibility conditions for F and f. In the… (More)

- Ovidiu Savin, O. Savin
- 2004

We consider the following obstacle problem for Monge-Ampere equation detDu = fχ{u>0} and discuss the regularity of the free boundary ∂{u = 0}. We prove that ∂{u = 0} is C if f is bounded away from 0… (More)

- PANAGIOTA DASKALOPOULOS, Ovidiu Savin, O. Savin, C. S. Lin
- 2008

We study the regularity and behavior at the origin of solutions to the two-dimensional degenerate Monge-Ampère equation detD2u D jxj ̨ with ̨ > 2. We show that when ̨ > 0, solutions admit only two… (More)

- D. de Silva, O. Savin
- 2014

We consider a one-phase free boundary problem involving a fractional Laplacian (−∆), 0 < α < 1, and we prove that “flat free boundaries” are C . We thus extend the known result for the case α = 1/2.

- Valentyn Abakumov, Oleksandr Dynda, Violetta Kapustina, O. Savin
- 2009 10th International Conference - The…
- 2009

In this paper description of present stage of providing of digital broadcasting is given. Some factors and problems of providing of digital broadcasting are discussed.

- Nam Q. Le, Ovidiu Savin, O. Savin
- 2016

We obtainC2,β estimates up to the boundary for solutions to degenerate Monge–Ampère equations of the type det D2u = f in , f ∼ distα(·, ∂ ) near ∂ , α > 0. As a consequence we obtain global C∞… (More)

By a variant of the techniques introduced by the first two authors in [DF] to prove that second derivatives of solutions to the Monge-Ampère equation are locally in L logL, we obtain interior W 2,1+ε… (More)

- ‹
- 1
- ›