Vladimir Oliker
Vladimir Oliker
Professor of Mathematics, Emory University
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Cited by
Cited by
Singular nonlinear boundary value problems for second-order ordinary differential equations
JA Gatica, V Oliker, P Waltman
Journal of Differential Equations 79 (1), 62-78, 1989
On the regularity of solutions to a generalization of the Minkowski problem
E Lutwak, V Oliker
Journal of differential geometry 41 (1), 227-246, 1995
Mathematical aspects of design of beam shaping surfaces in geometrical optics
V Oliker
Trends in nonlinear analysis, 193-224, 2003
Optical design of single reflector systems and the Monge–Kantorovich mass transfer problem
T Glimm, V Oliker
Journal of Mathematical Sciences 117 (3), 4096-4108, 2003
On the numerical solution of the equation and its discretizations, i
VI Oliker, LD Prussner
Numerische Mathematik 54 (3), 271-293, 1989
Hypersurfaces in IRn+1 with prescribed gaussian curvature and related equations of monge—ampére type
VI Oliker
Communications in Partial Differential Equations 9 (8), 807-838, 1984
Problem of reflector design with given far-field scattering data
LA Caffarelli, SA Kochengin, VI Oliker
Monge Ampère equation: applications to geometry and optimization 226, 13, 1999
Evolution of nonparametric surfaces with speed depending on curvature II. The mean curvature case
VI Oliker, NN Uraltseva
Communications on pure and applied mathematics 46 (1), 97-135, 1993
Determination of reflector surfaces from near-field scattering data
SA Kochengin, VI Oliker
Inverse problems 13 (2), 363, 1997
Weak solutions of one inverse problem in geometric optics
LA Caffarelli, VI Oliker
Journal of Mathematical Sciences 154, 39-49, 2008
Optical design of two-reflector systems, the Monge-Kantorovich mass transfer problem and Fermat's principle
T Glimm, V Oliker
Indiana University Mathematics Journal, 1255-1277, 2004
Optical design of freeform two-mirror beam-shaping systems
V Oliker
JOSA A 24 (12), 3741-3752, 2007
Designing freeform lenses for intensity and phase control of coherent light with help from geometry and mass transport
V Oliker
Archive for Rational Mechanics and Analysis 201 (3), 1013-1045, 2011
Controlling light with freeform multifocal lens designed with supporting quadric method (SQM)
V Oliker
Optics express 25 (4), A58-A72, 2017
Computational algorithms for constructing reflectors
SA Kochengin, VI Oliker
Computing and Visualization in Science 6 (1), 15-21, 2003
Designing double freeform surfaces for collimated beam shaping with optimal mass transportation and linear assignment problems
LL Doskolovich, DA Bykov, ES Andreev, EA Bezus, V Oliker
Optics Express 26 (19), 24602-24613, 2018
Determination of reflector surfaces from near-field scattering data II. Numerical solution
SA Kochengin, VI Oliker
Numerische Mathematik 79 (4), 553-568, 1998
Supporting quadric method in optical design of freeform lenses for illumination control of a collimated light
V Oliker, J Rubinstein, G Wolansky
Advances in Applied Mathematics 62, 160-183, 2015
Embedding Sn into Rn+ 1 with given integral Gauss curvature and optimal mass transport on Sn
V Oliker
Advances in Mathematics 213 (2), 600-620, 2007
Geometric and variational methods in optical design of reflecting surfaces with prescribed irradiance properties
V Oliker
Nonimaging Optics and Efficient Illumination Systems II 5942, 58-69, 2005
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