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Vladimir Oliker
Vladimir Oliker
Professor of Mathematics, Emory University
Verified email at emory.edu - Homepage
Title
Cited by
Cited by
Year
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
2701989
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
2001995
Mathematical aspects of design of beam shaping surfaces in geometrical optics
V Oliker
Trends in nonlinear analysis, 193-224, 2003
1942003
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
1752003
On the numerical solution of the equation and its discretizations, I
VI Oliker, LD Prussner
Numerische Mathematik 54 (3), 271-293, 1989
1501989
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
1021993
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
991999
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
941984
Weak solutions of one inverse problem in geometric optics
LA Caffarelli, VI Oliker
Journal of Mathematical Sciences 154 (1), 39-49, 2008
912008
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
902004
Determination of reflector surfaces from near-field scattering data
SA Kochengin, VI Oliker
Inverse Problems 13 (2), 363, 1997
891997
Computational algorithms for constructing reflectors
SA Kochengin, VI Oliker
Computing and Visualization in Science 6 (1), 15-21, 2003
662003
Optical design of freeform two-mirror beam-shaping systems
V Oliker
JOSA A 24 (12), 3741-3752, 2007
652007
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
612011
Controlling light with freeform multifocal lens designed with supporting quadric method (SQM)
V Oliker
Optics express 25 (4), A58-A72, 2017
552017
Determination of reflector surfaces from near-field scattering data II. Numerical solution
SA Kochengin, VI Oliker
Numerische Mathematik 79 (4), 553-568, 1998
541998
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
522015
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
522005
Spacelike hypersurfaces with constant mean curvature in Lorentz space
JLM Barbosa, VI Oliker
Matemática Contemporânea, 1993
491993
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
462007
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