Found 149 Documents (Results 1–100)
The Gauss image problem with weak Aleksandrov condition. (English) Zbl 07919639
Reviewer: Rolf Schneider (Freiburg im Breisgau)
Uniqueness when the \(L_p\) curvature is close to be a constant for \(p\in[0, 1)\). (English) Zbl 1542.52004
The \(L_p\) chord Minkowski problem in a critical interval. (English) Zbl 07867553
Reviewer: Rolf Schneider (Freiburg im Breisgau)
Diameter estimate for planar \(L_p\) dual Minkowski problem. (English) Zbl 1542.52002
Reviewer: Robert Dawson (Halifax)
Uniqueness of solutions to some classes of anisotropic and isotropic curvature problems. (English) Zbl 1541.53011
On existence of the even \(L_p\) Gaussian Minkowski problem for \(p > n\). (English) Zbl 1542.52011
Reviewer: Boris Rubin (Baton Rouge)
MSC:
52A40
Limit theorems for the volumes of small codimensional random sections of \(\ell_{p}^{n}\)-balls. (English) Zbl 1539.60009
Reviewer: Andrew Wade (Durham)
On the uniqueness of solutions to the isotropic \(L_p\) dual Minkowski problem. (English) Zbl 07804838
Reviewer: Gabriela Cristescu (Arad)
Flow by Gauss curvature to the \(L_p\) dual Minkowski problem. (English) Zbl 1540.53113
Reviewer: Leonardo Francisco Cavenaghi (Campinas)
On the planar Gaussian-Minkowski problem. (English) Zbl 1536.52011
Reviewer: Niufa Fang (Chongqing)
Reconstruction problems of convex bodies from surface area measures and lightness functions. (English) Zbl 1525.52002
A flow approach to the planar \(L_p\) Minkowski problem. (English) Zbl 1525.53098
Reviewer: Rolf Schneider (Freiburg im Breisgau)
Curvature functionals on convex bodies. (English) Zbl 1528.52004
Reviewer: Andriy Prymak (Winnipeg)
The Orlicz Brunn-Minkowski inequality for the first eigenvalue of \(p\)-Laplacian. (English) Zbl 1526.35127
Reviewer: Qin Dongdong (Changsha)
MSC:
35J05
A priori bounds, existence, and uniqueness of smooth solutions to an anisotropic \(L_p\) Minkowski problem for log-concave measure. (English) Zbl 1519.35197
The Orlicz Minkowski problem for cone-volume measure. (English) Zbl 07706470
Reviewer: Ana María Botero (Bielefeld)
MSC:
52A40
On the existence of solutions to the Orlicz Aleksandrov problem. (English) Zbl 1519.52002
Reviewer: Gabriela Cristescu (Arad)
On the existence of solutions to the Orlicz-Minkowski problem for torsional rigidity. (English) Zbl 1521.52001
Reviewer: Eugenia Saorín Gómez (Bremen)
The \((\varphi, \psi)\) Orlicz mixed Petty bodies. (English) Zbl 1518.52004
Reviewer: Maria Aparecida Soares Ruas (São Carlos)
On the polar Orlicz Minkowski type problem for the general mixed \(\mathfrak{p}\)-capacity. (English) Zbl 1512.52010
Reviewer: Maria A. Hernández Cifre (Murcia)
MSC:
52A40
The \(L_p\) chord Minkowski problem. (English) Zbl 07655242
Reviewer: Maria A. Hernández Cifre (Murcia)
MSC:
52A38
Convex hypersurfaces with prescribed Musielak-Orlicz-Gauss image measure. (English) Zbl 1511.35209
MSC:
35J96
Lipschitz star bodies. (English) Zbl 1538.52006
The Hadwiger theorem on convex functions. IV: The Klain approach. (English) Zbl 1510.26008
Reviewer: Rolf Schneider (Freiburg im Breisgau)
The \(L_p\) John ellipsoids for general measures. (English) Zbl 1505.52004
Reviewer: Rolf Schneider (Freiburg im Breisgau)
A class of inverse curvature flows and \(L^p\) dual Christoffel-Minkowski problem. (English) Zbl 1512.53089
Reviewer: Emil Saucan (Karmiel)
\(k\)-codimensional projection bodies. (English) Zbl 1505.52009
Reviewer: Martin Henk (Berlin)
Deforming a convex hypersurface by anisotropic inverse Gaussian curvature flows. (Chinese. English summary) Zbl 07800960
\(L_p\)-cosine transform of the \((p,q)\)-th dual curvature measure. (English) Zbl 1525.52001
Reviewer: Fabian Mußnig (Wien)
An isoperimetric inequality for the first Steklov-Dirichlet Laplacian eigenvalue of convex sets with a spherical hole. (English) Zbl 1516.35281
Continuity of the solution to the \(L_p\) Minkowski problem in Gaussian probability space. (English) Zbl 1512.52014
Reviewer: Maria A. Hernández Cifre (Murcia)
Inverse Gauss curvature flows and Orlicz Minkowski problem. (English) Zbl 1510.53111
Reviewer: Zsolt Lángi (Budapest)
Uniqueness of solutions to the logarithmic Minkowski problem in \(\mathbb{R}^3\). (English) Zbl 1509.52006
Reviewer: Ana Pereira do Vale (Braga)
On the \(L^p\) Aleksandrov problem for negative \(p\). (English) Zbl 1497.52005
Reviewer: Rolf Schneider (Freiburg im Breisgau)
\(L_p\)-curvature measures and \(L_{p, q}\)-mixed volumes. (English) Zbl 1502.52009
Reviewer: Gaiane Panina (Sankt-Peterburg)
MSC:
52A39
The Orlicz Minkowski problem for general measures. (English) Zbl 1501.52008
Reviewer: Georgios Psaradakis (Kastoria)
The Hadwiger theorem on convex functions. III: Steiner formulas and mixed Monge-Ampère measures. (English) Zbl 1512.26009
Reviewer: Georgios Psaradakis (Kastoria)
On the generalized \(L_q\)-reflector inverse problem with variational methods. (English) Zbl 1510.52002
The \(L_p\) Brunn-Minkowski inequalities for dual quermassintegrals. (English) Zbl 1497.52016
Reviewer: Eugenia Saorín Gómez (Bremen)
Existence and uniqueness of solutions to the Orlicz Aleksandrov problem. (English) Zbl 1495.52008
Reviewer: Yiming Zhao (Syracuse)
On the \(L_q\)-reflector problem in \(\mathbb{R}^n\) with non-Euclidean norm. (English) Zbl 1489.78012
Asymptotic convergence for a class of anisotropic curvature flows. (English) Zbl 1500.53094
Reviewer: Shu-Yu Hsu (Chiayi)
A flow method for a generalization of \(L_p\) Christofell-Minkowski problem. (English) Zbl 1485.35253
Anisotropic Gauss curvature flows and their associated dual Orlicz-Minkowski problems. (English) Zbl 1485.35252
On the Orlicz Minkowski problem for logarithmic capacity. (English) Zbl 1489.52006
Reviewer: Eugenia Saorín Gómez (Bremen)
The functional form of the dual mixed volume. (English) Zbl 1486.52018
Reviewer: Maria A. Hernández Cifre (Murcia)
The \(L_p\)-Gaussian Minkowski problem. (English) Zbl 1480.52006
Reviewer: Sorin-Mihai Grad (Paris)
Flow expanding by Gauss curvature to \(L_p\) dual Minkowski problems. (English) Zbl 1487.53118
Reviewer: Jiguang Bao (Beijing)
Convex geometry and its applications. Abstracts from the workshop held December 12–18, 2021 (hybrid meeting). (English) Zbl 1506.00039
The \(L_p\) dual Minkowski problem about \(0 < p < 1\) and \(q > 0\). (English) Zbl 1487.52007
Reviewer: Rolf Schneider (Freiburg im Breisgau)
Random inscribed polytopes in projective geometries. (English) Zbl 1486.52007
Reviewer: Rolf Schneider (Freiburg im Breisgau)
\((p, q)\)-John ellipsoids. (English) Zbl 1477.52011
Reviewer: Gabriela Cristescu (Arad)
Sharp affine isoperimetric inequalities for the volume decomposition functionals of polytopes. (English) Zbl 1479.52015
Reviewer: Maria A. Hernández Cifre (Murcia)
Valuations on log-concave functions. (English) Zbl 1475.26011
Reviewer: Sorin-Mihai Grad (Paris)
The planar \(L_p\) dual Minkowski problem. (English) Zbl 1491.34057
Reviewer: Lienhard Wimmer (Isny)
Sharp inequalities related to the functional \(U_j\) and some applications. (English) Zbl 1467.52014
Reviewer: George Stoica (Saint John)
MSC:
52A40
Variations of a class of Monge-Ampère-type functionals and their applications. (English) Zbl 1468.35047
Reviewer: Marius Ghergu (Dublin)
\(C^{1,1}\) regularity for solutions to the degenerate \(L_p\) dual Minkowski problem. (English) Zbl 1467.35193
The Minkowski problem in Gaussian probability space. (English) Zbl 1466.52010
Reviewer: George Stoica (Saint John)
General \((p,q)\)-mixed projection bodies. (English) Zbl 1478.52002
Reviewer: Rolf Schneider (Freiburg im Breisgau)
On the uniqueness and continuity of the dual area measure. (English) Zbl 1461.52011
Reviewer: Niufa Fang (Chongqing)
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