On the regularity of solutions to a generalization of the Minkowski problem
From MaRDI portal
Publication:1891991
DOI10.4310/jdg/1214456011zbMath0867.52003OpenAlexW1543217262WikidataQ115178699 ScholiaQ115178699MaRDI QIDQ1891991
Erwin Lutwak, Vladimir I. Oliker
Publication date: 6 July 1997
Published in: Journal of Differential Geometry (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4310/jdg/1214456011
Global surface theory (convex surfaces à la A. D. Aleksandrov) (53C45) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)
Related Items (only showing first 100 items - show all)
On the 2-dimensional dual Minkowski problem ⋮ A generalization of \(L_{p}\)-Brunn-Minkowski inequalities and \(L_{p}\)-Minkowski problems for measures ⋮ Asymptotic convergence for a class of anisotropic curvature flows ⋮ A unified flow approach to smooth, even \(L_p\)-Minkowski problems ⋮ Surface bodies and \(p\)-affine surface area ⋮ Mirror symmetric solutions to the centro-affine Minkowski problem ⋮ \(L_p\) Minkowski problem with not necessarily positive data ⋮ The \(L_{p}\)-Minkowski problem for \(-n < p < 1\) ⋮ A class of inverse curvature flows and 𝐿^{𝑝} dual Christoffel-Minkowski problem ⋮ The \(L_p\) dual Minkowski problem about \(0 < p < 1\) and \(q > 0\) ⋮ Deforming a hypersurface by principal radii of curvature and support function ⋮ The spherical convex floating body ⋮ A flow approach to the Musielak-Orlicz-Gauss image problem ⋮ On the \(L_p\) dual Minkowski problem ⋮ Contributions to affine surface area ⋮ The discrete Orlicz-Minkowski problem for \(p\)-capacity ⋮ On the $L_{p}$-Minkowski problem ⋮ Centro–affine curvature flows on centrally symmetric convex curves ⋮ The Centro-Affine Hadwiger Theorem ⋮ Asymmetric affine \(L_p\) Sobolev inequalities ⋮ Multiple solutions of the \(L_{p}\)-Minkowski problem ⋮ On the uniqueness and continuity of the dual area measure ⋮ The Minkowski problem for polytopes ⋮ On a planar conformal curvature problem ⋮ The discrete logarithmic Minkowski problem for \(q\)-capacity ⋮ The \(L_p\)-Brunn-Minkowski inequality for \(p<1\) ⋮ Constrained convex bodies with extremal affine surface areas ⋮ The Hadamard variational formula and the Minkowski problem for \(p\)-capacity ⋮ Note on affine Gagliardo-Nirenberg inequalities ⋮ Smooth solutions to the \(L_p\) dual Minkowski problem ⋮ Floating functions ⋮ The Brunn-Minkowski-Firey inequality for nonconvex sets ⋮ The Orlicz centroid inequality for star bodies ⋮ Uniqueness of solutions to \(L_p\)-Christoffel-Minkowski problem for \(p < 1\) ⋮ Continuity of the solution to the \(L_p\) Minkowski problem in Gaussian probability space ⋮ A curvature flow to the \(L_p\) Minkowski-type problem of \(q\)-capacity ⋮ Convex hypersurfaces with prescribed Musielak-Orlicz-Gauss image measure ⋮ New \(L_p\) affine isoperimetric inequalities ⋮ Ellipsoids and matrix-valued valuations ⋮ A generalized rotationally symmetric case of the centroaffine Minkowski problem ⋮ The affine Pólya-Szegö principle: equality cases and stability ⋮ The minimal affine total variation on \(BV(\mathbb{R}^n)\) ⋮ The generalization of Minkowski problems for polytopes ⋮ On solvability of two-dimensional \(L_{p}\)-Minkowski problem. ⋮ On the number of solutions to the discrete two-dimensional \(L_{0}\)-Minkowski problem. ⋮ A remark on rotationally symmetric solutions to the centroaffine Minkowski problem ⋮ On the Orlicz Minkowski problem for polytopes ⋮ The log-Brunn-Minkowski inequality ⋮ On the stability of the \(p\)-affine isoperimetric inequality ⋮ The Orlicz Brunn-Minkowski inequality ⋮ A \(L_p\) Brunn-Minkowski theory for logarithmic capacity ⋮ Orlicz-Minkowski flows ⋮ An asymmetric affine Pólya-Szegő principle ⋮ Applications of new affine invariant for polytopes ⋮ Continuity of the solution to the dual Minkowski problem for negative indices ⋮ On the discrete Orlicz Minkowski problem ⋮ The logarithmic Minkowski problem for non-symmetric measures ⋮ \(L^p\) Christoffel-Minkowski problem: the case \(1< p<k+1\) ⋮ Parabolic approaches to curvature equations ⋮ The logarithmic Minkowski problem for polytopes ⋮ \(\mathrm{SL}(n)\) invariant valuations on polytopes ⋮ Halfspace depth and floating body ⋮ Sharp convex Lorentz-Sobolev inequalities ⋮ The logarithmic Minkowski problem ⋮ Inequalities for mixed \(p\)-affine surface area ⋮ A generalized affine isoperimetric inequality ⋮ On the \(L_{p}\) Monge-Ampère equation ⋮ General affine surface areas ⋮ The even Orlicz Minkowski problem ⋮ The \(L_p\)-Minkowski problem and the Minkowski problem in centroaffine geometry ⋮ Cone-volume measure and stability ⋮ Geometric measures in the dual Brunn-Minkowski theory and their associated Minkowski problems ⋮ Existence and uniqueness of solutions to Orlicz Minkowski problems involving \(0 < p < 1\) ⋮ Variations of a class of Monge-Ampère-type functionals and their applications ⋮ The \(L_p\) dual Minkowski problem and related parabolic flows ⋮ Smoothness in the \(L_p\) Minkowski problem for \(p<1\) ⋮ The Orlicz Minkowski problem involving \(0 < p < 1 \): from one constant to an infinite interval ⋮ On the discrete Orlicz Minkowski problem. II ⋮ The \(L_p\) Minkowski problem for torsion ⋮ The \(L_p\)-Gaussian Minkowski problem ⋮ Continuity of the solution to the $L_{p}$ Minkowski problem ⋮ Continuity of the solution to the even logarithmic Minkowski problem in the plane ⋮ The Santaló-regions of a convex body ⋮ An extension of Minkowski's theorem and its applications to questions about projections for measures ⋮ On the \(p\)-affine surface area ⋮ Orlicz projection bodies ⋮ Affine Moser-Trudinger and Morrey-Sobolev inequalities ⋮ The Lp Minkowski problem for q-capacity ⋮ The planar Orlicz Minkowski problem for \(p=0\) without even assumptions ⋮ The Orlicz version of the \(L_p\) Minkowski problem for \(- n < p < 0\) ⋮ Remarks on a planar conformal curvature problem ⋮ The \(L_p\) Minkowski type problem for a class of mixed Hessian quotient equations ⋮ The \(L_p\) Minkowski problem for polytopes for \(0 < p < 1\) ⋮ An integral formula for the total mean curvature matrix ⋮ The discrete planar \(L_0\)-Minkowski problem ⋮ Geometry of log-concave functions: the \(L_p\) Asplund sum and the \(L_p\) Minkowski problem ⋮ Nonuniqueness of solutions to the \(L_p\)-Minkowski problem ⋮ On the uniqueness of \(L_p\)-Minkowski problems: the constant \(p\)-curvature case in \(\mathbb{R}^3\) ⋮ The planar Orlicz Minkowski problem in the \(L^1\)-sense ⋮ The planar \(L_{p}\)-Minkowski problem for \(0<p<1\)
This page was built for publication: On the regularity of solutions to a generalization of the Minkowski problem