Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
Bonnesen-Style Isoperimetric Inequalities - MaRDI portal

Bonnesen-Style Isoperimetric Inequalities

From MaRDI portal
Publication:4189744

DOI10.2307/2320297zbMath0404.52012OpenAlexW4233811126MaRDI QIDQ4189744

Robert Osserman

Publication date: 1979

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2320297



Related Items

Droplet minimizers for the Cahn-Hilliard free energy functional, Bonnesen-style inequalities on surfaces of constant curvature, On a logarithmic type nonlocal plane curve flow, Mean projections and finite packings of convex bodies, An efficient diffusion generated motion method for wetting dynamics, Compactness via symmetrization, Bonnesen-type inequalities for surfaces of constant curvature, Inégalité isopérimétrique et calibration. (Isoperimetric inequality and calibration), A reverse isoperimetric inequality for embedded starshaped plane curves, Translative containment measure and symmetric mixed isohomothetic inequalities, The elastica problem under area constraint, A shape optimization problem on planar sets with prescribed topology, Thin shell implies spectral gap up to polylog via a stochastic localization scheme, Bonnesen-style symmetric mixed inequalities, Quantitative isoperimetric inequalities for a class of nonconvex sets, A family of evolution equations connecting area-preserving to length-preserving curve flows, On Bonnesen-style symmetric mixed isohomothetic inequality in \(\mathbb{R}^2\), THE GREEN–OSHER INEQUALITY IN RELATIVE GEOMETRY, Stability results for some fully nonlinear eigenvalue estimates, Bonnesen-style inequality for the first eigenvalue on a complete surface of constant curvature, Reverse Bonnesen style inequalities in a surface \(\mathbb{X}_\epsilon ^2\) of constant curvature, Bonnesen-style inequalities and pseudo-perimeters for polygons, Asymptotic exponential law for the transition time to equilibrium of the metastable kinetic Ising model with vanishing magnetic field, A geometric inequality on mixed volumes, The sharp quantitative Sobolev inequality for functions of bounded variation, On Bonnesen-type inequalities for a surface of constant curvature, On inner parallel bodies and quermassintegrals, The quantitative isoperimetric inequality and related topics, The calculation of the \(L^2\)-norm of the index of a plane curve and related formulas, Geometric stability of the Coulomb energy, A note on expansion of convex plane curves via inverse curvature flow, The Bonnesen isoperimetric inequality in a surface of constant curvature, Entropy of convex functions on \(\mathbb R^d\), A selection principle for the sharp quantitative isoperimetric inequality, An isoperimetric deficit upper bound of the convex domain in a surface of constant curvature, Some Bonnesen-style inequalities for higher dimensions, Unique isoperimetric foliations of asymptotically flat manifolds in all dimensions, A maximum problem of S.-T. Yau for variational \(p\)-capacity, Une relation entre diamètre extrinsèque, intégrale de la courbure de Gauss et inradius pour les hypersurfaces localement convexes d'un espace euclidien. (A relation between external diameter, Gaussian curvature integral and inradius for locally convex hypersurfaces of a Euclidean space), The blow up analysis of the general curve shortening flow, Lower bounds of Cheeger-Osserman type for the first eigenvalue of the n- dimensional fixed membrane problem, A stability version of Hölder's inequality, Stability estimates for the lowest eigenvalue of a Schrödinger operator, The \(\Gamma\)-limit of the two-dimensional Ohta-Kawasaki energy. Droplet arrangement via the renormalized energy, On asymmetry and capacity, On an area-preserving inverse curvature flow of convex closed plane curves, On a length preserving curve flow, Minimizing the mean projections of finite \(\rho \)-separable packings, A variant of the isoperimetric problem. I., A lower bound for the isoperimetric deficit, Bonnesen-style Wulff isoperimetric inequality, The \(\varepsilon\)-positive center set and its applications, Bounds for inclusion measures of convex bodies, On Yau's problem of evolving one curve to another: convex case, On containment measure and the mixed isoperimetric inequality, Derivative relationships between volume and surface area of compact regions in \({\mathbb R}^d\), On isoperimetric inequalities in Minkowski spaces, On an isoperimetric problem with a competing non-local term: quantitative results, Bonnesen's inequality for John domains in \(\mathbb R^n\), Problems on polygons and Bonnesen-type inequalities, A nonlocal isoperimetric problem with dipolar repulsion, A mixed symmetric Chernoff type inequality and its stability properties, An isoperimetric deficit formula, ON A CURVE EXPANDING FLOW WITH A NON-LOCAL TERM, On proportion functions of convex domains, A proof of a general isoperimetric inequality for surfaces, On a family of inverse curvature flows for closed convex plane curves, Flux \& radii within the subconformal capacity, On a non-local perimeter-preserving curve evolution problem for convex plane curves, Stability of a reverse isoperimetric inequality, A non-local area preserving curve flow, On a class of generalized curve flows for planar convex curves, The lower bounds of the mixed isoperimetric deficit, Positive center sets of convex curves, Curve flows with a global forcing term, Isoperimetric phase transitions of two-dimensional droplets, On a non-local area-preserving curvature flow in the plane, Geometrical logarithmic capacitance, A note on the isoperimetric deficit, A sharp reverse Bonnesen-style inequality and generalization, Inequalities for curvature integrals in Euclidean plane, Evolution of an extremum by curvature motion, A sharp isoperimetric inequality in the plane involving Hausdorff distance, On an Isoperimetric Problem with a Competing Nonlocal Term I: The Planar Case, Droplet Minimizers of an Isoperimetric Problem with Long-Range Interactions, Spectral isoperimetric inequalities for Robin Laplacians on 2-manifolds and unbounded cones, The index of a plane curve and Green's formula, Isoperimetric inequalities and conjugate points on Lorentzian surfaces, An isoperimetric inequality with applications to curve shortening, On the lowest eigenvalue of the Laplacian for the intersection of two domains, Positive scalar curvature and the Dirac operator on complete Riemannian manifolds, Curve shortening makes convex curves circular, Deforming convex curves with fixed elastic energy, Can one see the fundamental frequency of a drum?, On Blaschke's extension of Bonnesen's inequality, Stability results for the first eigenvalue of the Laplacian on domains in space forms., Integral representations of quermass-integrals and Bonnesen-Style inequalities, Evolving plane curves by curvature in relative geometries, Faber-Krahn inequalities in sharp quantitative form, Some Bonnesen-style Minkowski inequalities, A Beautiful Inequality by Saint-Venant and Pólya Revisited, On a nonlocal contracting flow for closed convex plane curves, Schur convex functions and the Bonnesen style isoperimetric inequalities for planar convex polygons, Reverse Bonnesen-style inequalities on surfaces of constant curvature, Stochastic analysis and random Schrödinger operators, An Intrinsic Formula for the Cross Ratio in Spherical and Hyperbolic Geometries, On a version of the slicing problem for the surface area of convex bodies, A Faber-Krahn inequality for mixed local and nonlocal operators, Snapshots of non-local constrained mean curvature-type flows, A unified approach to higher order discrete and smooth isoperimetric inequalities, A Lower Bound for the Fundamental Frequency of a Convex Region, Steiner's formula and a variational proof of the isoperimetric inequality, Sharp quantitative stability of the planar Brunn-Minkowski inequality, Stability of quermassintegral inequalities along inverse curvature flows, Some methods for studying stability in isoperimetric type problems, Unnamed Item, Unnamed Item, POSITIVE CENTRE SETS OF CONVEX CURVES AND A BONNESEN TYPE INEQUALITY, A non-local expanding flow of convex closed curves in the plane, The Wills conjecture, Isoperimetric constants and some lower bounds for the eigenvalues of the P-laplacian, Schur-convex functions and isoperimetric inequalities, On the sign of the mountain pass solution, On the minimization of Dirichlet eigenvalues, On a perimeter-preserving plane curve flow, Unnamed Item, A Unified Pythagorean Theorem in Euclidean, Spherical, and Hyperbolic Geometries, A note on Cheeger sets, Bonnesen-Style Inequalities for Minkowski Relative Geometry, Inequalities for dual isoperimetric deficits, Eigenvalue estimate on complete noncompact Riemannian manifolds and applications, On the Minimal Annulus of Triangles and Parallelograms