Results 21 to 30 of about 200 (103)

Perimeter under Multiple Steiner Symmetrizations [PDF]

The Journal of Geometric Analysis, 2013
Steiner symmetrization along n linearly independent directions transforms every compact subset of R^n into a set of finite perimeter.
Burchard, Almut, Chambers, Gregory R.
openaire   +3 more sources

Isoperimetric and Functional Inequalities

Моделирование и анализ информационных систем, 2018
We establish lower estimates for an integral functional$$\int\limits_\Omega f(u(x), \nabla u(x)) \, dx ,$$where \(\Omega\) -- a bounded domain in \(\mathbb{R}^n \; (n \geqslant 2)\), an integrand \(f(t,p) \, (t \in [0, \infty),\; p \in \mathbb{R}^n)\) --
Vladimir S. Klimov
doaj   +1 more source

Affine inequalities for L p $L_{p}$ -mixed mean zonoids

Journal of Inequalities and Applications, 2016
In this paper, we introduce the L p $L_{p}$ -mixed mean zonoid of convex bodies K and L, and we prove some important properties for the L p $L_{p}$ -mixed mean zonoid, such as monotonicity, GL ( n ) $\operatorname{GL}(n)$ covariance, and so on.
Tongyi Ma, Yuanyuan Guo, Yibin Feng
doaj   +1 more source

Convergence in shape of Steiner symmetrizations [PDF]

Indiana University Mathematics Journal, 2012
11 ...
BIANCHI, GABRIELE, A. Burchard, GRONCHI, PAOLO, A. Volcic   +3 more
openaire   +2 more sources

Convergence properties of symmetrization processes

, 2022
Steiner symmetrization is well known for its rounding and general convergence properties. We identify a whole family of symmetrizations sharing analogue behaviors: In fact we prove that all these symmetrizations share the same converging symmetrization ...
Jacopo Ulivelli, Ulivelli, Jacopo
core   +1 more source

Estimates for the first eigenfunction of linear eigenvalue problems via Steiner symmetrization [PDF]

, 2009
By means of Steiner symmetrization we get some estimates for the first eigenfunction of a class of linear problems, having as prototype the Laplacian with Dirichlet boundary ...
Francesco Chiacchio, Chiacchio, Francesco, F. Chiacchio   +2 more
core   +1 more source

Convergence of symmetrization processes

, 2022
Steiner and Schwarz symmetrizations, and their most important relatives, the Minkowski, Minkowski-Blaschke, fiber, inner rotational, and outer rotational symmetrizations, are investigated.
Bianchi, Gabriele, Gardner, Richard J., Gronchi, Paolo   +2 more
core   +1 more source

Elliptic Equations and Steiner Symmetrization

, 1992
We present a new proof of comparison results via Steiner symmetrization for solutions of elliptic equations. This proof relies upon a "level sets" argument.Depto. de Análisis Matemático y Matemática AplicadaFac.
Lions, P.L., Alvino, A., LIONS P. L., Trombetti, G., TROMBETTI, GUIDO, DIAZ J. I., ALVINO, ANGELO, Díaz Díaz, Jesús Ildefonso   +7 more
core   +1 more source

The General Minkowski Inequality for Mixed Volume

Journal of Function Spaces
Mixed volume is an important notion in convex geometry, which is the extension of volume and surface area. The Minkowski inequality for mixed volume plays a vital role in convex geometry.
Yusha Lv
doaj   +1 more source

Stability and Rate of Convergence of the Steiner Symmetrization [PDF]

International Mathematics Research Notices, 2017
11 ...
Florentin, D. I., Segal, A.
openaire   +2 more sources