Results 31 to 40 of about 200 (103)
, 2006 The partial anisotropic symmetrization is defined, extending Steiner symmetrization and convex symmetrization. Inequalities of the type of Hardy-Littlewood, Polya-Szego and Klimov are proved for this symmetrization, while it is shown that Riesz-Sobolev ...
Van Schaftingen, Jean
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Planar Rectangular Sets and Steiner Symmetrization
Elemente der Mathematik, 1998 The paper concerns (in fact) compact convex subsets of the Euclidean plane (though the author does not assume compactness). A set \(K\) is said to be rectangular with respect to a pair of orthogonal lines if no inscribed rectangle with sides parallel to those lines has exactly three of its vertices on the boundary of \(K\).
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Estimates for the first eigenfunction of linear eigenvalue problems via Steiner symmetrization
, 2021 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 ...
Chiacchio, Francesco
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, 2017 In this paper, we consider a Neumann problem for a linear elliptic equation with lower-order terms. A comparison result for solutions of the problem is proved by using Steiner symmetrization.
Fengquan Li, Wenbo Li
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Rigidity for the perimeter inequality under Schwarz symmetrization [PDF]
In this paper, we give necessary and sufficient conditions for the rigidity of the perimeter inequality under Schwarz symmetrization. The term rigidity refers to the situation in which the equality cases are only obtained by translations of the symmetric
Domazakis, Georgios
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On Steiner Symmetrizations of First Exit Time Distributions and Levy Processes
, 2023 The goal of this thesis is to establish generalized isoperimetric inequalities on first exit time distributions as well as expectations of L\'evy processes.
Timothy M Rolling (16642125)
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Steiner symmetrization for anisotropic quasilinear equations via partial discretization
, 2020 In this paper we obtain comparison results for the quasilinear equation −Δp,xu−uyy=f with homogeneous Dirichlet boundary conditions by Steiner rearrangement in variable x, thus solving a long open problem. In fact, we study a broader class of anisotropic
Ferone, A +14 more
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Steiner symmetric vortices attached to seamounts
Communications on Pure and Applied Analysis, 2004 The authors prove the existence of maximizers for a variational problem governing a geophysical flow over a surface of variable height such as a seamount in the ocean or a maintain in the atmosphere.
Emamizadeh, B. +2 more
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Symmetrization Inequalities for Difference Equations on Graphs
, 1999 We prove symmetrization inequalities for positive solutions of (not necessarily linear) difference equations of the form−Δu=φu−c·u+λ,where Δ is a discrete Laplacian, φ is a convex decreasing function,cis a positive function and λ is a real function, on ...
Pruss, Alexander R.
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The perimeter inequality for Steiner symmetrization: cases of equality
, 2005 Steiner symmetrization is known not to increase perimeter of sets in Rn.
Chlebík, Miroslav +2 more
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