Continuous symmetrization via polarization

DOI10.1090/S1061-0022-2012-01234-3zbMath1291.30146arXiv1102.1004OpenAlexW2964072642MaRDI QIDQ2849050

Alexander Yu. Solynin

Publication date: 16 September 2013

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.1004

zbMATH Keywords

comparison theorempolarizationboundary-value problemrearrangementintegral inequalitySteiner symmetrizationcontinuous symmetrization

Mathematics Subject Classification ID

Extremal problems for conformal and quasiconformal mappings, other methods (30C75)

Related Items (9)

Symmetrization and integral inequalities ⋮ Strict monotonicity of the first \(q\)-eigenvalue of the fractional \(p\)-Laplace operator over annuli ⋮ Exercises on the theme of continuous symmetrization ⋮ Rearrangement and polarization ⋮ On mixed Dirichlet-Neumann eigenvalues of triangles ⋮ Unnamed Item ⋮ Infinitesimally small spheres and conformally invariant metrics ⋮ Unnamed Item ⋮ Conformal capacity of hedgehogs

Cites Work

• Comparison results for elliptic and parabolic equations via Schwarz symmetrization
• Rearrangements and convexity of level sets in PDE
• Symmetry and related properties via the maximum principle
• Comparison results for elliptic and parabolic equations via symmetrization: A new approach
• Continuous symmetrization of sets
• Radial averaging of domains, estimates for Dirichlet integrals and applications
• Spherical rearrangements, subharmonic functions, and \(\ast\)-functions in \(n\)-space
• Capacities and geometric transformations of subsets in \(n\)-space
• Continuous rearrangement and symmetry of solutions of elliptic problems
• Partial Steiner symmetrization and some conduction problems
• A symmetry problem in potential theory
• Monotonicity of Eigenvalues Under Symmetrization
• Sobolev inequalities, the Poisson semigroup, and analysis on the sphere Sn.
• Polarization, continuous Markov processes, and second order elliptic equations
• Continuous Steiner‐Symmetrization
• An approach to symmetrization via polarization
• Isoperimetric Inequalities in Mathematical Physics. (AM-27)
• Properties of Conformal Invariants
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

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