Explicit approximation of the symmetric rearrangement by polarizations

DOI10.1007/s00013-009-0018-3zbMath1177.26052arXiv0902.0637OpenAlexW2148164413MaRDI QIDQ842356

Jean Van Schaftingen

Publication date: 25 September 2009

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0902.0637

zbMATH Keywords

polarizationPólya-Szegő inequalitySchwarz symmetrizationSteiner symmetrizationapproximation of symmetrizationfoliated Schwarz symmetrizationspherical cap rearrangement

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Other special methods applied to PDEs (35A25)

Related Items (15)

On the Bernoulli free boundary problems for the half Laplacian and for the spectral half Laplacian ⋮ Groundstates of nonlinear Choquard equations: existence, qualitative properties and decay asymptotics ⋮ Convergence of symmetrization processes ⋮ Some remarks on rearrangement for nonlocal functionals ⋮ Fractional Orlicz-Sobolev embeddings ⋮ Random polarizations ⋮ Standing waves with prescribed \(L^2\)-norm to nonlinear Schrödinger equations with combined inhomogeneous nonlinearities ⋮ Properties of ground states of nonlinear Schrödinger equations under a weak constant magnetic field ⋮ RADIAL SYMMETRY OF MINIMAX CRITICAL POINTS FOR NONSMOOTH FUNCTIONALS ⋮ Rearrangement and polarization ⋮ Symmetry of separable functions and its applications to Choquard type equations ⋮ A weak-strong convergence property and symmetry of minimizers of constrained variational problems in \(\mathbb R^N\) ⋮ The cone Moser–Trudinger inequalities and applications ⋮ A Pólya–Szegö principle for general fractional Orlicz–Sobolev spaces ⋮ Ground states of semilinear elliptic problems with applications to the Allen-Cahn equation on the sphere

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• Properties of Conformal Invariants

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