On Symmetric Functionals of the Gradient Having Symmetric Equidistributed Minimizers

DOI10.1137/050625011zbMath1126.46020OpenAlexW2059278584MaRDI QIDQ5470645

Andrea Cianchi, Adele Ferone

Publication date: 31 May 2006

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/050625011

zbMATH Keywords

Sobolev spacessymmetrizationconstrained minimum problems

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Existence theories for free problems in two or more independent variables (49J10) Optimality conditions for free problems in two or more independent variables (49K10) Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49K30) Qualitative properties of solutions to partial differential equations (35B99)

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Maximum principles and nonexistence results for radial solutions to equations involvingp-Laplacian ⋮ New Pólya-Szegö-type inequalities and an alternative approach to comparison results for PDE's ⋮ A weighted isoperimetric inequality in an orthant ⋮ Optimal Sobolev trace embeddings

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