On the Euler-Lagrange equation of a functional by Pólya and Szegö

DOI10.1007/s00526-016-0991-xzbMath1346.49069OpenAlexW2391284495WikidataQ110235222 ScholiaQ110235222MaRDI QIDQ2628979

Yanyan Li

Publication date: 19 July 2016

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-016-0991-x

zbMATH Keywords

capacityshape optimizationperimeterPólya-Szegö conjecture

Mathematics Subject Classification ID

Optimization of shapes other than minimal surfaces (49Q10) Convex sets in (3) dimensions (including convex surfaces) (52A15) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

Related Items (2)

Infinitely many sign-changing solutions for a semilinear elliptic equation with variable exponent ⋮ Global large solutions to the two-dimensional compressible Navier-Stokes equations

Cites Work

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• Boundary behavior of harmonic functions in non-tangentially accessible domains
• Estimates of harmonic measure
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• The L\(^p\)-integrability of the partial derivatives of a quasiconformal mapping
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• On a long-standing conjecture by Pólya-Szegö and related topics
• Optimal convex shapes for concave functionals
• On the Poisson integral for Lipschitz and $C^{1}$-domains
• Convex Bodies The Brunn-MinkowskiTheory
• Inequalities for the Green Function and Boundary Continuity of the Gradient of Solutions of Elliptic Differential Equations.
• n -Dimensional Extensions of Theorems on Conjugate Functions
• Isoperimetric Inequalities in Mathematical Physics. (AM-27)
• Inequalities for the Capacity of a Condenser

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