Spherical symmetrization and eigenvalue estimates

DOI10.1007/BF01258906zbMath0464.49009MaRDI QIDQ1154112

Emanuel jun. Sperner

Publication date: 1981

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/183632

zbMATH Keywords

Rayleigh principlespherical symmetrizationvariational problem of Steklov type

Mathematics Subject Classification ID

Related Items (10)

Converse Symmetry and Intermediate Energy Values in Rearrangement Optimization Problems ⋮ Some optimization problems for \(p\)-Laplacian type equations ⋮ Optimization problems with fixed volume constraints and stability results related to rearrangement classes ⋮ On the best Sobolev trace constant and extremals in domains with holes ⋮ Optimal boundary holes for the Sobolev trace constant ⋮ An optimization problem with volume constraint with applications to optimal mass transport ⋮ A constrained shape optimization problem in Orlicz-Sobolev spaces ⋮ Optimization of the first Steklov eigenvalue in domains with holes: a shape derivate approach ⋮ Maximal total population of species in a diffusive logistic model ⋮ Windows of given area with minimal heat diffusion

Cites Work

• Symmetrisierung für Funktionen mehrerer reeller Variablen
• Quasi-conformal mappings in n-space and the rigidity of hyperbolic space forms
• Absolute continuity on tracks and mappings of Sobolev spaces
• Zerlegung konvexer Körper durch minimale Trennflächen.
• Symmetrization of Rings in Space
• Isoperimetric Inequalities in Mathematical Physics. (AM-27)
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