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Une méthode de comparaison isopérimétrique de fonctionnelles de domaines de la physique mathématique II. Seconde partie: cas inhomogène: une inégalité isopérimétrique entre la fréquence fondamentale d'une membrane et l'énergie d'équilibre d'un problème de Poisson

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Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/bf01203612openalex-snapshot
�ber ein Minimalproblem der mathematischen Physik
inferredcites →https://doi.org/10.1007/bf01208645openalex-snapshot
�ber eine von Rayleigh formulierte Minimaleigenschaft des Kreises
inferredcites →https://doi.org/10.1007/bf01246436openalex-snapshot
�ber einige Extremalaufgaben der Potentialtheorie
inferredcites →https://doi.org/10.1007/bf01589287openalex-snapshot
Une méthode de comparaison isopérimétrique de fonctionnelles de domaines de la physique mathématique I. Première partie: une démonstration de la conjecture isopérimétrique Pλ2 ≥ πj 0 4 /2 de Pólya et Szegö
inferredcites →https://doi.org/10.1007/bf01589288openalex-snapshot
Une méthode de comparaison isopérimétrique de fonctionnelles de domaines de la physique mathématique II. Seconde partie: cas inhomogène: une inégalité isopérimétrique entre la fréquence fondamentale d'une membrane et l'énergie d'équilibre d'un problème de Poisson
inferredcites →https://doi.org/10.1007/bf01593198openalex-snapshot
An isoperimetric inequality for the first eigenfunction in the fixed membrane problem
inferredcites →https://doi.org/10.1007/bf02564535openalex-snapshot
Transplantation harmonique, transplantation par modules, et théorèmes isopérimétriques
inferredcites →https://doi.org/10.1007/bf02566838openalex-snapshot
Konstruktion isoperimetrischer Ungleichungen der mathematischen Physik aus solchen der Geometrie
inferredcites →https://doi.org/10.1007/bfb0059360openalex-snapshot
Spectral Analysis of Nonlinear Operators
inferredcites →https://doi.org/10.1007/bfb0059365openalex-snapshot
Morse-Sard theorem
inferredcites →https://doi.org/10.1515/9781400882663openalex-snapshot
Isoperimetric Inequalities in Mathematical Physics. (AM-27)
inferredcites →https://doi.org/10.1515/9783112723395openalex-snapshot
Die innere Geometrie der konvexen Flächen
inferredcites →https://doi.org/10.2140/pjm.1958.8.285openalex-snapshot
On the principal frequency of a membrane

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1002/cpa.70021openalex-snapshot
Sharp quantitative stability of the Dirichlet spectrum near the ball
inferred← citeshttps://doi.org/10.1007/bf00946975openalex-snapshot
Isoperimetric monotonicity and isoperimetric inequalities of Payne-Rayner type for the first eigenfunction of the Helmholtz problem
inferred← citeshttps://doi.org/10.1007/bf01589287openalex-snapshot
Une méthode de comparaison isopérimétrique de fonctionnelles de domaines de la physique mathématique I. Première partie: une démonstration de la conjecture isopérimétrique Pλ2 ≥ πj 0 4 /2 de Pólya et Szegö
inferred← citeshttps://doi.org/10.1007/s00032-026-00438-2openalex-snapshot
Relations Between Principal Eigenvalue and Torsional Rigidity with Robin Boundary Conditions
inferred← citeshttps://doi.org/10.1007/s00245-020-09727-7openalex-snapshot
Some Inequalities Involving Perimeter and Torsional Rigidity
inferred← citeshttps://doi.org/10.1007/s00526-011-0441-8openalex-snapshot
On the characterization of the compact embedding of Sobolev spaces
inferred← citeshttps://doi.org/10.1007/s00526-021-02129-9openalex-snapshot
Inequalities between torsional rigidity and principal eigenvalue of the p-Laplacian
inferred← citeshttps://doi.org/10.1007/s11006-006-0176-6openalex-snapshot
Estimation of the L p -norms of stress functions for finitely connected plane domains
inferred← citeshttps://doi.org/10.1007/s11118-017-9640-zopenalex-snapshot
Torsional Rigidity for Regions with a Brownian Boundary
inferred← citeshttps://doi.org/10.1007/s13163-011-0066-7openalex-snapshot
Spectral optimization problems
inferred← citeshttps://doi.org/10.1016/j.na.2026.114284openalex-snapshot
Kohler-Jobin inequality for p-Laplace operator in the Gauss space
inferred← citeshttps://doi.org/10.1137/0513011openalex-snapshot
Symmetrization with Equal Dirichlet Integrals
inferred← citeshttps://doi.org/10.1142/s0219199720500935openalex-snapshot
On relations between principal eigenvalue and torsional rigidity
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