Complementary isoperimetric inequalities for capacity, polarization, and virtual mass

DOI10.1080/00036818808839761zbMath0638.35026OpenAlexW2029866834WikidataQ58270219 ScholiaQ58270219MaRDI QIDQ3779090

G. A. Philippin

Publication date: 1988

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036818808839761

zbMATH Keywords

capacitypolarizationisoperimetric inequalitieslower and upper boundsvirtual masssymmetric regionselectrostatic problemsBrunn-Minkowski type concavity propertiesstarshaped regions

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Stability in context of PDEs (35B35) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Cites Work

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• Capacitary inequalities of the Brunn-Minkowski type
• Isoperimetric inequalities for polarization and virtual mass
• Capacity, virtual mass and generalized symmetrization
• New isoperimetric inequalities for eigenvalues and other physical quantities
• Some isoperimetric inequalities for capacity, polarization, and virtual mass
• Isoperimetric Inequalities and Their Applications
• Generalized axially symmetric potential theory

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