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Physical Sciences and Mathematics Commons™
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- Anderson’s theorem (1)
- Barthe’s inequality (1)
- Brascamp-Lieb inequality (1)
- Brunn-Minkowski inequality (1)
- Concave measure (1)
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- Convex body (1)
- Covariogram (1)
- Eigenfunction expansions (1)
- Eigenparameter (1)
- Entropy power inequality (1)
- Form domains (1)
- Isoperimetric inequality (1)
- Minkowski’s first inequality (1)
- Mixed volume (1)
- Prekopa-Leindler inequality (1)
- Self-adjoint boundary conditions (1)
- Sobolev inequality (1)
- Young’s inequality (1)
Articles 1 - 2 of 2
Full-Text Articles in Physical Sciences and Mathematics
The Brunn-Minkowski Inequality, Richard J. Gardner
The Brunn-Minkowski Inequality, Richard J. Gardner
Mathematics Faculty Publications
In 1978, Osserman [124] wrote an extensive survey on the isoperimetric inequality. The Brunn-Minkowski inequality can be proved in a page, yet quickly yields the classical isoperimetric inequality for important classes of subsets of Rn, and deserves to be better known. This guide explains the relationship between the Brunn-Minkowski inequality and other inequalities in geometry and analysis, and some applications.
Form Domains And Eigenfunction Expansions For Differential Equations With Eigenparameter Dependent Boundary Conditions, Branko Ćurgus, Paul Binding
Form Domains And Eigenfunction Expansions For Differential Equations With Eigenparameter Dependent Boundary Conditions, Branko Ćurgus, Paul Binding
Mathematics Faculty Publications
Form domains are characterized for regular 2n-th order differential equations subject to general self-adjoint boundary conditions depending affinely on the eigenparameter. Corresponding modes of convergence for eigenfunction expansions are studied, including uniform convergence of the first n - 1 derivatives.