Steklov-type 1D inequalities (a survey)

Abstract

We give a survey of classical and recent results on sharp constants and symmetry/asymmetry of extremal functions in $1$-dimensional functional inequalities.

arXiv comment21 pages, 8 figures, 4 tables

References in corpus (3)

• Magnetic rings
• On sharp constants in one-dimensional embedding theorems of arbitrary order
• On the sharp constant in "magnetic" 1D embedding theorem

Cited by in corpus (1)

• Solutions with various structures for semilinear equations in ${\mathbb{R}}^n$ driven by fractional Laplacian