A Sequel to ‘Nonlinear Problems and Hölder's Inequality’

Abstract

Since the basis of Hölder's inequality was found by mathematicians, i.e., independently by Rogers in 1888 and Hölder in 1889, the inequality has been frequently utilized as a basic inequality in mathematical analysis such as functional analysis. However, surprisingly, no physical interpretation of the inequality seems to be known until 2014. In this article, as a sequel to “Nonlinear Problems and Hölder's Inequality” (Jan. 2016), I show that the inequality leads to an elegant solution to recent nonlinear problems and also inspires them.