An Optimal Partial Regularity Result for Minimizers of an Intrinsically Defined Second-Order Functional

In the next section, we implement an infinite iteration of normal form reductions and prove the improved energy estimate (Proposition 3.4).. Proof of Proposition 3.4: Normal

Bound-bound transitions (line transitions) between the lower energy level i and the upper energy level j may occur as radiative excitation, spon- taneous radiative

Here as an exploration and a test case, we prove the existence of smooth nonnegative (1, 1) forms for any boundary class of the K¨ ahler cone when the manifold satisfies

First introduced by Faddeev and Kashaev [7, 9], the quantum dilogarithm G b (x) and its variants S b (x) and g b (x) play a crucial role in the study of positive representations

In this paper, we will generalize the definition in [19] to weak Caputo derivatives for functions valued in general Banach spaces so that we can propose compactness criteria and

The common point to Kostant’s and Steinberg’s formulae is the function count- ing the number of decompositions of a root lattice element as a linear combination with

In this section we prove that the disk D is a critical shape in the class of constant width sets (see Propositions 3.2 and 3.5) and we determine the sign of the second order

Relaxed formulation for the Steklov eigenvalues: existence of optimal shapes In this section we extend the notion of the Steklov eigenvalues to arbitrary sets of finite perime- ter,