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math.FA2023
Weak Compactness Criterion in with an Existence Theorem of Minimizers
Cheng Chen, Mattie Ji, Yan Tang +1
There is a rich theory of existence theorems for minimizers over reflexive Sobolev spaces (ex. Eberlein-Šmulian theorem). However, the existence theorems for many variational probl…
math.FA2021
Some nonlinear characterizations of reflexive Banach spaces
Yan Tang, Shiqing Zhang, Tiexin Guo
It is well known that in the calculus of variations and in optimization there exist many formulations of the fundamental propositions on the attainment of the infima of sequentiall…