Cheng Chen

activity

20242026

collaborators

3 papers

math.NT2026

The local Gross-Prasad conjecture over $R$ : Epsilon dichotomy

Cheng Chen, Zhilin Luo

Following the work of Jean-Loup Waldspurger, we prove the epsilon dichotomy part of the local Gross-Prasad conjecture over $R$ for tempered local $L$ -parameters.

math.NT2025

The Local Gross-Prasad Conjecture over Archimedean Local Fields

Cheng Chen

Following the approach of C. Moeglin and J.L.-Waldspurger, this article completes the proof for the generic cases of the local Gross-Prasad conjecture over Archimedean local fields…

math.FA2024

Weak Compactness Criterion in $W^{k, 1}$ 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-Å mulian theorem). However, the existence theorems for many variational prob…

The local Gross-Prasad conjecture over R: Epsilon dichotomy

The Local Gross-Prasad Conjecture over Archimedean Local Fields

Weak Compactness Criterion in Wk,1 with an Existence Theorem of Minimizers

The local Gross-Prasad conjecture over $R$ : Epsilon dichotomy

Weak Compactness Criterion in $W^{k, 1}$ with an Existence Theorem of Minimizers