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math.AP2026
Domain dependence of Sobolev-curl constants and structure of critical curl-curl solutions
Yong Liu, Jun Wang, Xuan Wang +1
This paper investigates intrinsic critical Sobolev-curl constants on bounded domains and the structure of finite-energy solutions to the critical curl-curl equation in R^3. First,…
math.AP2026
Sharp Lifespan Dichotomies and Threshold Phenomena for Semilinear Heat Equations Driven by the Logarithmic Laplacian
Huyuan Chen, Rui Chen, Daniel Hauer +1
We investigate nonnegative mild solutions of in , with initial datum , . Unlike the classical and frac…
math.AP2026
Existence and nonexistence of solutions for fractional elliptic equations arising from closed MEMS model
Huyuan Chen, Jialei Jiang, Jun Wang
The objective of our paper is to investigate fractional elliptic equations of the form within a bounded domain , subject to zero Dirichlet boundary…