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math.AP2026
Łojasiewicz--Simon inequalities near bubbling configurations for the Yamabe functional on bounded domains
Tianling Jin, Jingang Xiong, Ning Zhou
We establish Łojasiewicz--Simon type gradient inequalities for the Yamabe functional on bounded smooth domains near configurations consisting of finitely many concentrating bubbles…
math.AP2026
Compactness of Solutions to Sub-Elliptic Equations with Potential on the Heisenberg Group
Jiechen Qiang, Zhongwei Tang, Yichen Zhang +1
In this paper, we investigate the compactness of nonnegative solutions to a critical sub-elliptic equation with a nonnegative potential on the Heisenberg group. We establish compac…