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math.AP2026
Threshold phenomena for least energy solutions of a doubly critical Neumann problem with a critical absorption term
Yinbin Deng, Yulin Shi, Pengyan Wang
We investigate the existence and nonexistence of least energy solutions for a doubly critical Neumann problem with a critical absorption term. We consider a positive function d…
math.AP2026
On sliding methods for mixed local and nonlocal equations and Gibbons' conjecture
Yinbin Deng, Pengyan Wang, Zhihao Wang +1
We investigate elliptic and parabolic equations involving mixed local and nonlocal operators of the form , as well as their parabolic counterparts with both the Marchaud…