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math.AP2026
Sharp spectral estimates for free boundary problems arising in plasma physics
Daniele Bartolucci, Aleks Jevnikar, Juncheng Wei +1
We derive a sharp spectral estimate for a superlinear free boundary problem arising in plasma physics. The semilinear equation is coupled with a constraint, which forces the analys…
math.AP2024
Existence of Solutions to a super-Liouville equation with Boundary Conditions
Mingyang Han, Ruijun Wu, Chunqin Zhou
In this paper, we study the existence of solutions to a type of super-Liouville equation on the compact Riemannian surface with boundary and with its Euler characteristic $Ï(M…