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math.AP2023
On Dancer's conjecture for stable solutions with sign-changing nonlinearity
Yong Liu, Kelei Wang, Juncheng Wei +1
We establish a Liouville type result for stable solutions for a wide class of second order semilinear elliptic equations in with sign-changing nonlinearity . Un…
math.AP2023
Bouncing Jacobi fields and the Allen-Cahn equation on surfaces
Yong Liu, Frank Pacard, Juncheng Wei
The Allen-Cahn functional is a well studied variational problem which appears in the modeling of phase transition phenomenon. This functional depends on a parameter $\varepsilon >0…