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math.AP2022
A non-smooth Brezis-Oswald uniqueness result
Sunra Mosconi
We classify the non-negative critical points in of \[ J(v)=\int_ΩH(Dv)-F(x, v)\, dx \] where is convex and positively -homogeneous, while $t\mapsto \partial_t…
math.AP2022
Uniqueness of the critical point for solutions to some -Laplace equations in the plane
William Borrelli, Sunra Mosconi, Marco Squassina
We prove that quasi-concave positive solutions to a class of quasi-linear elliptic equations driven by the -Laplacian in convex bounded domains of the plane have only one critic…