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math.AP2023
The best approximation of a given function in -norm by Lipschitz functions with gradient constraint
Stefano Buccheri, Tommaso Leonori, Julio D. Rossi
The starting point of this paper is the study of the asymptotic behavior, as , of the following minimization problem $$ \min\left\{\frac1{p}\int|\nabla v|^{p}+\frac12\i…
math.AP2023
A bridge between convexity and quasiconvexity
Pablo Blanc, Mikko Parviainen, Julio Rossi
We introduce a notion of convexity with respect to a one-dimensional operator and with this notion find a one-parameter family of different convexities that interpolates between cl…