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math.AP2024★ 1 cited
Elliptic problems with superlinear convection terms
L. Boccardo, S. Buccheri, G. R. Cirmi
In this manuscript we deal with elliptic equations with superlinear first order terms in divergence form of the following type \[ -\mbox{div}(M(x)\nabla u)= -\mbox{div}(h(u)E(x))+f…
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…