106 citations · 116 across the 6 of their papers we have counts for
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Quasilinear elliptic equations with singular quadratic growth terms
Lucio Boccardo, Tommaso Leonori, Luigi Orsina +1
In this paper we deal with positive solutions for singular quasilinear problems whose model is $$ \begin{cases} -Δu + \frac{|\nabla u|^2}{(1-u)^γ}=g & \mbox{in ,}\newline \hfill…
Existence and nonexistence of solutions for singular quadratic quasilinear equations
David Arcoya, José Carmona, Tommaso Leonori +3
We study both existence and nonexistence of nonnegative solutions for nonlinear elliptic problems with singular lower order terms that have natural growth with respect to the gradi…
On maximal regularity estimates for quasilinear evolution equations via the integral Bernstein method
Alessandro Goffi, Tommaso Leonori
This work addresses the problem of (global) maximal regularity for quasilinear evolution equations with sublinear gradient growth and right-hand side in Lebesgue spaces, complement…
The best approximation of a given function in -norm by Lipschitz functions with gradient constraint
Stefano Buccheri, Tommaso Leonori, Julio D. Rossi
The starting point of this paper is the study of the asymptotic behavior, as , of the following minimization problem $$ \min\left\{\frac1{p}\int|\nabla v|^{p}+\frac12\i…
Regularity of solutions to a fractional elliptic problem with mixed Dirichlet-Neumann boundary data
J. Carmona, E. Colorado, T. Leonori +1
In this work we study regularity properties of solutions to fractional elliptic problems with mixed Dirichlet-Neumann boundary data when dealing with the Spectral Fractional Laplac…
Semilinear fractional elliptic problems with mixed Dirichlet-Neumann boundary conditions
J. Carmona, E. Colorado, T. Leonori +1
We study a nonlinear elliptic boundary value problem defined on a smooth bounded domain involving the fractional Laplace operator, a concave-convex powers term together with mixed…