4 papers
Asymptotics of nonlocal nonlinear Robin energies
Serena Dipierro, Giuseppe Spadaro, Enrico Valdinoci
We study the free minimization problem for a nonlinear, nonlocal functional associated with Robin-type nonlocal exterior conditions depending on a positive parameter . We prove…
Monotonicity of non-negative solutions of quasilinear elliptic equations in a cylindrical domain
Luigi Montoro, Luigi Muglia, Berardino Sciunzi +1
We consider weak solutions to -Laplace equations in cylindrical domains under mixed homogeneous Dirichlet-Neumann boundary conditions. We assume that the right-hand side is posi…
Local bounds for nonlinear higher-order vector fields for the p-Laplace equation
Felice Iandoli, Giuseppe Spadaro, Domenico Vuono
We study higher regularity for weak solutions of the -Laplace equation in a domain for sufficiently close to 2. For , assuming…
Second-order boundary estimates for solutions to a class of quasilinear elliptic equations
Giuseppe Spadaro, Domenico Vuono
We prove global second-order regularity for a class of quasilinear elliptic equations, both with homogeneous Dirichlet and Neumann boundary conditions. A condition on the integrabi…