From the 1 of 9 linked papers with an AI index.
9 papers
On the second-order regularity of widely degenerate elliptic systems
Felice Iandoli, Berardino Sciunzi, Domenico Vuono
The paper establishes local second‑order regularity for solutions of highly degenerate elliptic systems near their critical set and shows that the degenerate region has zero Lebesg…
Classification of singular solutions to the subcritical Lane-Emden equation in
Francesco Esposito, Luigi Muglia, Berardino Sciunzi +1
We provide a classification result of positive solutions with a non-removable singularity at the origin to the subcritical Lane-Emden equation in $\mathbb{R}^N \set…
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 , assumin…
Local behaviour of the second order derivatives of solutions to -Laplace equations
Felice Iandoli, Domenico Vuono
We consider the equation in where is the -Laplace operator. We provide -type estimates for the second derivatives of solutions whe…
Monotonicity and Liouville-type theorems for semilinear elliptic problems in the half space
Berardino Sciunzi, Domenico Vuono
We consider classical solutions to in half-spaces, under homogeneous Dirichlet boundary conditions. We prove that any positive solution is strictly monotone increasin…
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…