arXiv subjects

L. Muglia

Publications and source records attributed to L. Muglia.

2 recordsLinked to original sources

arXiv2022

Existence and regularity for a general class of quasilinear elliptic problems involving the Hardy potential

In a very general quasilinear setting, we show that the regularizing effect of a first order term causes the existence of energy solutions for problems involving the Hardy potential and $L^1$ data. In the same setting we study sharp (local and global) integral estimates for the second derivatives of the solutions.

math.AP↗

arXiv2019

Coupled elliptic systems depending on the gradient with nonlocal BCs in exterior domains

We study existence and multiplicity of positive radial solutions for a coupled elliptic system in exterior domains where the nonlinearities depend on the gradients and the boundary conditions are nonlocal. We use a non-standard cone to establish existence of solutions by means of fixed point index theory.

math.FA↗