22 citations · 22 across the 5 of their papers we have counts for
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math.AP2019
Some elliptic problems with singular nonlinearity and advection for Riemannian manifolds
João Marcos do Ó, Rodrigo Clemente
We are interested in regularity properties of semi-stable solutions for a class of singular semilinear elliptic problems with advection term defined on a smooth bounded domain of a…
math.AP2019
On Lane-Emden systems with singular nonlinearities and applications to MEMS
João Marcos do Ó, Rodrigo Clemente
In this paper we analyse the Lane-Emden system \begin{equation} \left\{ \begin{alignedat}{3} -Δu = & \, \frac{λf(x)}{(1-v)^2} & \quad \text{in} & \quadΩ\\ -Δv = & \, \frac{μg(x)}{(…
math.AP2019
Regularity of stable solutions to quasilinear elliptic equations on Riemannian models
João Marcos do Ó, Rodrigo Clemente
We investigate the regularity of semi-stable, radially symmetric, and decreasing solutions for a class of quasilinear reaction-diffusion equations in the inhomogeneous context of R…