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math.AP2019
The Nehari manifold for indefinite Kirchhoff problem with Caffarelli-Kohn-Nirenberg type critical growth
Pawan Kumar Mishra, Joao Marcos do Ó, David G. Costa
In this paper we study the following class of nonlocal {problems} involving Caffarelli-Kohn-Nirenberg type critical growth \begin{align*} L(u)&-λh(x)|x|^{-2(1+a)}u=μf(x)|u|^{q-2}u+…
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)}{(…