2 papers
math.DS2018
Unbounded Sturm attractors for quasilinear equations
Phillipo Lappicy, Juliana Fernandes Pimentel
We analyze the asymptotic dynamics of quasilinear parabolic equations when solutions may grow up (i.e., blow up in infinite time). For such models, there is a global attractor whic…
math.AP2017
A semilinear elliptic equation with competing powers and a radial potential
M. Musso, J. Pimentel
We verify the existence of radial positive solutions for the semi-linear equation $$ -\,Δu=u^{p}\,-\,V(y)\,u^{q},\,\quad\quad u>0,\quad\quad\mbox{ in }\mathbb{R}^N$$ where $N\geq 3…