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math.AP2012
Increasing powers in a degenerate parabolic logistic equation
José Francisco Rodrigues, Hugo Tavares
The purpose of this paper is to study the asymptotic behavior of the positive solutions of the problem $$ \partial_t u-Δu=a u-b(x) u^p \text{in} Ω\times \R^+, u(0)=u_0, u(t)|_{\par…
math.AP2012
Quasivariational solutions for first order quasilinear equations with gradient constraint
José Francisco Rodrigues, Lisa Santos
We prove the existence of solutions for an evolution quasi-variational inequality with a first order quasilinear operator and a variable convex set, which is characterized by a con…