On nonlinear elliptic equations in infinite cylinders
Àngel Calsina, Joan Solà-Morales, Marta València · Czech digital mathematics library · 1994
This communication presents a summary of the results of the paper [1], Semilinear elliptic equations of second order in cylindrical domains are shown to define well posed initial value problems under some assumptions on the nonlinearity and for globally bounded solutions.Conditions to have a dynamical system and a compact global attractor are given as well as conditions for all the solutions approaching zero.