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On nonlinear elliptic equations in infinite cylinders. (English) Zbl 0808.35028
Summary: 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.
MSC:
35J60 Nonlinear elliptic equations
35B40 Asymptotic behavior of solutions to PDEs
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