Abstract
The existence of at least one periodic solution of a very general second order nonlinear parabolic boundary value problem is proved under the assumption that a lower solution ϕ and an upper solution ψ with ϕ≦ψ are known.
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Deuel, J., Hess, P. Nonlinear parabolic boundary value problems with upper and lower solutions. Israel J. Math. 29, 92–104 (1978). https://doi.org/10.1007/BF02760403
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DOI: https://doi.org/10.1007/BF02760403