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- W1982227098 abstract "We consider the problem where a and f are 1-periodic in t, a is positive, f satisfies appropriate decreasing conditions; smoothness of a, f, ∂Ω is also assumed. Denote by λ0 the principal eigenvalue of Δ with zero Dirichlet boundary conditions, and define . We prove: (a) if ε ≤ 0, then no non-negative periodic solution exists but zero, and any solution with continuous non-negative initial datum converges to zero uniformly as t → ∞; (b) if ε > 0, then a unique non trivial non-negative 1-periodic solution u* exists, and any solution with continuous, non-negative not identically zero initial datum approaches uniformly u* as t → ∞." @default.
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- W1982227098 date "1981-01-01" @default.
- W1982227098 modified "2023-09-26" @default.
- W1982227098 title "Bifurcation results for a class of periodic quasi-linear parabolic equations" @default.
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- W1982227098 doi "https://doi.org/10.1002/mma.1670030103" @default.
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