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Threshold Results for Semilinear Parabolic Equations with Nonlinear Boundary Conditions |
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| Authors: | Mingxin Wang |
| Abstract: | This paper deals with the following semilinear parabolic equations with nonlinear boundary conditions u_t - Δu = f(u) - λu,x ∈ Ω, t > 0 \frac{?u}{?n} = g(u), \qquad x ∈ ?Ω, t > 0 It is proved that every positive equilibrium solution is a threshold. |
| Keywords: | Nonlinear boundary conditions threshold results upper and lower solutions |
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