TY - JOUR
T1 - Threshold Results for Semilinear Parabolic Equations with Nonlinear Boundary Conditions
AU - Wang , Mingxin
JO - Journal of Partial Differential Equations
VL - 3
SP - 273
EP - 280
PY - 1995
DA - 1995/08
SN - 8
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5659.html
KW - Nonlinear boundary conditions
KW - threshold results
KW - upper and lower solutions
AB -  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.