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math.AP2020
Influence of variable coefficients on global existence of solutions of semilinear heat equations with nonlinear boundary conditions
Alexander Gladkov, Mohammed Guedda
We consider semilinear parabolic equations with nonlinear boundary conditions. We give conditions which guarantee global existence of solutions as well as blow-up in finite time of…
math.AP2020
Nonexistence of nonnegative entire solutions of semilinear elliptic systems
Alexander Gladkov, Sergey Sergeenko
We consider the second order semilinear elliptic system where and are positive cons…