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- W2950244998 abstract "We prove a weak comparison principle in narrow unbounded domains for solutions to $-Delta_p u=f(u)$ in the case $2 2$ and $f(cdot)$ is super-linear. We exploit it to prove the monotonicity of positive solutions to $-Delta_p u=f(u)$ in half spaces (with zero Dirichlet assumption) and therefore to prove some Liouville-type theorems." @default.
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- W2950244998 date "2012-10-05" @default.
- W2950244998 modified "2023-09-27" @default.
- W2950244998 title "Monotonicity of solutions of quasilinear degenerate elliptic equation in half-spaces" @default.
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