We consider positive solutions to -Δpu=1uγ+f(u) under zero Dirichlet condition in the half space. Exploiting apriori estimates and the moving plane technique, we prove that any solution is monotone increasing in the direction orthogonal to the boundary.
Monotonicity results in half spaces for quasilinear elliptic equations involving a singular term
Montoro L.;Muglia L.;Sciunzi B.
2025-01-01
Abstract
We consider positive solutions to -Δpu=1uγ+f(u) under zero Dirichlet condition in the half space. Exploiting apriori estimates and the moving plane technique, we prove that any solution is monotone increasing in the direction orthogonal to the boundary.File in questo prodotto:
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