We consider a quasilinear elliptic equation involving a first order term, under zero Dirichlet boundary condition in the half-plane. We prove that any positive possibly unbounded solution, is monotone increasing with respect to the direction orthogonal to the boundary.
Monotonicity of Positive Solutions to − Δp u + a(u)|∇u|q = f(u) in the Half-Plane in the Case p⩽ 2
Montoro L.
Membro del Collaboration Group
2021-01-01
Abstract
We consider a quasilinear elliptic equation involving a first order term, under zero Dirichlet boundary condition in the half-plane. We prove that any positive possibly unbounded solution, is monotone increasing with respect to the direction orthogonal to the boundary.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
