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

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.
978-3-030-73777-1
978-3-030-73778-8
First order term
Half-plane
p-Laplace operator
Qualitative properties
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11770/327890
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