We consider positive solutions to semilinear elliptic problems with Hardy potential and a first order term in bounded smooth domain Ω with 0 ∈ Ω We deduce symmetry and monotonicity properties of the solutions via the moving plane procedure under suitable assumptions on the nonlinearity.

Qualitative properties of solutions to the Dirichlet problem for a Laplace equation involving the Hardy potential with possibly boundary singularityy

Montoro L.
;
Sciunzi B.
2022-01-01

Abstract

We consider positive solutions to semilinear elliptic problems with Hardy potential and a first order term in bounded smooth domain Ω with 0 ∈ Ω We deduce symmetry and monotonicity properties of the solutions via the moving plane procedure under suitable assumptions on the nonlinearity.
2022
Hardy potential
qualitative properties
semilinear elliptic equations
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11770/377800
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