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Open Access Research Article Issue
Qualitative properties of solutions to the Dirichlet problem for a Laplace equation involving the Hardy potential with possibly boundary singularity
Luigi Montoro, Berardino Sciunzi
Mathematics in Engineering 2023, 5(1): 1-16
Published: 15 February 2023
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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.

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