Liouville type theorems for Hardy–Hénon equations with concave nonlinearities
Wei Dai, Guolin Qin
Abstract
Abstract In this paper, we are concerned with the Hardy–Hénon equations with and . Inspired by Serrin and Zou [25], we prove Liouville theorems for nonnegative solutions to the above Hardy–Hénon equations (Theorem 1.1 and Theorem 1.3), that is, the unique nonnegative solution is .
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MathematicsType (biology)Hardy spacePure mathematicsMathematical analysisEcologyBiologyNonlinear Partial Differential EquationsAdvanced Mathematical Physics ProblemsGeometric Analysis and Curvature Flows