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Liouville type theorems for Hardy–Hénon equations with concave nonlinearities
16
Citations
16
References
2020
Year
Elliptic EquationEngineeringUnique Nonnegative SolutionLiouville TheoremsFunctional AnalysisNonlinear Functional AnalysisHardy–hénon EquationsLiouville Type TheoremsVariational InequalitiesElliptic Function
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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