Existence of positive solutions to negative power nonlinear integral equations with weights
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DOI: 10.1186/s13661-020-01380-x
Abstract: This paper is devoted to the existence and non-existence of positive solutions to the following negative power nonlinear integral equation related to the sharp reversed Hardy–Littlewood–Sobolev inequality: f q − 1 ( x ) =… read more here.
Keywords: negative power; positive solutions; existence positive; nonlinear integral ... See more keywords
The construction of solutions to Zakharov–Kuznetsov equation with fractional power nonlinear terms
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DOI: 10.1186/s13662-019-2063-y
Abstract: In the paper, we study a plasma fluid physical model, namely the Zakharov–Kuznetsov (ZK, for simplicity) equation with fractional power nonlinear terms by the complete discrimination system for polynomial method, and give a detailed construction… read more here.
Keywords: power nonlinear; nonlinear terms; equation fractional; equation ... See more keywords