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On positive stable solutions to weighted quasilinear problems with negative exponent

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Abstract Let and , we prove the nonexistence of positive stable solutions of weighted quasilinear problem The result holds true for , or and , which is a positive critical… Click to show full abstract

Abstract Let and , we prove the nonexistence of positive stable solutions of weighted quasilinear problem The result holds true for , or and , which is a positive critical exponent. Here and are nonnegative functions such that and for large |x|. We also construct an example to show the sharpness of our result.

Keywords: solutions weighted; problems negative; weighted quasilinear; positive stable; stable solutions; quasilinear problems

Journal Title: Complex Variables and Elliptic Equations
Year Published: 2018

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