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On positive stable solutions to weighted quasilinear problems with negative exponent


Phuong Le, Huy Thao Nguyen & Thi Yen Nguyen

Source title: 
Complex Variables and Elliptic Equations, 2017 (ISI)
Academic year of acceptance: 
Abstract: 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.