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• W2045117813 abstract "We study the effect of the potential | y | α on the stability of entire solutions for elliptic equations on ℝ N , N ≥ 2, with exponential or smoooth/singular polynomial nonlinearities. Instability properties are crucial in order to establish regularity of the extremal solution to some related Dirichlet nonlinear eigenvalue problem on bounded domains. As a by-product of our results, we will improve the known results about the regularity of such solutions." @default.
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• W2045117813 creator A5037696680 @default.
• W2045117813 date "2008-10-01" @default.
• W2045117813 modified "2023-10-05" @default.
• W2045117813 title "Linear instability of entire solutions for a class of non-autonomous elliptic equations" @default.
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• W2045117813 doi "https://doi.org/10.1017/s0308210507000212" @default.
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