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- W2122534722 abstract "We study the existence of positive continuous solutions of the nonlinear polyharmonic system ((-Delta)^m u + lambda q g(v) = 0); ((-Delta)^m v + mu p f(u) = 0) in the half space (mathbb{R}^n_+:={x = (x_1,...,x_n) in mathbb{R}^n : x_n gt 0}), where (m geq 1) and (n gt 2m). The nonlinear term is required to satisfy some conditions related to the Kato class (K^{infty}_{m,n}(mathbb{R}^n_+)). Our arguments are based on potential theory tools associated to ((-Delta)^m) and properties of functions belonging to (K^{infty}_{m,n}(mathbb{R}^n_+))." @default.
- W2122534722 created "2016-06-24" @default.
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- W2122534722 date "2012-01-01" @default.
- W2122534722 modified "2023-10-04" @default.
- W2122534722 title "On the existence of positive continuous solutions for some polyharmonic elliptic systems on the half" @default.
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- W2122534722 doi "https://doi.org/10.7494/opmath.2012.32.1.91" @default.
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