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- W2149426998 abstract "Let [Formula: see text] be the Green function of (-Δ) m , m ≥ 1, on the complementary D of the unit closed ball in ℝ n , n ≥ 2, with Dirichlet boundary conditions [Formula: see text], 0 ≤ j ≤ m - 1. We establish some estimates on [Formula: see text] including the 3G-Inequality given by (1.3). Next, we introduce a polyharmonic Kato class of functions [Formula: see text] and we exploit the properties of this class to study the existence of positive solutions of some polyharmonic nonlinear elliptic problems." @default.
- W2149426998 created "2016-06-24" @default.
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- W2149426998 date "2008-04-01" @default.
- W2149426998 modified "2023-10-16" @default.
- W2149426998 title "ESTIMATES ON THE GREEN FUNCTION AND EXISTENCE OF POSITIVE SOLUTIONS FOR SOME NONLINEAR POLYHARMONIC PROBLEMS OUTSIDE THE UNIT BALL" @default.
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- W2149426998 doi "https://doi.org/10.1142/s0219530508001092" @default.
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