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• W2066470147 abstract "We develop a new method for proving the existence of a boundary trace, in the class of Borel measures, of nonnegative solutions of −� u + g(x, u) ≥ 0i n a smooth domainunder very general assumptions on g. This new definition which extends the previous notions of boundary trace is based upon a sweeping technique by solutions of Dirichlet problems with measure boundary data. We also prove a boundary pointwise blow-up estimate of any solution of such inequalities in terms of the Poisson kernel. If the nonlinearity is very degenerate near the boundary, for example if g(x, u) ≈ exp(−ρ −1 ∂� (x))u q ,w ee xhibit a new full boundary blow-up phenomenon." @default.
• W2066470147 created "2016-06-24" @default.
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• W2066470147 date "2009-12-14" @default.
• W2066470147 modified "2023-09-23" @default.
• W2066470147 title "Boundary trace of positive solutions of nonlinear elliptic inequalities" @default.
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• W2066470147 doi "https://doi.org/10.2422/2036-2145.2004.3.02" @default.
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