Hardy Inequalities and Some Critical Elliptic and Parabolic Problems

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Abstract

We study the behaviour of the nonlinear criticalp-heat equation(and the related stationaryp-laplacian equation)[formula]where -Δpu≡-div(∇up-2∇u),f(x)≥0 verifying convenient regularity assumptions,Ωis a bounded domain in RNsuch that 0∈Ω, and 1

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García Azorero, J. P., & Peral Alonso, I. (1998). Hardy Inequalities and Some Critical Elliptic and Parabolic Problems. Journal of Differential Equations, 144(2), 441–476. https://doi.org/10.1006/jdeq.1997.3375

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