Hardy Inequalities and Some Critical Elliptic and Parabolic Problems
- Garcı́a Azorero, J.P.
- Peral Alonso, I.
Publication date
April 1998
DOI Publisher
Academic Press. ISSN
0022-0396 Citation count (estimate)
318Abstract
AbstractWe study the behaviour of the nonlinear criticalp-heat equation(and the related stationaryp-laplacian equation)[formula]where −Δpu≡−div(|∇u|p−2∇u),f(x)⩾0 verifying convenient regularity assumptions,Ωis a bounded domain in RNsuch that 0∈Ω, and 1<p<N. The analysis reveals that the behaviour depends onp. The results depend in general on the relation betweenλand the best constant in Hardy's inequality
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