Mathematics – Analysis of PDEs
Scientific paper
2009-01-27
Mathematics
Analysis of PDEs
Scientific paper
We calculate the full asymptotic expansion of boundary blow-up so- lutions,
for any nonlinearity f . Our approach enables us to state sharp qualitative
results regarding uniqueness and ra- dial symmetry of solutions, as well as a
characterization of nonlinearities for which the blow-up rate is universal. At
last, we study in more detail the standard nonlinearities f (u) = u^p, p > 1
Costin Ovidiu
Dupaigne Louis
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