Boundary blow-up solutions in the unit ball : asymptotics, uniqueness and symmetry
classification
🧮 math.AP
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blow-upboundarynonlinearitiessolutionssymmetryuniquenessapproachasymptotic
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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
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