Boundary blow-up solutions in the unit ball : asymptotics, uniqueness and symmetry (v3)
classification
🧮 math.AP
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blow-upsolutionsboundarynonlinearitiessymmetryuniquenessapproachasymptotic
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We calculate the full asymptotic expansion of boundary blow-up solutions, 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. Lastly, we study in more detail the standard nonlinearities f(u) = u^p, p > 1.
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