Computation of radial solutions of semilinear equations

P. Korman, University of Cincinnati, Ohio, U.S.A.

E. J. Qualitative Theory of Diff. Equ., No. 13. (2007), pp. 1-14.

Abstract: We express radial solutions of semilinear elliptic equations on $R^n$ as convergent power series in $r$, and then use Pade approximants to compute both ground state solutions, and solutions to Dirichlet problem. Using a similar approach we have discovered existence of singular solutions for a class of subcritical problems. We prove convergence of the power series by modifying the classical method of majorants.

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