Limits at Infinity of Superharmonic Functions and Solutions of Semilinear Elliptic Equations of Matukuma Type |
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Authors: | Kentaro Hirata |
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Affiliation: | (1) Faculty of Education and Human Studies, Akita University, Akita 010-8502, Japan |
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Abstract: | In an unbounded domain Ω in ℝ n (n ≥ 2) with a compact boundary or Ω = ℝ n , we investigate the existence of limits at infinity of positive superharmonic functions u on Ω satisfying a nonlinear inequality like as where Δ is the Laplacian and c > 0 and p > 0 are constants. The result is applicable to positive solutions of semilinear elliptic equations of Matukuma type. This work was partially supported by Grant-in-Aid for Young Scientists (B) (No. 19740062), Japan Society for the Promotion of Science. |
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Keywords: | Superharmonic function Limit at infinity Semilinear elliptic equation |
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