Abstract
In this paper, we prove the existence of infinitely many singular ground states for the semilinear elliptic equation Δu−u+up=0 for 1<p<(n+2)/(n−2), n⩾3. We also prove that the related Dirichlet problem on a ball has infinitely many singular solutions. The asymptotic behaviors are also discussed.
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on leave from Zhejiang University, Hangzhou, P. R. China.
Work partially supported by NSF grant DMA 9001483.
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Johnson, R.A., Pan, X. & Yi, Y. Singular solutions of the elliptic equation Δu−u+up=0. Annali di Matematica pura ed applicata 166, 203–225 (1994). https://doi.org/10.1007/BF01765635
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DOI: https://doi.org/10.1007/BF01765635