Yarur, Cecilia S.

Existence of continuous and singular ground states for semilinear elliptic systems

Electron. J. Differ. Equ. 1998, Paper 1, 27 p. (1998)

Summary

Summary: We study existence results of a curve of continuous and singular ground states for the system $$ \eqalign{ -\Delta{u} \&= {\alpha(|x|)}f(v) \cr -\Delta{v} \&= \beta(|x|) g(u)\,. \cr }$$ where $$ \eqalign{ \Delta u(x)+V(|x|)u+a(|x|)v^p \&= 0 \cr \Delta v(x)+V(|x|)v+b(|x|)u^q \&= 0\,.\cr} $$

Mathematics Subject Classification

35J60, 31A35

Keywords/Phrases

semilinear elliptic systems, ground states

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