Positive single rupture solutions to a semilinear elliptic equation
Existence of positive single rupture solutions to the equation \(\Delta u=f(u)\) in \(\Omega\setminus\{0\}\) with \(\lim_{| x| \to 0}u(x)=0\) is proved by means of the Pokhozhaev identity.
scientific article; zbMATH DE number 5001430