We investigate solutions to the problem
where is the Dirac measure and are real parameters, . We discuss the existence and uniqueness of solutions in dependence of these parameters. For the homogeneous Dirichlet problem in a ball we give multiplicity results.
Cite this article
R. Spielmann, A Semilinear Elliptic Equation with Dirac Measure as Right-Hand Side. Z. Anal. Anwend. 16 (1997), no. 4, pp. 919–943DOI 10.4171/ZAA/797