Existence of many positive solutions of semilinear elliptic equations on an annulus

This paper is concerned with multiplicity of positive nonradial solutions of a nonlinear eigenvalue problem on an expanding annulus domain with a fixed width in R-N with N greater than or equal to 4. For 0 < lambda < pi(2), we show that the number of nonrotationally equivalent nonradial solutions tends to infinity as the inner radius of the domain tends to infinity