Title: Positive solutions of critical semilinear problems involving a sublinear term at the origin

Authors: Joao C.N. Padua, Elves A. B. Silva and Sergio H.M. Soares

Issue: Volume 55 (2006), Issue 3, 1091-1112

Abstract: By using variational methods we prove that a class of critical semilinear problems with a sublinear term at the origin possesses at least two positive solutions under conditions which allow the primitive of the sublinear term to assume negative values and do not require a convexity assumption. These problems are treated on bounded domains in $\mathbb{R}^N$, $N \geq 2$.