Positive solutions of critical semilinear problems involving a sublinear term at the origin Joao PaduaElves SilvaSergio Soares 35J2035J65critical exponentsublinear problempositive solutions 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 $\mathbb{R}^N$, $N \geq 2$. Indiana University Mathematics Journal 2006 text pdf 10.1512/iumj.2006.55.2688 10.1512/iumj.2006.55.2688 en Indiana Univ. Math. J. 55 (2006) 1091 - 1112 state-of-the-art mathematics http://iumj.org/access/