Electronic Journal of Differential Equations, Vol. 2012 (2012), No. 134, pp. 1-5. Title: Bounds and compactness for solutions of second-order elliptic equations Author: Carlos C. Aranda (Blue Angel Navire Research lab., Canada) Abstract: In this article, we establish some connections between Sobolev spaces and nonlinear singular elliptic problems, to obtain bounds and compactness results for solutions of second-order elliptic equations. Submitted July 25, 2012. Published August 17, 2012. Math Subject Classifications: 35J25, 35J60, 35J75. Key Words: Elliptic equations; compact imbedding; Schauder approach.