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Copyright q 2010 C. O. Alves and V. R˘ adulescu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. In the last years a lot of papers involving degenerate and singular partial differential equations have been published in important journals of the world. This class of differential equations has received all this attention, because it arises in the study of linear or nonlinear processes, including, for example, singular solutions of stationary or evolutionary equations, concentration of singularities in nonlinear PDEs, and Lane-Emden-Fowler-type equations with convection and singular potential. We would like to thank the authors for their excellent contributions and patience in assisting us. Finally, the fundamental work of all reviewers on these papers is also very warmly acknowledged. This special issue contains eight papers, of which five papers are related to ordinary differential equations, two papers involve parabolic equations, and one paper is concerned with properties involving a hight-order differential operator. In some of the papers, the reader can find problems involving the Sturm-Liouville differential equation, as well as some articles involving singular nonlinearities. In the first paper, " On the time periodic free boundary associated to some nonlinear parabolic equations, " M. Badii and J. I. Daz prove some qualitative properties of the time periodic free boundary generated by the solution of a general class of second-order quasilinear equations, which, include for example, the p-Laplacian operator. In the second paper entitled, " Multiple positive solutions of the singular boundary value problem for second order impulsive differential equations on the half-line, " study the existence of multiple solutions for a second order impulsive singular differential equations on the half-line by using fixed-point theorem in cones.

Degenerate and Singular Differential Operators with Applications to Boundary Value Problems