Viorel Barbu: Foreword.- 1.Overview of merhods in PDEs.- 2.Liouville Type Theorems for Elliptic Operators in Divergence Form.- 3.Blow-up Boundary Solutions.- 4.Singular Lane-Emden-Fowler Equations and Systems.- 5.Singular Elliptic Inequalities in Exterior Domains.- 6.Two Quasilinear Elliptic Problems.- 7.Some Classes of Polyharmonic Problems.- 8.Large Time Behavior of Solutions for Degenerate Parabolic Equations.- 9.Rection-Diffusion Systems...