This is bringing together young and some venerable researchers in above areas in order to get acquainted, to communicate and to understand what directions are actual and perspective. The word "young" in the title means a general direction of the conference but doesn't mean any age limitations for participants. Main topics:

• general theory of boundary-value problems for partial differential equations (PDE)
• investigation of boundary-value problems for special classes of PDE
• nonlinear boundary-value problems
• operator methods in the theory of PDE
• mathematical physics
• ordinary differential equations and dynamical systems
• applications of PDE