For many years, nonlinear elliptic and parabolic differential equations play important roles in applied mathematics since they can describe many phenomena arising in mathematical physics, engineering fields, electricity, fluid dynamics, and many other fields, such as the filtration theory, phase inversion theory, biochemistry, the dynamics of biology, and non-Newtonian theory.

One of such equations may describe one real-world system, and one system may interact with another. Real-world problems are often complicated and include two or more of such nonlinear equations. Hence, it is important to develop novel theories and methods to investigate nonlinear elliptic or parabolic systems. This special issue is intended to gather significant and up-to-date contributions to the theory and methods for the existence of the solution, the regularity of the solution, the number of solutions, the construction of solutions, numerical schemes, and the well-posed and qualitative property of solutions for nonlinear elliptic or parabolic systems. Potential topics include, but not limited to:

• Existence of solutions of nonlinear elliptic or parabolic systems with nonlinear boundary values
• Regularity of solutions of nonlinear elliptic or parabolic systems
• Asymptotic behavior of the solution of nonlinear elliptic or parabolic systems
• Construction of solutions of nonlinear elliptic or parabolic systems
• Fixed-point theorems and applications to nonlinear elliptic or parabolic systems
• Variational approach
• Critical point theorem
• Iterative schemes
• Numerical schemes
• Perturbations theories for nonlinear mappings with applications to nonlinear elliptic or parabolic systems
• Numerical simulation and convergence analysis
• Ergodic theory and differential dynamical systems
• Well-posed and qualitative property of solutions for the nonlinear parabolic diffusion equations with local and nonlocal terms

Before submission, authors should carefully read over the journal’s Author Guidelines, which are located at http://www.hindawi.com/journals/jam/guidelines. Prospective authors should submit an electronic copy of their complete manuscript through the journal Manuscript Tracking System at http://mts.hindawi.com/submit/journals/jam/nesp/ according to the following timetable: