edited by Kung-Ching Chang (Peking University, China) & Yiming Long (Nankai University, China)

The real world is complicated, as a result of which most mathematical models arising from mechanics, physics, chemistry and biology are nonlinear. Based on the efforts of scientists in the 20th century, especially in the last three decades, topological, variational, geometrical and other methods have developed rapidly in nonlinear analysis, which made direct studies of nonlinear models possible in many cases, and provided global information on nonlinear problems which was not available by the traditional linearization method. This volume reflects that rapid development in many areas of nonlinear analysis.

• Extremal Sign Changing Solutions of Semilinear Dirichlet Problems (T Bartsch)
• On the Principal Eigenvalue of Elliptic System with Indefinite Weight and Applications (K-C Chang)
• The Ricci Flow on Complete Three-Manifolds (B-L Chen & X-P Zhu)
• Heteroclinic Orbits of Second Order Hamiltonian Systems (C-N Chen)
• On the Connecting Orbits Among Local Minimizers for Monotone Twist Map (W Cheng & C-Q Cheng)
• Properties of Solutions of Some Forced Nonlinear Oscillators at Resonance (C Fabry & J Mawhin)
• Variational S¹-symmetric Problems with Resonance at Infinity (N Hirano & S Rybicki)
• Multiplicity Results for Hamiltonian Systems with Nonconvex Hamiltonian Functions (M Izydorek)
• Dynamics on Compact Convex Hypersurfaces in R²ⁿ (Y-M Long)
• Low Dimension Anomalies and Solvability in Higher Dimensions for Some Perturbed Pohozaev Equation (G Mancini)
• A New Proof of a Theorem of Strobel (P Rabinowitz)
• Global Injectivity and Asymptotic Stability via Minimax Method (E A B Silva & M A Teixeira)
• Prescribed Energy Problem for a Singular Hamiltonian System of 2-body Type (K Tanaka)
• Geometric Structures of the Solutions for Certain Elliptic Differential Equations (X-F Yang)
• KAM Theory for Lower Dimensional Tori of Nearly Integrable Hamiltonian Systems (J-G You)
• Periodic Solutions for N-Body Problems (S-Q Zhang)
• and other papers