Uniform Bounds for Strongly Competing Systems: The Optimal Lipschitz Case

2015/04/10 by Nicola Soave, Alessandro Zilio · 7 citations
Physics and Astronomy · Mathematics · Engineering · #Quantum chaos and dynamical systems #Spectral Theory in Mathematical Physics #Stability and Controllability of Differential Equations

paper · doi:10.1007/s00205-015-0867-9

Citations

• Some New Monotonicity Theorems with Applications to Free Boundary Problems
• A Free Boundary Problem Arising from Segregation of Populations with High Competition
• On Phase-Separation Models: Asymptotics and Qualitative Properties
• Uniform Hölder Estimates in a Class of Elliptic Systems and Applications to Singular Limits in Models for Diffusion Flames
• Variational problems with two phases and their free boundaries

Cited by

• Spiraling Asymptotic Profiles of Competition‐Diffusion Systems
• A natural constraint approach to normalized solutions of nonlinear Schrödinger equations and systems
• Generic configurations in 2D strongly competing systems
• Competition in periodic media: III -- Existence & stability of segregated periodic coexistence states
• On the emergence of dead cores in elliptic systems with sublinear competitive interactions
• A survey on the optimal partition problem
• Spectral minimal partitions of unbounded domains