Order Structure and Topological Methods in Nonlinear Partial Differential Equations: Vol. 1: Maximum Principles and Applications

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Swarm dynamics and equilibria for a nonlocal aggregation model (2011, methodology): “We apply the Krein-Rutman theorem [27] to operator T1 in the following setup.”
Variational Approach for Learning Markov Processes from Time Series Data (2017, methodology): “In addition, according to the Krein-Rutman Theorem [13], we can conclude that ( σ 1 , φ 1 , ψ 1 ) = (1 , 1 , 1 ) .”
Stationary states of quadratic diffusion equations with long-range attraction (2011, background): “An important consequence [23] of the Krein–Rutman theorem, which will be extremely useful in the sequel, is the following”