Uniform Hölder Estimates in a Class of Elliptic Systems and Applications to Singular Limits in Models for Diffusion Flames

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Positive Least Energy Solutions and Phase Separation for Coupled Schrödinger Equations with Critical Exponent (2012, background): “For other kinds of elliptic systems with strong competition, phase separation has also been well studied, we refer to [10, 11, 14] and references therein.”
Uniform Bounds for Strongly Competing Systems: The Optimal Lipschitz Case (2014, background): “paper [8], where it is possible to find some extensions of the previous result (involving different kind of systems, but always restricted to the case of two components).”
On Phase-Separation Models: Asymptotics and Qualitative Properties (2013, background): “Another case where the right hand side fi(ui)ui− ∑k j=1 j ̸=i αijfij(uj)ui is replaced by A(x)Π k i=1u ai i arises in combustion theory and has been considered recently by Caffarelli and Roquejoffre in [14].”