Regularity Results for Nonlinear Elliptic Systems and Applications

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Regularity of minima: An invitation to the dark side of the calculus of variations (2006, background): “A good reference for regularity results for elliptic systems is also [31].”
Nonlinear elliptic systems and mean-field games (2016, methodology): “(54) Following the classical theory initiated by Friedman [32] and continued by Bensoussan and Frehse [14–16], we look at the Nash equilibria for the maximization of the pre-Hamiltonians with parameters x , p ∈ R, j = 1, .”
Boundary Regularity in Variational Problems (2010, unknown): “Variational Calderón-Zygmund estimates 47 References 61”
Harmonic type approximation lemmas (2009, methodology): “We also refer the reader to [9] for techniques related to Theorem 3.”
Elliptic Boundary Value Problems of Second Order in Piecewise Smooth Domains (2006, background): “The regularity theory of weak solutions for quasilinear elliptic equations of the arbitrary order and elliptic systems as well as their solvability in a smooth domain are investigated in the monographs [181]- [183], [357, 99, 40 ].”
A nonlinear Stein theorem (2014, background): “≤ c ( % R )β (∫ BR |V (Dvj)− (V (Dvj))BR | dx )1/t (38) for every t ∈ [1, 2] and again for c ≡ c(n,N, p).”
Very weak solutions of nonlinear subelliptic equations (2005, background): “For the proof in the euclidean case see for instance [1], [10], [23].”