Nonlinear problems related to the Thomas-Fermi equation

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Nonlinear elliptic equations with measures revisited (2007, background): “ that, by a result of Boccardo-Gallou¨et-Orsina [BGO1], every diﬀuse measure µbelongs to L1 +H−1. Concerning the existence of solutions for every measure µ∈ M(Ω), we have Theorem B.5 (B´enilan-Brezis [BB]). Assume N≥ 2 and (B.44) |g(t)| ≤ C(|t|p +1) ∀t∈ R, for some p < N N−2. Then, for every µ ∈ ”
A Complete Classification of the Isolated Singularities for Nonlinear Elliptic Equations With Inverse Square Potentials (2014, background): “19) for solving equations such as −∆u+h(u) = ν, where the right-hand side is a bounded measure (see [2]).”
Simplicity of the principal eigenvalue for indefinite quasilinear problems (2007, background): “Even when the potential V is not so regular, it was pointed out in the works of Ancona [4] and Bénilan-Brezis [Appendix C, [6]] that it is still possible to state a weaker form of the strong maximum principle.”
Elliptic problems with a Hardy potential and critical growth in the gradient: Non-resonance and blow-up results☆ (2007, background): “7) are obtained using some results in [5] (see also Section 4 in [7]).”