Nonlinear Analysis and Semilinear Elliptic Problems: Contents

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Variational Methods on Finite Dimensional Banach Spaces and Discrete Problems (2014, background): “In particular, the problem ⎪⎪⎨⎪⎪⎩ −Δ2u(k − 1) = 1 2 u(k) ln2(u(k)) + 1 2 u(k) ln(u(k)) + 1 4 , k ∈ [1, 2], u(0) = u(3) = 0, (6.”
A natural constraint approach to normalized solutions of nonlinear Schr\"odinger equations and systems (2016, methodology): “For the definitions and the properties of catZ/2 and genus we refer to [6, Section 2] (there it is considered a much more general setting with respect to the one considered here; an easier reference for the genus is [3]).”
A bifurcation result for non-local fractional equations (2015, background): “Most of the results in this direction were obtained through bifurcation theory (for an extensive treatment of this matters we refer to [1, 2] and their bibliography).”
An Introduction to Nonlinear Functional Analysis and Elliptic Problems (2011, methodology): “Actually, there are examples in which a functional J has an unbounded sequence of critical points but satisfies the (PS)c condition for every c ∈ R (see [15, 18, 77]).”