Bifurcation from Simple Eigenvalues and Eigenvalues of Geometric Multiplicity One

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Unilateral global bifurcation phenomena and nodal solutions for p-Laplacian ✩ (2012, background): “However, as pointed out by Dancer [6,7] and LópezGómez [20], the proofs of these theorems contain gaps, the original statement of Theorem 1.”
On global bifurcation for quasilinear elliptic systems on bounded domains (2009, background): “(However, as pointed out by Dancer [11] and López-Gómez [24, p.”
Algebraic Multiplicity of Eigenvalues of Linear Operators (2007, result): “Some sharp improvements of these pioneering results were later found by Dancer [24, 25], Ize [61], Magnus [92] and López-Gómez [82] in connection with the problem of ascertaining the fine structure of the compact components of S meeting R× {0}.”
Global structure of radial positive solutions for a prescribed mean curvature problem in a ball (2014, unknown): “the counterexample of Dancer [17]), the reflection argument of [30] can be applied to conclude that C = C+ ∪ C−, where C+ stands for the component of positive solutions emanating at λ1(m, δ), as λLδ(−u) +Hδ(λ,−u) = −[λLδ(u) +Hδ(λ, u)] ∀ u ∈ Eδ.”