Qualitative Phenomena for Some Classes of Quasilinear Elliptic Equations with Multiple Resonance

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On a Class of Parametric (p, 2)-equations (2016, methodology): “Since φλ ∈ C 2(W 1,p 0 (Ω)), from (31) and Papageorgiou and Smyrlis [29] (see also Papageorgiou and Rădulescu [26]) it follows that (32) Ck(φλ, ŷ) = δk,1Z for all k > 0.”
Coercive and noncoercive nonlinear Neumann problems with indefinite potential (2016, methodology): “Finally, resonant semilinear equations with an indefinite and unbounded potential were investigated by Papageorgiou and Rădulescu [31].”
Nonlinear nonhomogeneous singular problems (2019, background): “n particular, we mention the works of Cingolani & Degiovanni [6], Marano & Mosconi [24], Marano, Mosconi & Papageorgiou [25], Mugnai & Papageorgiou [26], Papageorgiou & Ra˘dulescu [27], and Sun, Zhang & Su [42]. (c) a(y) = (1 + |y|2)p−22y with 1 < p < ∞. The diﬀerential”
Nonlinear Nonhomogeneous Robin Problems with Superlinear Reaction Term (2016, background): “Recently there have been some existence and multiplicity results for such equations, see [5, 9, 15, 27, 34, 35, 39, 40].”