Mountain pass type solutions for quasilinear elliptic equations

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Basic results of fractional Orlicz-Sobolev space and applications to non-local problems (2019, background): “1 in [9]) we deduce that there exists a sequence (un) ⊂ W̃ s,M 0 (Ω) such that Iλ(un) → c > 0 and I ′ λ(un) → 0, (4.”
Strauss- and Lions-type results for a class of Orlicz-Sobolev spaces and applications (2013, methodology): “We cite the papers of Bonanno, Bisci and Radulescu [5, 6], Cerny [7], Clément, Garcia-Huidobro and Manásevich [8], Donaldson [11], Fuchs and Li [14], Fuchs and Osmolovski [15], Fukagai, Ito and Narukawa [16, 17], Gossez [18], Le and Schmitt [19], Mihailescu and Radulescu [21, 22], Mihailescu and Rep”
Arbitrarily small weak solutions for a nonlinear eigenvalue problem in Orlicz–Sobolev spaces (2012, background): “The Orlicz space L ( ) defined by the N–function (see for instance [1] and [7]) is the space of measurable functions u : → R such that ‖u‖L := sup ⎧⎨ ⎩ ∫ u(x)v(x) dx; ∫ (|v(x)|) dx ≤ 1 ⎫⎬ ⎭ < ∞.”
On a non-homogeneous eigenvalue problem involving a potential: an Orlicz-Sobolev space setting (2016, unknown): “The Orlicz spaces LΦi (Ω), i = 1,2, defined by the N -functions Φi (see [2,3,6]) are the spaces of measurable functions u :Ω → R such that ‖u‖LΦi := sup { ∫”