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arxiv: 1610.02662 · v1 · pith:KHXVMMZEnew · submitted 2016-10-09 · 🧮 math.AP

On Strongly Nonlinear Eigenvalue Problems in the Framework of Nonreflexive Orlicz-Sobolev Spaces

Edcarlos D. Silva , Jose V. A. Goncalves , Kaye O. Silva This is my paper
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keywords nonlinearorlicz-sobolevproblemsspacesstronglyboundedcalledcondition
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It is established existence and multiplicity of solutions for strongly nonlinear problems driven by the $\Phi$-Laplacian operator on bounded domains. Our main results are stated without the so called $\Delta_{2}$ condition at infinity which means that the underlying Orlicz-Sobolev spaces are not reflexive.

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Cited by 2 Pith papers

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    Existence and uniqueness of positive solutions are shown for the singular problem (-Δ_Φ)^s u = u^{-γ} in W^s_0 L^Φ(Ω), with convergence in L^Φ(Ω) to the local solution as s ↑ 1.

  2. On singular problems in nonreflexive fractional Orlicz-Sobolev spaces

    math.AP 2026-05 unverdicted novelty 6.0

    Existence and uniqueness of positive solutions for singular fractional Orlicz-Sobolev problems with convergence to the local case as s approaches 1.