In this paper we prove the existence of multiple positive solutions for a quasilinear elliptic
problem with unbalanced growth in expanding domains by using variational methods and …

In this paper, we study nonlinear elastic problem of the type {− Δ Φ u+ K (x) u− α| u| L Λ γ= λ
up| u| L Ψ q, in Ω, u= 0, on∂ Ω, where q, γ are positive constants and p, α∈(0, 1).|⋅| L Ψ,|⋅ …

We investigate the following elliptic equations:\left {-M\left (R^ N ϕ (\left| ∇ u\right|^ 2)
dx\right) div (ϕ ′ (\left| ∇ u\right|^ 2) ∇ u)+\left| u\right|^ α-2 u= λ h (x, u),\hfill u (x) → 0,\;\;\;\; …

We deal with the following elliptic equations: $\{-div ({\varphi}^{\prime}(\left|{\nabla} z\right|^
2){\nabla} z)+ V (x)\left| z\right|^{{\alpha}-2} z={\lambda}{\rho}(x)\left| z\right|^{r-2} z+ h (x, z),\\z …

This article demonstrates some properties of the Riemann-Liouville (RL) fractional integral
operator like acting, continuity, and boundedness in Orlicz spaces Lφ. We apply these …

In this work, we study the existence of positive solutions for the following class of
semipositone quasilinear problems:− Δ Φ u= λ f (x, u)+ b (u)− a in Ω, u> 0 in Ω, u= 0 on∂ Ω …

We investigate the multiplicity of radially symmetric solutions for the quasilinear elliptic
equation of Kirchhoff type. This paper is devoted to the study of the L∞-bound of solutions to …

This paper studies some quasilinear elliptic nonlocal equations involving Orlicz–Sobolev
spaces. On the one hand, a new sub-supersolution theorem is proved via the …

Multiple solutions for a class of quasilinear problems in Orlicz–Sobolev spaces - IOS Press You
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The aim of this work is to establish the existence and multiplicity of solutions for the following
class of quasilinear problems-div\big (ε^ 2 ϕ (ε| ∇ u|) ∇ u\big)+ V (x) ϕ (| u |) u= f (u)\quad in …