On eigenvalue problems governed by the (p,q)-Laplacian [PDF]
, 2023 This is a survey on recent results, mostly of the authors, regarding eigenvalue problems governed by the (p, q)−Laplacian and related open problems. Mathematics Subject Classification (2010): 35J60, 35J92, 35P30.
BARBU, Lumini¸ta +3 more
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Eigenvalues for anisotropic p−Laplacian under a Steklov-like boundary condition [PDF]
, 2021 The eigenvalue problem −div (1p∇ξ(Fp(∇u))=λa(x)∣u∣q−2u, with $q\in (1, \infty),~ p\in \Big(\frac{Nq}{N+q-1}, \infty\Big),~ p\neq q,$ subject to Steklov-like boundary condition, Fp−1(∇u)∇ξF(∇u)⋅ν=λb(x)∣u∣q−2u is investigated on a bounded Lipschitz domain $
BARBU, Luminița
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Existence and multiplicity of solutions to the Navier boundary value problem for a class of (p(x), q(x))-biharmonic systems [PDF]
, 2020 In this article, we study the following problem with Navier boundary conditions. ∆(a(x, ∆u)) = Fu(x, u, v), in Ω ∆(a(x, ∆v)) = Fv (x, u, v), in Ω, u = v = ∆u = ∆v = 0 on ∂Ω.
TSOULI, Najib +2 more
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Existence of solutions for a p-Laplacian Kirchhoff type problem with nonlinear term of superlinear and subcritical growth [PDF]
, 2022 This paper is concerned by the study of the existence of nonnegative and nonpositive solutions for a nonlocal quasilinear Kirchhoff problem by using the Mountain Pass lemma technique.
TOUFIK, Moussaoui, IMANE, Melzi
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Advanced Nonlinear Studies, 2023 In this work, we analyze the asymptotic behavior of a class of quasilinear elliptic equations defined in oscillating (N+1)\left(N+1)-dimensional thin domains (i.e., a family of bounded open sets from RN+1{{\mathbb{R}}}^{N+1}, with corrugated bounder ...
Nakasato Jean Carlos +1 more
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A bifurcation result involving Sobolev trace embedding and the duality mapping of W1,p
Moroccan Journal of Pure and Applied Analysis, 2017 We consider the perturbed nonlinear boundary condition ...
El Khalil Abdelouahed
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Continuity results for parametric nonlinear singular Dirichlet problems
Advances in Nonlinear Analysis, 2019 In this paper we study from a qualitative point of view the nonlinear singular Dirichlet problem depending on a parameter λ > 0 that was considered in [32].
Bai Yunru +2 more
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A Picone identity for variable exponent operators and applications
Advances in Nonlinear Analysis, 2019 In this work, we establish a new Picone identity for anisotropic quasilinear operators, such as the p(x)-Laplacian defined as div(|∇ u|p(x)−2 ∇ u).
Arora Rakesh +2 more
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On viscosity and weak solutions for non-homogeneous p-Laplace equations
Advances in Nonlinear Analysis, 2017 In this manuscript, we study the relation between viscosity and weak solutions for non-homogeneous p-Laplace equations with lower-order term depending on x, u and ∇u{\nabla u}.
Medina Maria, Ochoa Pablo
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Supersolutions to nonautonomous Choquard equations in general domains
Advances in Nonlinear Analysis, 2023 We consider the nonlocal quasilinear elliptic problem: −Δmu(x)=H(x)((Iα*(Qf(u)))(x))βg(u(x))inΩ,-{\Delta }_{m}u\left(x)=H\left(x){(\left({I}_{\alpha }* \left(Qf\left(u)))\left(x))}^{\beta }g\left(u\left(x))\hspace{1.0em}\hspace{0.1em}\text{in}\hspace{0 ...
Aghajani Asadollah, Kinnunen Juha
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