Results 61 to 68 of about 416 (68)

Nonlinear elliptic unilateral problems with measure data in the anisotropic Sobolev space

Nonautonomous Dynamical Systems
In this article, we consider a nonlinear elliptic unilateral equation whose model is −∑i=1N∂iσi(x,u,∇u)+L(x,u,∇u)+N(x,u,∇u)=μ−divϕ(u)inΩ.-\mathop{\sum }\limits_{i=1}^{N}{\partial }^{i}{\sigma }_{i}\left(x,u,\nabla u)+L\left(x,u,\nabla u)+N\left(x,u ...
Bouzelmate Arij, El Haji Badr, Lamtarah Adnan   +2 more
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Global W1,p(·) estimate for renormalized solutions of quasilinear equations with measure data on Reifenberg domains

Advances in Nonlinear Analysis, 2018
In this paper, we prove the gradient estimate for renormalized solutions to quasilinear elliptic equations with measure data on variable exponent Lebesgue spaces with BMO coefficients in a Reifenberg flat domain.
Bui The Anh
doaj   +1 more source

On Cauchy–Liouville-type theorems

Advances in Nonlinear Analysis, 2017
In this paper we explore Liouville-type theorems to solutions of PDEs involving the ϕ-Laplace operator in the setting of Orlicz–Sobolev spaces. Our results extend Liouville-type theorems that have been obtained recently.
Araya Ataklti, Mohammed Ahmed
doaj   +1 more source

Entire radial bounded solutions for Leray-Lions equations of (p, q)-type

Advances in Nonlinear Analysis
We prove the existence of entire, radial, and signed bounded solutions for a quasilinear elliptic equation in RN{{\mathbb{R}}}^{N} driven by a Leray-Lions operator of the (p, q)-type.
Mennuni Federica, Mugnai Dimitri, Salvatore Addolorata   +2 more
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Two uniqueness results in the inverse boundary value problem for the weighted p-Laplace equation

Forum of Mathematics, Sigma
In this paper we prove a general uniqueness result in the inverse boundary value problem for the weighted p-Laplace equation in the plane, with smooth weights.
Catalin Carstea, Ali Feizmohammadi
doaj   +1 more source

Nontrivial solutions for a generalized poly-Laplacian system on finite graphs

Demonstratio Mathematica
We investigate the existence and multiplicity of solutions for a class of the generalized coupled system involving poly-Laplacian and the parameter λ\lambda on finite graphs.
Qi Wanting, Zhang Xingyong
doaj   +1 more source

Multiplicity and concentration behavior of solutions for the generalized quasilinear Schrödinger equation with critical growth

Demonstratio Mathematica
In this study, we are interested in multiplicity results for positive solutions of the generalized quasilinear Schrödinger equations with critical growth −div(g2(u)∇u)+g(u)g′(u)∣∇u∣2+V(εx)u=∣u∣αp−2u+Q(εx)∣u∣α2*−2u,x∈RN,-\mathrm{div}({g}^{2}\left(u)\nabla
Chen Yongpeng, Yang Zhipeng
doaj   +1 more source

An Efficient Quasi-Newton Method with Tensor Product Implementation for Solving Quasi-Linear Elliptic Equations and Systems. [PDF]

J Sci Comput
Hao W, Lee S, Zhang X.
europepmc   +1 more source