Results 71 to 80 of about 383 (141)

Eigenvalues for a class of singular problems involving p(x)-Biharmonic operator and q(x)-Hardy potential

Advances in Nonlinear Analysis, 2019
In this paper, we consider the nonlinear eigenvalue problem:
Khalil Abdelouahed El, Laghzal Mohamed, Alaoui My Driss Morchid, Touzani Abdelfattah   +3 more
doaj   +1 more source

Existence results for some anisotropic possible singular problems via the sub-supersolution method

Using the sub-super solution method, we prove the existence of the solutions for the following anisotropic problem with singularity, where Ω⊂RN is a bounded domain with smooth boundary and a given singular nonlinearity f : Ω×(0,∞)⟶[0,∞) f : Ω×(0,∞)⟶[0,∞).
FOUAD, Kissi, EL AMROUSS, Abdelrachid, ABDELLAH, Hamidi   +2 more
core   +1 more source

Some numerical results of a boundary value problem with nonlinear terms

, 2020
In this work we consider numerical positive solutions of the equation −Δu = λf (u) with Dirichlet boundary condition in a bounded domain Ω, where λ > 0 and f (u) is a superlinear function of u.
G A Afrouzi, S Khademloo
core  

Capacity solution for an elliptic coupled system with lower term in Orlicz spaces

In this paper, we will deal with the capacity solution for a nonlinear elliptic coupled system with a Leray-Lions operator Au = −div σ(x, u, ∇u) acting from Orlicz-Sobolev spaces W10LM (Ω) into its dual, where M is an N -function.
AHAKKOUD, Yassine, BENNOUNA, Jaouad, EL MASSOUDI, Mhamed   +2 more
core   +1 more source

FREDHOLM AND PROPERNESS PROPERTIES OF QUASILINEAR ELLIPTIC SYSTEMS OF SECOND ORDER [PDF]

, 2017
For a large class of subsets $\varOmega\subset\mathbb{R}^{N}$ (including unbounded domains), we discuss the Fredholm and properness properties of second-order quasilinear elliptic operators viewed as mappings from $W^{2,p}(\varOmega;\mathbb{R}^{m})$ to ...
Gebran, Hicham G., Stuart, Charles A.
core  

© Hindawi Publishing Corp. UNIQUENESS AND RADIAL SYMMETRY FOR AN INVERSE ELLIPTIC EQUATION

, 2002
We consider an inverse rearrangement semilinear partial differential equation in a 2-dimensional ball and show that it has a unique maximizing energy solution. The solution represents a confined steady flow containing a vortex and passing over a seamount.
M. H. Mehrabi, B. Emamizadeh
core  

Ionic size effects: generalized Boltzmann distributions, counterion stratification and modified Debye length [PDF]

, 2013
Near a charged surface, counterions of different valences and sizes cluster; and their concentration profiles stratify. At a distance from such a surface larger than the Debye length, the electric field is screened by counterions.
Li, Bo, Liu, Pei, Bo Li, Zhou, Shenggao, Xu, Zhenli, Zhenli Xu, Shenggao Zhou, Pei Liu   +7 more
core   +1 more source

Existence and multiplicity of solutions for a new p(x)-Kirchhoff equation

Advances in Nonlinear Analysis
This article is devoted to study a class of new p(x)p\left(x)-Kirchhoff equation. By means of perturbation technique, variational method, and the method invariant sets for the descending flow, the existence and multiplicity of solutions to this problem ...
Chu Changmu, Liu Jiaquan
doaj   +1 more source

Existence of Classical Solutions for Nonlinear Elliptic Equations with Gradient Terms. [PDF]

Entropy (Basel), 2022
Li Y, Ma W.
europepmc   +1 more source

Singular limits solution for 2-dimensional elliptic problems involving exponential nonlinearities with sub-quadratic convection nonlinear gradient terms and singular weights

Advances in Nonlinear Analysis, 2014
Given a bounded open regular set Ω of ℝ2$\mathbb {R}^2$, q1,...,qK∈Ω${q_1, \ldots , q_K \hspace*{-0.85358pt}\in \hspace*{-0.85358pt} \Omega }$, a regular bounded function ϱ:Ω→[0,+∞)${\varrho \hspace*{-0.56905pt}:\hspace*{-0.56905pt} \Omega \hspace*{-0 ...
Baraket Sami, Ouni Taieb
doaj   +1 more source