Results 61 to 70 of about 2,557 (109)

Asymptotic mean-value formulas for solutions of general second-order elliptic equations

Advanced Nonlinear Studies, 2022
We obtain asymptotic mean-value formulas for solutions of second-order elliptic equations. Our approach is very flexible and allows us to consider several families of operators obtained as an infimum, a supremum, or a combination of both infimum and ...
Blanc Pablo, Charro Fernando, Manfredi Juan J., Rossi Julio D.   +3 more
doaj   +1 more source

On a nonlinear Robin problem with an absorption term on the boundary and L1 data

Advances in Nonlinear Analysis
We deal with existence and uniqueness of nonnegative solutions to: −Δu=f(x),inΩ,∂u∂ν+λ(x)u=g(x)uη,on∂Ω,\left\{\begin{array}{ll}-\Delta u=f\left(x),\hspace{1.0em}& \hspace{0.1em}\text{in}\hspace{0.1em}\hspace{0.33em}\Omega ,\\ \frac{\partial u}{\partial ...
Pietra Francesco Della, Oliva Francescantonio, León Sergio Segura de   +2 more
doaj   +1 more source

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

Constant sign and nodal solutions for superlinear (p, q)–equations with indefinite potential and a concave boundary term

Advances in Nonlinear Analysis, 2020
We consider a nonlinear elliptic equation driven by the (p, q)–Laplacian plus an indefinite potential. The reaction is (p − 1)–superlinear and the boundary term is parametric and concave.
Papageorgiou Nikolaos S., Zhang Youpei
doaj   +1 more source

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

A compactness result for a Gelfand-Liouville system with Lipschitz condition

, 2015
We give a quantization analysis to an elliptic system (Gelfand-Liouville type system) with Dirichlet condition.
Bahoura, Samy Skander
core  

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

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

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

Harnack type inequality on Riemannian manifolds of dimension 5

, 2013
We give some estimates of type sup * inf on Riemannian manifold of dimension 5.Comment: 12 pages.
Bahoura, Samy Skander, Prajapat, Jyotshana V.   +1 more
core   +1 more source