Results 1 to 10 of about 17,909,648 (352)

The existence of positive solution for an elliptic problem with critical growth and logarithmic perturbation [PDF]

Advanced Nonlinear Studies, 2022
We consider the existence and nonexistence of the positive solution for the following Brézis-Nirenberg problem with logarithmic perturbation: − Δ u = ∣ u ∣ 2 ∗ − 2 u + λ u + μ u log u 2 x ∈ Ω , u = 0 x ∈ ∂ Ω , \left\{\phantom{\rule[-1.25em]{}{0ex}}\begin{
Yinbin Deng, Qihan He, Yiqing Pan, X. Zhong   +3 more
semanticscholar   +1 more source

Maximal and minimal iterative positive solutions for p-Laplacian Hadamard fractional differential equations with the derivative term contained in the nonlinear term

AIMS Mathematics, 2021
In this paper, the maximal and minimal iterative positive solutions are investigated for a singular Hadamard fractional differential equation boundary value problem with a boundary condition involving values at infinite number of points. Green's function
Limin Guo, Lishan Liu, Ying Wang
doaj   +1 more source

A positive solution for an anisotropic $ (p,q) $-Laplacian

Discrete and Continuous Dynamical Systems. Series A, 2022
Here, the anisotropic \begin{document}$ (p, q) $\end{document}-Laplacian \begin{document}$ - \sum\limits_{i = 1}^N\frac{\partial}{\partial x_i}\left( \left|\frac{\partial u}{\partial x_i}\right|^{p_i-2}\frac{\partial u}{\partial x_i}\right) - \sum ...
A. Razani, G. Figueiredo
semanticscholar   +1 more source

Real positive solutions of operator equations $ AX = C $ and $ XB = D $

AIMS Mathematics, 2023
In this paper, we mainly consider operator equations $ AX = C $ and $ XB = D $ in the framework of Hilbert space. A new representation of the reduced solution of $ AX = C $ is given by a convergent operator sequence.
Haiyan Zhang , Yanni Dou , Weiyan Yu
doaj   +1 more source

Existence of Classical Solutions for Nonlinear Elliptic Equations with Gradient Terms

Entropy, 2022
This paper deals with the existence of solutions of the elliptic equation with nonlinear gradient term −Δu=f(x,u,∇u) on Ω restricted by the boundary condition u|∂Ω=0, where Ω is a bounded domain in RN with sufficiently smooth boundary ∂Ω, N≥2, and f:Ω¯×R×
Yongxiang Li, Weifeng Ma
doaj   +1 more source

Positive Solution For Eigen value Problems [PDF]

مجلة جامعة الانبار للعلوم الصرفة, 2010
Studying the boundary value problem :- Values of the parameter (  ) are determined for which this problem has a positive solution. The methods used here extend recent works by a simple application of a Fixed Point Theorem in cones . I show the existence
Saleh . M . Hussein
doaj   +1 more source

Existence of a positive solution for a logarithmic Schrödinger equation with saddle-like potential [PDF]

Manuscripta mathematica, 2019
In this article we use the variational method developed by Szulkin (Ann Inst H Poincaré Anal Non Linéire 3:77–109, 1986) to prove the existence of a positive solution for the following logarithmic Schrödinger equation $$\begin{aligned} \left\{ \begin ...
C. O. Alves, Chao Ji
semanticscholar   +1 more source

On the existence of positive periodic solutions for totally nonlinear neutral differential equations of the second-order with functional delay [PDF]

Opuscula Mathematica, 2014
We prove that the totally nonlinear second-order neutral differential equation \[\frac{d^2}{dt^2}x(t)+p(t)\frac{d}{dt}x(t)+q(t)h(x(t))\] \[=\frac{d}{dt}c(t,x(t-\tau(t)))+f(t,\rho(x(t)),g(x(t-\tau(t))))\] has positive periodic solutions by employing the ...
Emmanuel K. Essel, Ernest Yankson
doaj   +1 more source

The parallel approximability of a subclass of quadratic programming [PDF]

, 1997
In this paper we deal with the parallel approximability of a special class of Quadratic Programming (QP), called Smooth Positive Quadratic Programming. This subclass of QP is obtained by imposing restrictions on the coefficients of the QP instance.
Serna Iglesias, María José, Xhafa Xhafa, Fatos   +1 more
core   +1 more source

Moving mesh finite difference solution of non-equilibrium radiation diffusion equations [PDF]

, 2018
A moving mesh finite difference method based on the moving mesh partial differential equation is proposed for the numerical solution of the 2T model for multi-material, non-equilibrium radiation diffusion equations. The model involves nonlinear diffusion
Huang, Weizhang, Qiu, Jianxian, Yang, Xiaobo   +2 more
core   +2 more sources