Results 111 to 120 of about 8,578,478 (315)

Positive radial solutions of a nonlinear boundary value problem

open access: yes, 2018
In this work we study the following quasilinear elliptic equation: \begin{document}$\left\{ {\begin{array}{*{20}{l}}{ - {\rm{div}}(\frac{{|x{|^\alpha }\nabla u}}{{{{(a(|x|) + g(u))}^\gamma }}}) = |x{|^\beta }{u^p}}&{{\rm{in}} \ \Omega }\\{u = 0}&{{\rm{on}
Patricio Cerda   +3 more
semanticscholar   +1 more source

Positive radial solutions for a class of quasilinear Schrödinger equations in R3 [PDF]

open access: yes, 2022
This paper is concerned with the following quasilinear Schrödinger equations of the form: −∆u − u∆(u 2 ) + u = |u| p−2u, x ∈ R 3 where p ∈ (2, 12). By making use of the constrained minimization method on a special manifold, we prove that the existence of
Hu Weifeng, Jia Gao, Wang Zhongxiang
core  

Thermal Cycle–Microstructure–Property Relationships in Rail Steel Heat‐Affected Zone Simulated by Gleeble

open access: yesAdvanced Engineering Materials, EarlyView.
Microstructural evolution of premium rail steel during flash butt welding (FBW), comparing physically simulated heat‐affected zones with actual weld regions. Thermal cycles induce phase transformations and microstructural heterogeneity that influence weld quality and mechanical performance. These findings provide insights into optimizing FBW parameters
Emmanoelle Cintra da Cunha Araújo   +15 more
wiley   +1 more source

Some Properties of Positive Solutions for Nonlinear Systems Involving Pseudo-Relativistic Operators

open access: yesFractal and Fractional
In this paper, we mainly investigate the radial symmetry and monotonicity of positive solutions for a nonlinear system involving pseudo-relativistic operators and fractional derivatives of order (0,1).
Xiaoshan Wang, Zengbao Wu
doaj   +1 more source

Coercive elliptic systems with gradient terms

open access: yesAdvances in Nonlinear Analysis, 2017
In this paper we give a classification of positive radial solutions of the following system:
Filippucci Roberta, Vinti Federico
doaj   +1 more source

Positive radial solutions of n-dimensional elliptic systems with indefinite weight functions and n parameters

open access: yesAdvances in Difference Equations, 2019
Under simple conditions on f and a, we show the existence of positive radial solutions for the n-dimensional elliptic differential system {Δu(x)+Λa(|x|)f(u(x))=0,R10,x∈Rn,n≥2 $\mathbf{x}=(x_{1},x_{2},\ldots ,x_{n})^{T}, \mathbf{u}(\mathbf {x})=(u _{1 ...
Meiqiang Feng, Ping Li
doaj   +1 more source

Enhancing Low‐Temperature Performance of Sodium‐Ion Batteries via Anion‐Solvent Interactions

open access: yesAdvanced Functional Materials, EarlyView.
DOL is introduced into electrolytes as a co‐solvent, increasing slat solubility, ion conductivity, and the de‐solvent process, and forming an anion‐rich solvent shell due to its high interaction with anion. With the above virtues, the batteries using this electrolyte exhibit excellent cycling stability at low temperatures. Abstract Sodium‐ion batteries
Cheng Zheng   +7 more
wiley   +1 more source

Structure of positive radial solutions including singular solutions to Matukuma's equation

open access: yesCommunications on Pure and Applied Analysis, 2005
We consider positive solutions of Matukuma's equation, which is described by a nonlinear elliptic equation with a weight. Any radially symmetric solution of this equation is said to be regular or singular according to its behavior near the origin and infinity. We investigate the structure of positive radial regular and singular solutions.
Hiroshi Morishita   +2 more
openaire   +1 more source

Positive Solutions for Singular Boundary Value Problem with p-Laplacian

open access: yes, 2015
[[abstract]]In this paper, five functionals fixed point theorem is extended and applied to singular boundary value problem with p-Laplacian.
Yu, Ti-an, Ge, Wei-gao
core  

On the structure of radial solutions for some quasilinear elliptic equations [PDF]

open access: yes, 2019
In this paper we study entire radial solutions for the quasilinear p-Laplace equation **formula** where k is a radial positive weight and the nonlinearity behaves e.g. as **formula** with **formula**.
Sfecci, Andrea
core   +1 more source

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