Results 41 to 50 of about 431 (62)

Some remarks on the comparison principle in Kirchhoff equations [PDF]

, 2018
In this paper we study the validity of the comparison principle and the sub-supersolution method for Kirchhoff type equations. We show that these principles do not work when the Kirchhoff function is increasing, contradicting some previous results.
Malcher Figueiredo, Giovany de Jesus, Suárez Fernández, Antonio   +1 more
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k-convex solutions for multiparameter Dirichlet systems with k-Hessian operator and Lane-Emden type nonlinearities

Advances in Nonlinear Analysis
In this article, our main aim is to investigate the existence of radial kk-convex solutions for the following Dirichlet system with kk-Hessian operators: Sk(D2u)=λ1ν1(∣x∣)(−u)p1(−v)q1inℬ(R),Sk(D2v)=λ2ν2(∣x∣)(−u)p2(−v)q2inℬ(R),u=v=0on∂ℬ(R).\left\{\begin ...
He Xingyue, Gao Chenghua, Wang Jingjing
doaj   +1 more source

Existence of positive solutions for non local p-Laplacian thermistor problems on time scales [PDF]

, 2007
We make use of the Guo-Krasnoselskii fixed point theorem on cones to prove existence of positive solutions to a non local p-Laplacian boundary value problem on time scales arising in many applications. © 2007 Victoria University.
Ammi, M.R.S., Torres, D.F.M.
core   +1 more source

Regular Versus Singular Solutions in a Quasilinear Indefinite Problem with an Asymptotically Linear Potential

Advanced Nonlinear Studies, 2020
The aim of this paper is analyzing the positive solutions of the quasilinear ...
López-Gómez Julián, Omari Pierpaolo
doaj   +1 more source

On singularly weighted generalized Laplacian systems and their applications

Advances in Nonlinear Analysis, 2018
We study the homogeneous Dirichlet boundary value problem of generalized Laplacian systems with a singular weight which may not be integrable. Some explicit intervals which correspond to the existence and nonexistence of positive solutions for the system
Xu Xianghui, Lee Yong-Hoon
doaj   +1 more source

Existence and multiplicity of solutions in fourth order BVPs with unbounded nonlinearities [PDF]

, 2013
In this work the authors present some existence, non-existence and location results of the problem composed of a fourth order fully nonlinear equation with a parameter.In this work it is applied an Ambrosetti-Prodi type approach, with some new features ...
Fialho, João, Minhós, Feliz
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Existence and multiplicity of positive solutions for multiparameter periodic systems

Open Mathematics
We deal with the existence and multiplicity of positive solutions for differential systems depending on two parameters, λ1,λ2{\lambda }_{1},{\lambda }_{2}, subjected to periodic boundary conditions.
Wei Liping, Dai Yongqiang, Su Shunchang
doaj   +1 more source

One-dimensional singular problems involving the p-Laplacian and nonlinearities indefinite in sign

Advances in Nonlinear Analysis, 2016
Let Ω be a bounded open interval, let p>1${p>1}$ and γ>0${\gamma>0}$, and let m:Ω→ℝ${m:\Omega\rightarrow\mathbb{R}}$ be a function that may change sign in Ω.
Kaufmann Uriel, Medri Iván
doaj   +1 more source

Existence and global asymptotic behavior of positive solutions for combined second-order differential equations on the half-line

Advances in Nonlinear Analysis, 2016
We are concerned with the existence, uniqueness and global asymptotic behavior of positive continuous solutions to the second-order boundary value ...
Bachar Imed, Mâagli Habib
doaj   +1 more source

Positive solutions of nth-order impulsive differential equations with integral boundary conditions

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016
This paper is concerned with the existence and nonexistence of positive solutions of nth-order impulsive boundary value problem with integral boundary conditions.
Tokmak Fen Fatma, Yaslan Karaca Ilkay
doaj   +1 more source