Results 11 to 20 of about 3,569,907 (305)

Nonlocal eigenvalue problems with indefinite weight [PDF]

open access: yesMethods of Functional Analysis and Topology, 2020
In the present paper, we consider a class of eigenvalue problems driven by a nonlocal integro-di erential operator \scrL K with Dirichlet boundary conditions.
Said Taarabti
semanticscholar   +2 more sources

Three positive solutions of $N$-dimensional $p$-Laplacian with indefinite weight

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2019
This paper is concerned with the global behavior of components of positive radial solutions for the quasilinear elliptic problem with indefinite weight \begin{equation*} \begin{aligned} &\text{div}(\varphi_p(\nabla u))+\lambda h(x)f(u)=0, & & \text{in ...
Tianlan Chen, Ruyun Ma
doaj   +2 more sources

Nonlinear concave-convex problems with indefinite weight

open access: yesComplex Variables and Elliptic Equations, 2021
We consider a parametric nonlinear Robin problem driven by the p-Laplacian and with a reaction having the competing effects of two terms. One is a parametric -sublinear term (concave nonlinearity) and the other is a -superlinear term (convex nonlinearity)
N. Papageorgiou, C. Vetro, F. Vetro
semanticscholar   +2 more sources

On positive solutions of second-order delayed differential system with indefinite weight

open access: yesBoundary Value Problems, 2021
In this paper, we study the existence of positive solutions of a second-order delayed differential system, in which the weight functions may change sign. To prove our main results, we apply Krasnosel’skii’s fixed point theorems in cones.
Fanglei Wang, Ran Ding
doaj   +2 more sources

Spectral properties of singular Sturm-Liouville operators with indefinite weight sgn x [PDF]

open access: green, 2007
We consider a singular Sturm-Liouville expression with the indefinite weight sgn x. To this expression there is naturally a self-adjoint operator in some Krein space associated.
Karabash, I., Trunk, C.
core   +4 more sources

Bifurcation from zero or infinity in nonlinearizable Sturm–Liouville problems with indefinite weight

open access: diamondElectronic Journal of Qualitative Theory of Differential Equations, 2021
In this paper, we consider bifurcation from zero or infinity of nontrivial solutions of the nonlinear Sturm–Liouville problem with indefinite weight. This problem is mainly important because of it is related with a selection-migration model in genetic ...
Ziyatkhan Aliyev, Leyla Nasirova
doaj   +2 more sources

Periodic Solutions of a Singular Equation With Indefinite Weight

open access: bronzeAdvanced Nonlinear Studies, 2010
AbstractMotivated by some relevant physical applications, we study the existence and uniqueness of T-periodic solutions for a second order differential equation with a piecewise constant singularity which changes sign. Other questions like the stability and robustness of the periodic solution are considered.
José Luis Bravo, Pedro J. Torres
openalex   +4 more sources

Triple solutions for a Leray-Lions p(x)-biharmonic operator involving Hardy potential and indefinite weight

open access: yesAIMS Mathematics
Existence and multiplicity of three weak solutions for a Leray-Lions $ p(x) $-biharmonic problem involving Hardy potential and indefinite weight were proved. Our main tools combined variational methods and some critical theorems.
K. Kefi , Jian Liu
doaj   +2 more sources

Non-real eigenvalues of symmetric Sturm–Liouville problems with indefinite weight functions

open access: diamondElectronic Journal of Qualitative Theory of Differential Equations, 2017
The present paper deals with non-real eigenvalues of regular Sturm–Liouville problems with odd symmetry indefinite weight functions applying the two-parameter method.
Bing Xie, huaqing Sun, Xinwei Guo
doaj   +2 more sources

On the existence of positive solutions for an ecological model with indefinite weight

open access: hybridArab Journal of Mathematical Sciences, 2016
This study concerns the existence of positive solutions for the following nonlinear boundary value problem: {−Δu=am(x)u−bu2−cupup+1−Kin  Ω,u=0on  ∂Ω, where Δu=div(∇u) is the Laplacian of u, while a,b,c,p,K are positive constants with p≥2 and Ω is a ...
Saleh Shakeri   +2 more
doaj   +2 more sources

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