Existence of positive solutions for a critical fractional Kirchhoff equation with potential vanishing at infinity
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DOI: 10.1002/mana.201900273
Abstract: In this paper, we consider the following fractional Kirchhoff equation with critical nonlinearity a+b∫R3(−Δ)s2u2dx(−Δ)su+V(x)u=Q(x)f(u)+|u|2s∗−2u,x∈R3,where a,b>0 , (−Δ)s is the fractional Laplace operator with s∈(34,1) , V vanishes at infinity and 2s∗=63−2s . Under appropriate assumptions… read more here.
Keywords: kirchhoff equation; existence positive; fractional kirchhoff; infinity ... See more keywords
Existence of positive periodic solutions of first‐order neutral differential equations
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DOI: 10.1002/mma.3981
Abstract: This paper presents the existence of positive periodic solutions for first-order neutral differential equation with distributed deviating arguments. We apply Krasnoselskii's fixed point theorem to obtain our results. An example is given to support the… read more here.
Keywords: order neutral; solutions first; first order; periodic solutions ... See more keywords
Existence of Positive Solution for Kirchhoff Problems
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DOI: 10.1007/s11785-017-0709-x
Abstract: In this work, we study the following Kirchhoff type problem $$\begin{aligned} \begin{gathered} -\Big (a+b\int _{\Omega }|\nabla u|^pdx\Big )\Delta _p u =g(x)u^{-\gamma }+\lambda f(x,u),\quad \text {in }\Omega , \\ u=0, \quad \text {on }\partial \Omega ,… read more here.
Keywords: kirchhoff; solution kirchhoff; existence positive; positive solution ... See more keywords
Non-existence of positive solutions to nonlocal Lane-Emden equations
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DOI: 10.1016/j.jmaa.2020.124067
Abstract: Abstract This paper is concerned with non-existence of positive solutions to nonlocal Lane-Emden equations. Firstly, we establish the “Fujita index” for nonlocal reaction-diffusion equations, which is new in the blowup theory. Then the non-existence of… read more here.
Keywords: nonlocal lane; solutions nonlocal; positive solutions; existence positive ... See more keywords
Existence of Positive Weak Solutions for Quasi-Linear Kirchhoff Elliptic Systems via Sub-Supersolutions Concept
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DOI: 10.1155/2020/6527672
Abstract: By using the sub- and supersolutions concept (Schmitt, 2007), we prove in this paper the existence of positive solutions of quasi-linear Kirchhoff elliptic systems in bounded smooth domains. This work is an extension of the… read more here.
Keywords: existence positive; solutions quasi; linear kirchhoff; sub supersolutions ... See more keywords
Existence of Positive Solutions for a Nonlinear Iterative System of Boundary Value Problems with Tempered Fractional Order Derivative
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DOI: 10.1155/2024/8862634
Abstract: This paper investigates the existence of positive solutions for an iterative system of nonlinear two‐point tempered fractional boundary value problem. Utilizing Krasnoselskii’s fixed point theorem in a cone, we establish criteria for the existence of… read more here.
Keywords: positive solutions; iterative system; boundary value; tempered fractional ... See more keywords
Existence of positive solutions to negative power nonlinear integral equations with weights
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DOI: 10.1186/s13661-020-01380-x
Abstract: This paper is devoted to the existence and non-existence of positive solutions to the following negative power nonlinear integral equation related to the sharp reversed Hardy–Littlewood–Sobolev inequality: f q − 1 ( x ) =… read more here.
Keywords: negative power; positive solutions; existence positive; nonlinear integral ... See more keywords
Existence of positive periodic solutions for Liénard equation with a singularity of repulsive type
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DOI: 10.1186/s13661-024-01894-8
Abstract: In this paper, the existence of positive periodic solutions is studied for Liénard equation with a singularity of repulsive type, x ″ ( t ) + f ( x ( t ) ) x ′… read more here.
Keywords: positive periodic; singularity repulsive; equation singularity; periodic solutions ... See more keywords
Existence of positive solutions for integral boundary value problems of fractional differential equations with p-Laplacian
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DOI: 10.1186/s13662-017-1086-5
Abstract: This paper is concerned with the existence of positive solutions for integral boundary value problems of Caputo fractional differential equations with p-Laplacian operator. By means of the properties of the Green’s function, Avery-Peterson fixed point… read more here.
Keywords: solutions integral; positive solutions; existence positive; integral boundary ... See more keywords
Interval of the existence of positive solutions for a boundary value problem for system of three second-order differential equations
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DOI: 10.14232/ejqtde.2024.1.41
Abstract: The aim of this paper is to estimate an interval of the existence of positive solutions for a boundary value problem for the system of three nonlinear second-order ordinary differential equations. Krasnosel'skiĭ–Precup fixed point theorem… read more here.
Keywords: solutions boundary; differential equations; positive solutions; interval existence ... See more keywords
Existence of positive weak solutions for fractional Laplacian elliptic systems
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DOI: 10.1515/gmj-2025-2049
Abstract: Abstract In this paper, we focus on studying the existence of positive weak solutions for a class of fractional Laplacian systems with respect to another function ψ ( ⋅ ) {\psi(\,\cdot\,)} with multiple parameters.… read more here.
Keywords: solutions fractional; laplacian elliptic; weak solutions; positive weak ... See more keywords