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 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 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
Existence of Positive Solutions to Singular Boundary Value Problems Involving φ-Laplacian
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DOI: 10.3390/math7070654
Abstract: This paper is concerned with the existence of positive solutions to singular Dirichlet boundary value problems involving φ -Laplacian. For non-negative nonlinearity f = f ( t , s ) satisfying f ( t ,… read more here.
Keywords: problems involving; positive solutions; boundary value; existence positive ... See more keywords
Existence of Positive Solutions and Its Asymptotic Behavior of (p(x), q(x))-Laplacian Parabolic System
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DOI: 10.3390/sym11030332
Abstract: This paper deals with the existence of positively solution and its asymptotic behavior for parabolic system of ( p ( x ) , q ( x ) ) -Laplacian system of partial differential equations using… read more here.
Keywords: asymptotic behavior; existence positive; parabolic system; system ... See more keywords
Existence of positive solutions to a discrete fractional boundary value problem and corresponding Lyapunov-type inequalities
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DOI: 10.7494/opmath.2018.38.1.31
Abstract: We prove existence of positive solutions to a boundary value problem depending on discrete fractional operators. Then, corresponding discrete fractional Lyapunov-type inequalities are obtained. read more here.
Keywords: lyapunov type; positive solutions; discrete fractional; existence positive ... See more keywords