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
Existence of weak positive solution for a singular elliptic problem with supercritical nonlinearity
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DOI: 10.1007/s13324-016-0162-4
Abstract: In this paper we consider the existence of weak positive solutions for an elliptic problems with the nonlinearity containing both singular and supercritical terms. By means of a priori estimate and sub-and supersolutions method, a… read more here.
Keywords: solution singular; positive solution; weak positive; existence weak ... See more keywords
Newton’s method for the positive solution of the coupled algebraic Riccati equation applied to automatic control
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DOI: 10.1007/s40314-020-01143-5
Abstract: In this paper, we discuss the existence of the positive solution for the coupled algebraic Riccati equation which is usually encountered in control theory. When this equation has a positive solution, Newton’s method is presented… read more here.
Keywords: coupled algebraic; solution coupled; algebraic riccati; positive solution ... See more keywords
Large singular solutions for conformal Q-curvature equations on Sn
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DOI: 10.1016/j.jde.2021.01.027
Abstract: Abstract In this paper, we study the existence of positive functions K ∈ C 1 ( S n ) such that the conformal Q-curvature equation (1) P m ( v ) = K v n… read more here.
Keywords: conformal curvature; singular positive; curvature; solution whose ... See more keywords
Douglas' + Sebestyén's lemmas = a tool for solving an operator equation problem
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2019.123599
Abstract: Abstract The existence of a positive solution of the equation A X B = C was considered in different settings but only under additional conditions including that of regularity, as well as under certain range… read more here.
Keywords: positive solution; lemmas tool; operator equation; sebesty lemmas ... See more keywords
Existence and persistence of positive solution for a stochastic turbidostat model
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DOI: 10.1186/s13662-017-1448-z
Abstract: A novel stochastic turbidostat model is investigated in this paper. The stochasticity in the model comes from the maximal growth rate influenced by white noise. Firstly, the existence and uniqueness of the positive solution for… read more here.
Keywords: positive solution; stochastic turbidostat; model; persistence ... See more keywords
Positive solution for nonlinear fractional differential equation with nonlocal multi-point condition
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DOI: 10.24193/fpt-ro.2020.2.30
Abstract: In this paper, we study and consider the positive solution of fractional differential equation with nonlocal multi-point conditions of the from: RLD q 0+ u(t) + g(t)f(t, u(t)) = 0, t ∈ (0, 1) u(0)… read more here.
Keywords: differential equation; equation nonlocal; positive solution; point ... See more keywords
Existence results of positive solutions for Kirchhoff type biharmonic equationvia bifurcation methods
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DOI: 10.3906/mat-2001-50
Abstract: This paper is concerned with the existence of positive solutions for the fourth order Kirchhoff type problem { ∆u− (a+ b ∫ Ω |∇u|dx)△u = λf(u(x)), in Ω, u = △u = 0, on ∂Ω,… read more here.
Keywords: positive solution; positive solutions; existence results; bifurcation ... See more keywords
On positive solution to a second order elliptic equation with a singular nonlinearity
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DOI: 10.3934/cpaa.2010.9.1335
Abstract: We consider a second order elliptic equation with measurable bounded coefficients $ (a_{ij}(x)u_{x_i})_{x_j}+p(x)|x|^su^{-\sigma}=0, x\in\Omega \setminus \{ O\}, $ where $\sigma >0$, $s$ is any real number, and $\Omega\subset R^n$, $n\ge 3$ is a bounded domain,… read more here.
Keywords: elliptic equation; positive solution; order elliptic; second order ... See more keywords
Existence, nonexistence and uniqueness of positive solutions for nonlinear eigenvalue problems
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DOI: 10.3934/cpaa.2017057
Abstract: We study the existence of positive solutions for perturbations of the classical eigenvalue problem for the Dirichlet $p-$Laplacian. We consider three cases. In the first the perturbation is $(p-1)-$sublinear near $+\infty$, while in the second… read more here.
Keywords: nonexistence uniqueness; existence; positive solution; positive solutions ... See more keywords