Results 31 to 40 of about 17,510,564 (391)
Classification of positive solutions of heat equation with supercritical absorption [PDF]
Let $q\geq 1+\frac{2}{N}$. We prove that any positive solution of (E) $\prt_t u-\xD u+u^q=0$ in $\mathbb{R}^N\times(0,\infty)$ admits an initial trace which is a nonnegative Borel measure, outer regular with respect to the fine topology associated to the
Gkikas, Konstantinos, Veron, Laurent
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On the maximum value of ground states for the scalar field equation with double power nonlinearity [PDF]
We evaluate the maximum value of the unique positive solution to semilinear elliptic equations with double power nonlinearities. It is known that a positive solution to this problem exists under some condition.Moreover, Ouyang and Shi in 1998 found that ...
Kawano, Shinji
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A Unique "Nonnegative" Solution to an Underdetermined System: from Vectors to Matrices [PDF]
This paper investigates the uniqueness of a nonnegative vector solution and the uniqueness of a positive semidefinite matrix solution to underdetermined linear systems.
Ao Tang+3 more
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In this article, we consider a study of a general class of nonlinear singular fractional DEs with p-Laplacian for the existence and uniqueness (EU) of a positive solution and the Hyers–Ulam (HU) stability. To proceed, we use classical fixed point theorem
H. Khan+4 more
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A note on the radial solutions for the supercritical Henon equation [PDF]
We prove the existence of a positive radial solution for the H\'enon equation with arbitrary growth. The solution is found by means of a shooting method and turns out to be an increasing function of the radial variable. Some numerical experiments suggest
Adimurthi+19 more
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Positive Solutions of Advanced Differential Systems [PDF]
We study asymptotic behavior of solutions of general advanced differential systems , where F : Ω → ℝn is a continuous quasi‐bounded functional which satisfies a local Lipschitz condition with respect to the second argument and Ω is a subset in , , yt∈, and yt(θ) = y(t + θ), θ ∈ [0, r]. A monotone iterative method is proposed to prove the existence of a
Mária Kúdelčíková, Josef Diblík
openaire +4 more sources
In this paper, we focus on the iterative scheme and error estimation of positive solutions for a class of p-Laplacian fractional order differential equation subject to Riemann-Stieltjes integral boundary condition.
Xinguang Zhang+4 more
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Positive Solution of Singular BVPs for System of Dynamic Equations on Time Scales [PDF]
This paper is devoted to derive some necessary and suficient conditions for the existence of positive solutions to a singular second order system of dynamic equations with Dirichlet boundary conditions.
Lago, Ariadna+2 more
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Existence of positive solution to Kirchhoff-Schrödinger-Poisson system with strong singular term
In this paper, we consider the existence of positive solution to the Kirchhoff-Schrodinger-Poisson system with strong singularity. By using the variational method, the necessary and sufficient condition for the existence of a solution is obtained.
Qi S. Zhang
semanticscholar +1 more source
Right focal boundary value problems for difference equations [PDF]
An application is made of a new Avery et al. fixed point theorem of compression and expansion functional type in the spirit of the original fixed point work of Leggett and Williams, to obtain positive solutions of the second order right focal discrete ...
Johnny Henderson+3 more
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