Results 1 to 10 of about 15,587,481 (320)
On Positive Solutions of the Heat Equation [PDF]
Nagoya Mathematical Journal, 1967 Consider the positive and twice continuously differentiable solutions u of the heat equationin an open t-strip Ω = Rn×(0,T) for some T>0, where Rn is the n-dimensional Euclidean space.In this note, we prove a theorem of Fatou type on u and, as its application, the uniqueness theorem for the Cauchy problem of ( 1 ).
Masasumi Kato
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Positive Solutions of Positive Linear Equations [PDF]
Proceedings of the American Mathematical Society, 1972 Let B B be a real vector lattice and a Banach space under a semimonotonic norm. Suppose T T is a linear operator on B B which is positive and eventually compact, y y is a positive vector, and λ \lambda is a positive real. It is shown that (
Paul D. Nelson
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Positive solutions of advanced differential systems. [PDF]
ScientificWorldJournal, 2013 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
Diblík J, Kúdelčíková M.
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Positive solutions for perturbations of the Robin eigenvalue problem plus an indefinite potential [PDF]
, 2019 We study perturbations of the eigenvalue problem for the negative Laplacian plus an indefinite and unbounded potential and Robin boundary condition. First we consider the case of a sublinear perturbation and then of a superlinear perturbation.
Papageorgiou, N. S. +2 more
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On the positive solutions of the Matukuma equation [PDF]
Duke Mathematical Journal, 1993 The author proves that for \(1< p0\). This completes the results obtained before by \textit{Y. Li} and \textit{W.-M. Ni} [Arch. Ration. Mech. Anal. 108, No. 2, 175-194 (1989; Zbl 0705.35039); ibid. 118, No. 3, 223-243 (1992; Zbl 0764.35014)].
Yi Li
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Positive solutions for nonvariational Robin problems
Asymptotic Analysis, 2018 We study a nonlinear Robin problem driven by the $p$-Laplacian and with a reaction term depending on the gradient (the convection term). Using the theory of nonlinear operators of monotone-type and the asymptotic analysis of a suitable perturbation of ...
Papageorgiou, Nikolaos S. +2 more
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Positive solutions of the heat equation [PDF]
Bulletin of the American Mathematical Society, 1963 D. V. Widder
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On Positive Solutions of Semilinear Elliptic Equations [PDF]
Proceedings of the American Mathematical Society, 1987 This paper is concerned with necessary conditions for the existence of positive solutions of the semilinear problem Δ u + f ( u ) = 0 , x ∈ Ω , u = 0 , x ∈ ∂ Ω \Delta u + f(u) = 0,x \in \Omega ,u = 0,x ...
E. N. Dancer, Klaus Schmitt
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Elliptic equations without positive solutions
Journal of Differential Equations, 1985 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Thomas T. Read
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Positive Solutions of Transport Equations and Classical Nonuniqueness of Characteristic curves [PDF]
Archive for Rational Mechanics and Analysis, 2020 The seminal work of DiPerna and Lions (Invent Math 98(3):511–547, 1989) guarantees the existence and uniqueness of regular Lagrangian flows for Sobolev vector fields.
Elia Brué +2 more
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