Results 11 to 20 of about 68,019 (304)
On some Schrödinger equations with non regular potential at infinity
Discrete and Continuous Dynamical Systems, 2010 In this paper we study the existence of solutions $u\in H^1(\R^N)$ for the problem $-\Delta u+a(x)u=|u|^{p-2}u$, where $N\ge 2$ and $p$ is superlinear and subcritical. The potential $a(x)\in L^\infty(\R^N)$ is such that $a(x)\ge c>0$ but is not assumed to have a limit at infinity. Considering different kinds of assumptions on the geometry of $a(x)$
CERAMI, Giovanna, Molle, R.
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Journal of Mathematics and Statistics StudiesThe concept of infinity refers to either an unending process or a limitless quantity. Aristotle introduced two types of infinity: potential infinity and actual infinity. Potential infinity refers to a never-ending process, and actual infinity refers to a collection containing infinitely many elements.
Ghulam Ali Sabery +2 more
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Ground State Solutions for Fractional Choquard Equations with Potential Vanishing at Infinity
Mathematics, 2019 In this paper, we study a class of nonlinear Choquard equation driven by the fractional Laplacian. When the potential function vanishes at infinity, we obtain the existence of a ground state solution for the fractional Choquard equation by using a non ...
Huxiao Luo, Shengjun Li, Chunji Li
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Electronic Journal of Differential Equations, 2017 This article concerns the Klein-Gordon-Maxwell type system when the nonlinearity has a quasicritical growth at infinity, involving zero mass potential, that is, $V(x)\to 0$, as $|x|\to\infty$.
Elson Leal de Moura +2 more
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Questions open to infinity and the legitimacy of wonder in university curricula [PDF]
, 2021 Drawing on the work of prominent atheists and theists, this article argues that any genuinely comprehensive vision of education should include space on the curriculum for subjects such as Theology.
Norman, R., Bowie, Robert A.
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Natural and formal infinities [PDF]
, 2001 Concepts of infinity usually arise by reflecting on finite experiences and imagining them extended to the infinite. This paper will refer to such personal conception as natural infinities.Research has shown that individuals' natural conceptions of ...
David Tall, Tall, David
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Representation of Friedmann equation solution in form of generalized Dirichlet series
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2013 The cosmological Friedmann equation for the Universe, filled by scalar field with the quadratic potential, is reduced to the system of two first-order equations, one having the separable variables.
È. A. Kuryanovich
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Journal of Inequalities and Applications, 2021 The purpose of this paper is to study the existence of sign-changing solution to the following fourth-order equation: 0.1 Δ 2 u − ( a + b ∫ R N | ∇ u | 2 d x ) Δ u + V ( x ) u = K ( x ) f ( u ) in R N , $$ \Delta ^{2}u- \biggl(a+ b \int _{\mathbb{R}^{N}}
Wen Guan, Hua-Bo Zhang
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Positive infinities of potentials [PDF]
Proceedings of the American Mathematical Society, 1951 Let R denote Euclidean 3-space. The following theorem is due to Evans [1, p. 421].1 Let E be a closed bounded set of capacity zero in R. There exists a distribution of positive mass ,(e) entirely on E, such that its potential V(M) = fR(1/MP) dy(P) is infinite at every point of E and at no other points.
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Polynomial Recurrence for SDEs with a Gradient-Type Drift, Revisited
Mathematics, 2023 In this paper, polynomial recurrence bounds for a class of stochastic differential equations with a rotational symmetric gradient type drift and an additive Wiener process are established, as well as certain a priori moment inequalities for solutions ...
Alexander Veretennikov
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