Results 31 to 40 of about 77,616 (312)
Local solutions of the optimal power flow problem [PDF]
, 2013 The existence of locally optimal solutions to the AC optimal power flow problem (OPF) has been a question of interest for decades. This paper presents examples of local optima on a variety of test networks including modified versions of common networks ...
Waqquas A. Bukhsh +14 more
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Radial solutions for a Dirichlet problem in a ball
Journal of Differential Equations, 1985 Let \(\Omega \subset {\mathbb{R}}^ N\) be a bounded smooth domain. Let \(\lambda_ 1\) be the first eigenvalue of -\(\Delta\) on \(H^ 1_ 0(\Omega)\) and let \(\Phi_ 1>0\) be a corresponding eigenfunction. The Ambrosetti-Prodi problem \[ (1)\quad -\Delta u=f(x,u)+h(x)+t\Phi_ 1(x)\quad in\quad \Omega,\quad u=0\quad on\quad \partial \Omega, \] where \(t\in
Costa, D.G, de Figueiredo, D.G
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Classification of radial solutions to −Δgu = eu on Riemannian models [PDF]
, 2023 We provide a complete classification with respect to asymptotic behaviour, stability and intersections properties of radial smooth solutions to the equation -Agu = eu on Riemannian model manifolds (M, g) in dimension N > 2.
Ganguly D. +3 more
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Rapid evaluation of radial basis functions
, 2005 Over the past decade, the radial basis function method has been shown to produce high quality solutions to the multivariate scattered data interpolation problem.
Baxter, Brad J.C. +3 more
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Radial solutions of the elliptic Liouville equation
Results in Physics, 2021 In this paper, we derive new closed-form radial solutions for the following elliptic Liouville equation △ϕ+φ(x)eϕ=0inΩ⊂Rn,and its generalized equation △ϕ+φ(x)eϕ=f(x)inΩ⊂Rn,where △ is the Laplace operator, φ and f are smooth positive functions.
Lazhar Bougoffa, Ammar Khanfer
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Radial solutions of Lane-Emden-Fowler equations with Pucci's extremal operators
Bruno Pini Mathematical Analysis Seminar, 2019 We report on some recent results obtained for positive radial solutions of Lane-Emden-Fowler type equations with Pucci's operators as principal parts.
Fabiana Leoni
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Advances in Nonlinear Analysis, 2020 In this paper, the equations and systems of Monge-Ampère with parameters are considered. We first show the uniqueness of of nontrivial radial convex solution of Monge-Ampère equations by using sharp estimates.
Feng Meiqiang
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Radial functions and maximal estimates for radial solutions to the Schrodinger equation
Tsukuba Journal of Mathematics, 1998 The author establishes the following estimate for radial functions \(f\): If \(2\leq q\leq 8/3\), \(\alpha= q(2n-1)/4-n\), then \[ \Biggl(\int_{\mathbb{R}^n}| S^*f(x)|^q| x|^\alpha dx\Biggr)^{1/q}\leq C\| f\|_{H_{1/4}}, \] where the maximal functions \(S^*f\) is defined by \[ S^*f(x)= \sup_ ...
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Classification of radial solutions to Liouville systems with singularities
Discrete and Continuous Dynamical Systems, 2014 25 ...
Lin, Chang-Shou, Zhang, Lei
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Radial solutions of a biharmonic equation with vanishing or singular radial potentials [PDF]
Nonlinear Analysis, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Marino Badiale +2 more
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