Results 31 to 40 of about 77,874 (311)
A priori bounds for positive radial solutions of quasilinear equations of Lane–Emden type [PDF]
, 2023 summary:We consider the quasilinear equation $\Delta _p u +K(|x|)u^q=0$, and present the proof of the local existence of positive radial solutions near $0$ under suitable conditions on $K$.
Bae, Soohyun
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Genetic programming approaches for solving elliptic partial differential equations [PDF]
, 2008 In this paper, we propose a technique based on genetic programming (GP) for meshfree solution of elliptic partial differential equations. We employ the least-squares collocation principle to define an appropriate objective function, which is optimized ...
Sobester, A. +5 more
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On radial solutions for Monge–Ampère equations
TURKISH JOURNAL OF MATHEMATICS, 2018 Summary: In this paper, we obtain some new existence, uniqueness, and multiplicity results of radial solutions of an elliptic system coupled by Monge-Ampère equations using the fixed point theorem.
Ronghua LIU, Fanglei WANG, Yukun AN
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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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Nonlinear Radial Consolidation Analysis of Soft Soil with Vertical Drains under Cyclic Loadings
Shock and Vibration, 2020 This paper presents analytical solutions for nonlinear radial consolidation of soft soil with vertical drains under various cyclic loadings. By considering the nonlinear variations of compressibility and permeability expressed by the logarithm relations (
Pyol Kim +6 more
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Oscillatory radial solutions for subcritical biharmonic equations [PDF]
, 2009 It is well known that the biharmonic equation ∆^2 u = u|u|^(p-1) with p ∈ (1,∞) has positive solutions on R^n if and only if the growth of the nonlinearity is critical or supercritical.
SCHMIDT P. G. +5 more
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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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New Results on the Radial Solutions to a Class of Nonlinear k-Hessian System
Journal of Mathematics, 2022 This paper investigates the positive radial solutions of a nonlinear k-Hessian system. ΛSk1/kλD2z1Sk1/kλD2z1=bxφz1,z2, x∈ℝNΛSk1/kλD2z2Sk1/kλD2z2=hxψz1,z2, x∈ℝN, where Λ is a nonlinear operator and b, h, φ, ψ are continuous functions.
Guotao Wang, Zhuobin Zhang
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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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