Results 31 to 40 of about 3,448,082 (381)
On families of 9-congruent elliptic curves [PDF]
, 2015 We compute equations for the families of elliptic curves 9-congruent to a given elliptic curve. We use these to find infinitely many non-trivial pairs of 9-congruent elliptic curves over Q, i.e.
Fisher, Tom
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Elliptic Gaudin models and elliptic KZ equations [PDF]
Nuclear Physics B, 2002 The Gaudin models based on the face-type elliptic quantum groups and the $XYZ$ Gaudin models are studied. The Gaudin model Hamiltonians are constructed and are diagonalized by using the algebraic Bethe ansatz method. The corresponding face-type Knizhnik-Zamolodchikov equations and their solutions are given.
Yao-Zhong Zhang +3 more
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Supercritical Elliptic Equations [PDF]
Advanced Nonlinear Studies, 2012 Abstract For an elliptic model equation with supercritical power non-linearity we give a complete description of radial solutions and discuss self-similar blow-up solutions.
Rupflin, M, Struwe, M
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Journal of Applied Mathematics, 2013 We use the improved general mapping deformation method based on the generalized Jacobi elliptic functions expansion method to construct some of the generalized Jacobi elliptic solutions for some nonlinear partial differential equations in mathematical ...
Khaled A. Gepreel
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Positive Solutions for Perturbed Fractional p-Laplacian Problems
Fractal and Fractional, 2022 In this article, we consider a class of quasilinear elliptic equations involving the fractional p-Laplacian, in which the nonlinear term satisfies subcritical or critical growth.
Mengfei Tao, Binlin Zhang
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Nonlocal elliptic equations in bounded domains: a survey [PDF]
, 2015 In this paper we survey some results on the Dirichlet problem ( Lu = f in u = g in R n n for nonlocal operators of the form Lu(x) = PV Z Rn u(x) u(x + y) K(y)dy: We start from the very basics, proving existence of solutions, maximum principles, and ...
Xavier Ros-Oton
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Existence of positive weak solutions for a class of singular elliptic equations
Electronic Journal of Qualitative Theory of Differential Equations, 2011 In this note, we are concerned with positive solutions for a class of singular elliptic equations. Under some conditions, we obtain weak solutions for the equations by elliptic regularization method and sub-super solution method.
Li Xia, Jingna Li, Zheng'an Yao
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Risks, 2020 In insurance mathematics, optimal control problems over an infinite time horizon arise when computing risk measures. An example of such a risk measure is the expected discounted future dividend payments.
Stefan Kremsner +2 more
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Entropy and elliptic equations [PDF]
Quarterly of Applied Mathematics, 1993 The author studies steady-state solutions of the heat equation in a domain \(\Omega \subset \mathbb{R}^3\), that is, solutions of the equation \(- \Delta u = f(x)\) in \(\Omega\). He derives an integral identity for solutions of the form \(\int_{\partial P} {- \nu \cdot \text{grad} u \over u} ds = F + G\), where \(P \subset \Omega\) and \(F\) and \(G\)
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Jacobi Elliptic Solutions for Nonlinear Differential Difference Equations in Mathematical Physics
Journal of Applied Mathematics, 2012 We put a direct new method to construct the rational Jacobi elliptic solutions for nonlinear differential difference equations which may be called the rational Jacobi elliptic functions method.
Khaled A. Gepreel, A. R. Shehata
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