Results 31 to 40 of about 3,501,569 (379)
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
doaj +1 more source
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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Eigencurves for linear elliptic equations [PDF]
ESAIM: Control, Optimisation and Calculus of Variations, 2019 This paper provides results forvariational eigencurvesassociated with self-adjoint linear elliptic boundary value problems. The elliptic problems are treated as a general two-parameter eigenproblem for a triple (a,b,m) of continuous symmetric bilinear forms on a real separable Hilbert spaceV.Geometric characterizationsof eigencurves associated with (a ...
Mauricio A. Rivas, Stephen B. Robinson
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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
semanticscholar +1 more source
Quasilinear elliptic equations with natural growth and quasilinear elliptic equations with singular drift [PDF]
Nonlinear Anal. 185 (2019), 206-215, 2018 We prove an existence result for a quasilinear elliptic equation satisfying natural growth conditions. As a consequence, we deduce an existence result for a quasilinear elliptic equation containing a singular drift. A key tool, in the proof, is the study of an auxiliary variational inequality playing the role of "natural constraint"
arxiv +1 more source
On elliptic solutions of the associative Yang-Baxter equation [PDF]
, 2021 We give a direct proof of the fact that elliptic solutions of the associative Yang-Baxter equation arise from appropriate spherical orders on an elliptic curve.
arxiv +1 more source
Mathieu Equation and Elliptic Curve [PDF]
Communications in Theoretical Physics, 2012 12 pages; minor improvement of the Conclusion section, references ...
Wei He, Yan-Gang Miao
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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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Nonuniformly elliptic Schauder theory [PDF]
arXiv, 2022 Local Schauder estimates hold in the nonuniformly elliptic setting. Specifically, first derivatives of solutions to nonuniformly elliptic variational problems and elliptic equations are locally H\"older continuous, provided coefficients are locally H\"older continuous.
arxiv
Solving Elliptic Diophantine Equations Avoiding Thue Equations and Elliptic Logarithms [PDF]
Experimental Mathematics, 1998 We determine the solutions in integers of the equation y2 = (x + p)(x2 + p2) for p = 167, 223, 337, 1201. The method used was suggested to us by Yu. Bilu, and is shown to be in some cases more efficient than other general purpose methods for solving such equations, namely the elliptic logarithms method and the use of Thue equations.
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