Results 11 to 20 of about 211,517 (279)
Blowup equations for 6d SCFTs. Part I
Journal of High Energy Physics, 2019 We propose novel functional equations for the BPS partition functions of 6d (1, 0) SCFTs, which can be regarded as an elliptic version of Göttsche-Nakajima-Yoshioka’s K-theoretic blowup equations.
Jie Gu +3 more
doaj +1 more source
Local minimizers in spaces of symmetric functions and applications [PDF]
, 2014 We study $H^1$ versus $C^1$ local minimizers for functionals defined on spaces of symmetric functions, namely functions that are invariant by the action of some subgroups of $\mathcal{O}(N)$.
Dos Santos +3 more
core +1 more source
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.
openaire +3 more sources
Cotton-Type and Joint Invariants for Linear Elliptic Systems
The Scientific World Journal, 2013 Cotton-type invariants for a subclass of a system of two linear elliptic equations, obtainable from a complex base linear elliptic equation, are derived both by spliting of the corresponding complex Cotton invariants of the base complex equation and from
A. Aslam, F. M. Mahomed
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Discontinuous hp-Finite Element Methods for Advection-Diffusion Problems [PDF]
, 2000 We consider the hp-version of the discontinuous Galerkin finite element method for second-order partial differential equations with nonnegative characteristic form.
Houston, P. +2 more
core +1 more source
Elliptic blowup equations for 6d SCFTs. Part III. E-strings, M-strings and chains
Journal of High Energy Physics, 2020 We establish the elliptic blowup equations for E-strings and M-strings and solve elliptic genera and refined BPS invariants from them. Such elliptic blowup equations can be derived from a path integral interpretation.
Jie Gu +4 more
doaj +1 more source
Boundary singularities of positive solutions of some nonlinear elliptic equations [PDF]
, 2007 We study the behaviour near a boundary point a of any positive solution of a nonlinear elliptic equations with forcing term which vanishes on the boundary except at a.
Bidaut-Veron, Marie-Francoise +2 more
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Potentials for the singular elliptic equations and their application
Results in Applied Mathematics, 2020 Potential theory has played a paramount role in both analysis and computation for boundary value problems for elliptic equations. In the middle of the last century, a potential theory was constructed for a two-dimensional elliptic equation with one ...
T.G. Ergashev
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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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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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