Results 21 to 30 of about 220,140 (287)
Elliptic equations and Gaussian processes [PDF]
Journal of Functional Analysis, 1980 AbstractWe consider a Gaussian process P on s(Rd) generated by a polynomial in the Laplace operator. We prove some support properties for P. As a byproduct we strenghten earlier results on the stochastic Dirichlet problem on bounded regions Λ ⊂ Rd. We describe in this way the conditional P-distribution of the restriction to Λ of s(Rd), supposing ϑ is ...
G. Benfatto +2 more
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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
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A supercritical elliptic equation in the annulus
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2022 By a combination of variational and topological techniques in the presence of invariant cones, we detect a new type of positive axially symmetric solutions of the Dirichlet problem for the elliptic equation -\Delta u + u = a(x)|u|^{p-2}u in an annulus
Alberto Boscaggin +3 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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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
core +1 more source
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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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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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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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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