Results 21 to 30 of about 3,448,082 (381)
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
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Differential transcendence criteria for second-order linear difference equations and elliptic hypergeometric functions [PDF]
, 2019 We develop general criteria that ensure that any non-zero solution of a given second-order difference equation is differentially transcendental, which apply uniformly in particular cases of interest, such as shift difference equations, q-dilation ...
Arreche, Carlos E. +2 more
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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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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
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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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A primal-dual weak Galerkin finite element method for second order elliptic equations in non-divergence form [PDF]
Mathematics of Computation, 2015 This article proposes a new numerical algorithm for second order elliptic equations in non-divergence form. The new method is based on a discrete weak Hessian operator locally constructed by following the weak Galerkin strategy. The numerical solution is
Chunmei Wang, Junping Wang
semanticscholar +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
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Some remarks on the Lp regularity of second derivatives of solutions to non-divergence elliptic equations and the Dini condition [PDF]
, 2016 In this note we prove an end-point regularity result on the Lp integrability of the second derivatives of solutions to non-divergence form uniformly elliptic equations whose second derivatives are a priori only known to be integrable. The main assumption
Escauriaza, Luis, Montaner, Santiago
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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
openaire +4 more sources
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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