Results 11 to 20 of about 230,660 (338)
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
Boscaggin, Alberto +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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On the calculation of finite-gap solutions of the KdV equation [PDF]
, 1999 A simple and general approach for calculating the elliptic finite-gap solutions of the Korteweg-de Vries (KdV) equation is proposed. Our approach is based on the use of the finite-gap equations and the general representation of these solutions in the ...
Bateman H. +10 more
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Doubly Periodic Meromorphic Solutions of Autonomous Nonlinear Differential Equations
Моделирование и анализ информационных систем, 2014 The problem of constructing and classifying elliptic solutions of nonlinear differential equations is studied. An effective method enabling one to find an elliptic solution of an autonomous nonlinear ordinary differential equation is described.
M. V. Demina, N. A. Kudryashov
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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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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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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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Critical Sets of Elliptic Equations [PDF]
Communications on Pure and Applied Mathematics, 2014 Given a solution u to a linear, homogeneous, second‐order elliptic equation with Lipschitz coefficients, we introduce techniques for giving improved estimates of the critical set 𝒷(u)u {x :|δu|(x) = 0}, as well as the first estimates on the effective critical set 𝒷r(u), which roughly consists of points x such that the gradient of u is small somewhere ...
Cheeger J, Naber A, Valtorta D
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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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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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