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Elliptic Hypergeometric Solutions to Elliptic Difference Equations [PDF]

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2009
It is shown how to define difference equations on particular lattices {x_n}, n in Z, made of values of an elliptic function at a sequence of arguments in arithmetic progression (elliptic lattice). Solutions to special difference equations have remarkable
Alphonse P. Magnus
doaj   +5 more sources

Degenerate elliptic equations [PDF]

open access: bronzePacific Journal of Mathematics, 1964
R. M. Redheffer, E. G. Straus
openalex   +3 more sources

The Existence of Entropy Solutions for an Elliptic Problems Involving Variable Exponent

open access: yesJournal of Harbin University of Science and Technology, 2022
In order to study the entropy solution of a class of quasilinear elliptic equations with variable exponents, first, the approximation problem of elliptic equations is established under weak operator conditions, and then the Sobolev embedding theorem ...
LU Yue-ming, LIU Yang
doaj   +1 more source

An elliptic equation with history [PDF]

open access: yesComptes Rendus. Mathématique, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
AMAR, Micol   +3 more
openaire   +3 more sources

EQUIVALENCE OF THE FREDHOLM SOLVABILITY CONDITION FOR THE NEUMANN PROBLEM TO THE COMPLEMENTARITY CONDITION

open access: yesВестник КазНУ. Серия математика, механика, информатика, 2021
The methods of complex analysis constitute the classical direction in the study of elliptic equations and mixed-type equations on the plane and fundamental results have now been obtained. In the early 60s of the last century, a new theoretical-functional
B. D. Koshanov, A. D. Kuntuarova
doaj   +1 more source

Elliptic blowup equations for 6d SCFTs. Part IV. Matters

open access: yesJournal of High Energy Physics, 2021
Given the recent geometrical classification of 6d (1, 0) SCFTs, a major question is how to compute for this large class their elliptic genera. The latter encode the refined BPS spectrum of the SCFTs, which determines geometric invariants of the ...
Jie Gu   +4 more
doaj   +1 more source

Differential-Difference Elliptic Equations with Nonlocal Potentials in Half-Spaces

open access: yesMathematics, 2023
We investigate the half-space Dirichlet problem with summable boundary-value functions for an elliptic equation with an arbitrary amount of potentials undergoing translations in arbitrary directions.
Andrey B. Muravnik
doaj   +1 more source

Unique Continuation for Elliptic Equations [PDF]

open access: bronzeTransactions of the American Mathematical Society, 1960
M. H. Protter
openalex   +3 more sources

Reduced-order modeling using the frequency-domain method for parabolic partial differential equations

open access: yesAIMS Mathematics, 2023
This paper suggests reduced-order modeling using the Galerkin proper orthogonal decomposition (POD) to find approximate solutions for parabolic partial differential equations.
Jeong-Kweon Seo, Byeong-Chun Shin
doaj   +1 more source

Elliptic equations and BMO-functions

open access: yesLe Matematiche, 1999
See directly the ...
Carlo Sbordone
doaj   +3 more sources

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