Results 1 to 10 of about 3,501,470 (284)
Elliptic Hypergeometric Solutions to Elliptic Difference Equations [PDF]
Symmetry, 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
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Degenerate elliptic equations [PDF]
Pacific Journal of Mathematics, 1964 R. M. Redheffer, E. G. Straus
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An elliptic equation with history [PDF]
Comptes Rendus. Mathématique, 2004 Abstract We prove the existence and uniqueness for a semilinear elliptic problem with memory, both in the weak and the classical setting. This problem describes the effective behaviour of a biological tissue under the injection of an electrical current in the radiofrequency range. To cite this article: M. Amar et al., C. R. Acad. Sci. Paris, Ser. I
AMAR, Micol +3 more
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Elliptic blowup equations for 6d SCFTs. Part IV. Matters
Journal 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
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Вестник 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
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A remark on partial data inverse problems for semilinear elliptic equations [PDF]
Proceedings of the American Mathematical Society, 2019 We show that the knowledge of the Dirichlet-to-Neumann map on an arbitrary open portion of the boundary of a domain in $\mathbb{R}^n$, $n\ge 2$, for a class of semilinear elliptic equations, determines the nonlinearity uniquely.
Katya Krupchyk, G. Uhlmann
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Differential-Difference Elliptic Equations with Nonlocal Potentials in Half-Spaces
Mathematics, 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
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Multiplicity results for $(p,q)$ fractional elliptic equations involving critical nonlinearities [PDF]
Advances in Differential Equations, 2018 In this paper we prove the existence of infinitely many nontrivial solutions for the class of $(p,\, q)$ fractional elliptic equations involving concave-critical nonlinearities in bounded domains in $\mathbb{R}^N$.
M. Bhakta, Debangana Mukherjee
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Elliptic Equations with Degenerate Weights
SIAM Journal on Mathematical Analysis, 2022 We obtain new local Calderon-Zygmund estimates for elliptic equations with matrix-valued weights for linear as well as non-linear equations. We introduce a novel log-BMO condition on the weight M. In particular, we assume smallness of the logarithm of the matrix-valued weight in BMO. This allows to include degenerate, discontinuous weights.
Khripunova Balci, Anna +3 more
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Regularity for Fully Nonlinear Elliptic Equations with Oblique Boundary Conditions [PDF]
Archive for Rational Mechanics and Analysis, 2017 In this paper, we obtain a series of regularity results for viscosity solutions of fully nonlinear elliptic equations with oblique derivative boundary conditions. In particular, we derive the pointwise Cα, C1,α and C2,α regularity. As byproducts, we also
Dongsheng Li, Kai Zhang
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