Results 11 to 20 of about 3,448,082 (381)
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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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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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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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
core +2 more sources
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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Unique Continuation for Fractional Orders of Elliptic Equations [PDF]
, 2016 We establish the strong unique continuation property of fractional orders of linear elliptic equations with Lipschitz coefficients by establishing almost monotonicity for an Almgren-type frequency functional via an extension procedure.
Hui Yu
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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
doaj +1 more source
On a Singular Elliptic Equation [PDF]
Proceedings of the American Mathematical Society, 1983 In this paper, we study the singular elliptic equation L u + K ( x ) u p = 0 Lu + K(x){u^p} = 0 , where L L is a uniformly elliptic operator of divergence form, p > 1 ...
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Fully non-linear elliptic equations on compact Hermitian manifolds [PDF]
Journal of differential geometry, 2015 We derive a priori estimates for solutions of a general class of fully non-linear equations on compact Hermitian manifolds. Our method is based on ideas that have been used for different specific equations, such as the complex Monge-Ampere, Hessian and ...
Gábor Székelyhidi
semanticscholar +1 more source
Elliptic scattering equations [PDF]
Journal of High Energy Physics, 2016 في الآونة الأخيرة، تم توسيع نهج CHY إلى مستوى حلقة واحدة باستخدام الوظائف الإهليلجية والأشكال المعيارية على صنف جاكوبي. نظرًا لصعوبة التلاعب بهذا النوع من الوظائف، نقترح وصفة طبية بديلة جبرية تمامًا. يعتمد هذا الاقتراح الجديد على منحنى جبري إهليلجي مضمن في مساحة $\mathbb{C}P^2 $.
Carlos A. Cardona, Humberto Gomez
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