Results 71 to 80 of about 22,884,854 (275)
Positive solutions for semilinear elliptic systems with sign-changing potentials
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 In this paper, we study the existence of positive solutions of the Dirichlet problem -Δu = λ p(x)f(u; v) ; -Δv = λ q(x)g(u; v); in D, and u = v = 0 on ∂∞D, where D ⊂ Rn (n ≥ 3) is an C1,1-domain with compact boundary and λ > 0. The potential functions p;
Zeddini Noureddine, Ben Dkhil Adel
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Electronic Journal of Differential Equations, 2016 We study the existence of positive solutions to 3X3 bi-variate systems of reaction diffusion equations with Dirichlet boundary conditions. In particular, we consider systems where the reaction terms approach -infinity near the origin and satisfy some
Jinglong Ye, Jaffar Ali
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The Elliptic Gaudin System with Spin
Theoretical and Mathematical Physics, 2002 The elliptic Gaudin model was obtained as the Hitchin system on an elliptic curve with two fixed points. In the present paper the algebraic-geometrical structure of the system with two fixed points is clarified. We identify this system with poles dynamics of the finite gap solutions of Davey-Stewartson equation. The solutions of this system in terms of
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An Image Encryption Method Based on Elliptic Curve Elgamal Encryption and Chaotic Systems
IEEE Access, 2019 Due to the potential security problem about key management and distribution for the symmetric image encryption schemes, a novel asymmetric image encryption method is proposed in this paper, which is based on the elliptic curve ElGamal (EC-ElGamal ...
Yuling Luo +3 more
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A note on nonlinear elliptic systems involving measures
Electronic Journal of Differential Equations, 2000 We study the existence and regularity of solutions to nonlinear elliptic systems whose right-hand side is a measure-valued function. Using a sign condition instead of structure conditions, we obtain the same as those presented by Dolzmann, Hungerbuhler ...
Shulin Zhou
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What is the complexity of elliptic systems?
Journal of Approximation Theory, 1985 This paper deals with the optimal solution of the Petrovsky-elliptic system lu = f, where l is of homogeneous order t and f (x) ∈ H (Ω).Of particular interest is the strength of finite element information (FEI) of degree k, as well as the quality of the finite element method (FEM) using this information.
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Optimal boundary control for a time dependent thermistor problem
Electronic Journal of Differential Equations, 2009 An optimal control of a two dimensional time dependent thermistor problem is considered. The problem consists of two nonlinear partial differential equations coupled with appropriate boundary conditions which model the coupling of the thermistor to ...
Volodymyr Hrynkiv
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A global characteristic of g‐limit operators for quasilinear potential elliptic systems
Mathematical Modelling and Analysis, 2002 The paper considers a family of quasilinear potential elliptic systems and uses the fact that all G‐limit operators for this family can be characterized by means of gradients of convex functions F (locally with respect to the spatial co‐ordinates). It is
U. Raitums
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Coercive elliptic systems with gradient terms
Advances in Nonlinear Analysis, 2017 In this paper we give a classification of positive radial solutions of the following system:
Filippucci Roberta, Vinti Federico
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Existence results for a class of (p,q) Laplacian systems
Nonlinear Analysis, 2010 . We establish the existence of a nontrivial solution for inhomogeneous quasilinear elliptic systems: −∆pu = λ a(x) u |u|γ−2 + α (α + β)–1 b(x) u |u|α−2 |v|β + f in Ω, −∆qv = µ d(x) v |v|γ−2 + β (α + β)–1 b(x) |u|α v |v|β−2 + g in Ω, (u,v) ∈ W01,p ...
G. A. Afrouzi, M. Mirzapour
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