Dirichlet type problem for the system of elliptic equations, which order degenerate at a line
Dirichlet type problem in a bounded domain for the system of linear elliptic equations of second order, which degenerate into first order system at a line crossing the domain, is studied.
Stasys Rutkauskas
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A convection-diffusion elliptic system
We study a convection-diffusion elliptic system, with Dirichlet boundary conditions. In some cases, we will prove that we have more informations (with respect to the case of a single equation) about the summability of the solutions and of their gradients, thanks to the structure of our system.
BOCCARDO, Lucio, M. ESCOBEDO
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We prove a critical-point result which provides conditions for the existence of infinitely many critical points of a strongly indefinite functional with perturbed symmetries.
Monica Clapp +2 more
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Preconditioners for reduced saddle point systems arising in elliptic PDE-constrained optimization problems [PDF]
Yuping Zeng +3 more
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Existence of positive radial solutions of general quasilinear elliptic systems
Let Ω⊂Rn(n≥2)\Omega \subset {{\mathbb{R}}}^{n}\hspace{0.33em}\left(n\ge 2) be either an open ball BR{B}_{R} centred at the origin or the whole space. We study the existence of positive, radial solutions of quasilinear elliptic systems of the form Δpu=f1(∣
Devine Daniel
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Asymptotic behavior of type I blowup solutions to a parabolic-elliptic system of drift-diffusion type [PDF]
Yoshikazu Giga +2 more
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Existence of positive solutions for some nonlinear elliptic systems on the half space
We prove some existence of positive solutions to the semilinear elliptic system $$displaylines{ Delta u =lambda p(x)g(v)cr Delta v =mu q(x)f(u) }$$ in the half space ${mathbb{R}}^n_+$, $ngeq 2$, subject to some Dirichlet conditions, where $lambda$
Noureddine Zeddini
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Boundary regularity for elliptic systems under a natural growth\n condition [PDF]
Lisa Beck
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On higher Fitting ideals of Iwasawa modules of ideal class groups over imaginary quadratic fields and Euler systems of elliptic units [PDF]
Tatsuya Ohshita
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Elliptic Curve Cryptography with Machine Learning
Elliptic Curve Cryptography (ECC) is a technology based on the arithmetic of elliptic curves used to build strong and efficient cryptosystems and infrastructures. Several ECC systems, such as the Diffie–Hellman key exchange and the Elliptic Curve Digital
Jihane Jebrane +3 more
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