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A multiscale theory for network advection- reaction-diffusion. [PDF]
Oliveri H, Cozzolino E, Goriely A.
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Sub pico-second pulses in mono-mode optical fibers with Triki-Biswas model. [PDF]
Hussain A +5 more
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On Some Elliptic Equations with Nonlocal Nonlinear Terms(Solutions for Nonlinear Elliptic Equations)
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Nonlinear elliptic equations with singular nonlinearities
Asymptotic Analysis, 2013In this paper we study nonlinear elliptic boundary value problems with singular nonlinearities whose simplest example is −div (|∇u|p−2∇u)=f/uγ in Ω, u=0 on ∂Ω, where Ω is a bounded open set in RN (N≥2), γ>0 ...
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Nonlinear Singular Elliptic Equations
Journal of the London Mathematical Society, 1989Let F be a dense vector subspace of a Banach space E, and f be a functional defined on F, in which f is not expected to have any critical point. We extend the variational theory to seek generalized critical points of f in E (not in F). Using these results we find solutions in \(W_ 0^{1,2}(\Omega)\) of the following equation \[ (P)\quad -\Delta u+c=Ke ...
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ON DEGENERATE NONLINEAR ELLIPTIC EQUATIONS
Mathematics of the USSR-Sbornik, 1984Translation from Mat. Sb. Nov. Ser. 120(162), No.3, 311-330 (Russian) (1983; Zbl 0525.35038).
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An elliptic equation with concave and convex nonlinearities
Nonlinear Analysis: Theory, Methods & Applications, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liu, Shibo, Li, Shujie
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Solvability of an Elliptic Equation with a Gradient Nonlinearity
Differential Equations, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On a Nonlinear Elliptic Equation with Periodic Coefficients
SIAM Journal on Applied Mathematics, 1981Homogenization is applied to a mildly nonlinear equation which arises in chemical kinetics. The method of multiple scales is used to get the homogenized equation, and the convergence is proved using the energy method.
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