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Optical closed form soliton structures for the Kuralay-II equation in nonlinear optical complex media. [PDF]
Arshad A +5 more
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Global Results for Weakly Dispersive KP-II Equations on the Cylinder. [PDF]
Herr S, Schippa R, Tzvetkov N.
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Stability analysis of forced nonlinear wave systems in optical and fluid media. [PDF]
Riaz MB, Tariq MM, Rehman MAU, Kazmi SS.
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On Some Elliptic Equations with Nonlocal Nonlinear Terms(Solutions for Nonlinear Elliptic Equations)
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On a singular nonlinear elliptic equation
Nonlinear Analysis: Theory, Methods & Applications, 1997The author studies the existence of positive solutions \(u\in C^2(B_R)\cap C^1(\overline B_R)\) of the following singular Dirichlet problem: \[ u^\alpha(\Delta u+u)- u/\alpha= 0,\quad x\in B_R,\quad u(x)=0,\quad x\in \partial B_R.
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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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ON DEGENERATE NONLINEAR ELLIPTIC EQUATIONS. II
Mathematics of the USSR-Sbornik, 1984zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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