Results 21 to 30 of about 8,945 (319)
Nonlinear Elliptic Equations with Singular Terms and Combined Nonlinearities [PDF]
Annales Henri Poincaré, 2011 From the abstract: ``We consider nonlinear elliptic Dirichlet problems with a singular term, a concave (i.e., \((p-1)\)-sublinear) term and a Carathéodory perturbation. We study the cases where the Carathéodory perturbation is \((p-1)\)-linear and \((p-1)\)-superlinear near \(+\infty\).
Gasiński, Leszek +1 more
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Application of decomposition to hyperbolic, parabolic, and elliptic partial differential equations
International Journal of Mathematics and Mathematical Sciences, 1989 The decomposition method is applied to examples of hyperbolic, parabolic, and elliptic partial differential equations without use of linearizatlon techniques.
G. Adomian
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Elliptic Equations with Weight and Combined Nonlinearities
Advanced Nonlinear Studies, 2016 Abstract We consider the equation -
Furtado, Marcelo F. +2 more
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Radially Symmetric Solutions of a Nonlinear Elliptic Equation [PDF]
International Journal of Mathematics and Mathematical Sciences, 2011 We investigate the existence and asymptotic behavior of positive, radially symmetric singular solutions of w′′ + ((N − 1)/r)w′−|w|p−1w = 0, r > 0. We focus on the parameter regime N > 2 and 1 < p < N/(N − 2) where the equation has the closed form, positive singular solution w1 = (4 − 2(N − 2)(p − 1)/(p − 1) 2) 1/(p−1)r−2/(p−1), r > 0 ...
Edward P. Krisner, William C. Troy
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Compact and stable discontinuous Galerkin methods for convection-diffusion problems [PDF]
, 2012 We present a new scheme, the compact discontinuous Galerkin 2 (CDG2) method, for solving nonlinear convection-diffusion problems together with a detailed comparison to other well-accepted DG methods.
Dedner, A. +3 more
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F-Expansion Method and New Exact Solutions of the Schrödinger-KdV Equation
The Scientific World Journal, 2014 F-expansion method is proposed to seek exact solutions of nonlinear evolution equations. With the aid of symbolic computation, we choose the Schrödinger-KdV equation with a source to illustrate the validity and advantages of the proposed method. A number
Ali Filiz +2 more
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Applied Sciences, 2022 Calculating the large deflection of a cantilever beam is one of the common problems in engineering. The differential equation of a beam under large deformation, or the typical elastica problem, is hard to approximate and solve with the known solutions ...
Chencheng Lian +3 more
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ALGORITHMS AND VISUALIZATION FOR SOLUTIONS OF NONLINEAR ELLIPTIC EQUATIONS [PDF]
International Journal of Bifurcation and Chaos, 2000 In this paper, we compute and visualize solutions of several major types of semilinear elliptic boundary value problems with a homogeneous Dirichlet boundary condition in 2D. We present the mountain–pass algorithm (MPA), the scaling iterative algorithm (SIA), the monotone iteration and the direct iteration algorithms (MIA and DIA). Semilinear elliptic
Goong Chen, Jianxin Zhou, Wei-Ming Ni
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, 2013 This is the post-print version of the Article. The official publised version can be accessed from the links below. Copyright @ 2013 Springer BaselEmploying the localized integral potentials associated with the Laplace operator, the Dirichlet, Neumann and
Mikhailov, SE +2 more
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Nonlinear elliptic problems with the method of finite volumes
Differential Equations and Nonlinear Mechanics, 2006 We present a finite volume discretization of the nonlinear elliptic problems. The discretization results in a nonlinear algebraic system of equations.
Sanjay Kumar Khattri
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