Results 41 to 50 of about 2,162,787 (303)

Elliptic Equations with Weight and Combined Nonlinearities

open access: yesAdvanced Nonlinear Studies, 2016
Abstract We consider the equation -
Furtado, Marcelo F.   +2 more
openaire   +2 more sources

Application of decomposition to hyperbolic, parabolic, and elliptic partial differential equations

open access: yesInternational 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
doaj   +1 more source

Nonlinear Elliptic Equations with Singular Terms and Combined Nonlinearities [PDF]

open access: yesAnnales 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
openaire   +3 more sources

On the solvability of some nonlinear systems of elliptic equations

open access: yes, 2001
We study the solvability and the existence of multiple solutions of nonlinear systems of elliptic ...
PICCIRILLO, Anna Maria   +5 more
core   +1 more source

F-Expansion Method and New Exact Solutions of the Schrödinger-KdV Equation

open access: yesThe 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
doaj   +1 more source

The Approximate Solution of the Nonlinear Exact Equation of Deflection of an Elastic Beam with the Galerkin Method

open access: yesApplied 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
doaj   +1 more source

Nonlinear elliptic problems with the method of finite volumes

open access: yesDifferential 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
doaj   +1 more source

Quasilinear Elliptic Equations with Singular Nonlinearity

open access: yesAdvanced Nonlinear Studies, 2016
Abstract In this paper, motivated by recent works on the study of the equations which model electrostatic MEMS devices, we study the quasilinear elliptic equation (Pλ) {
João Marcos do Ó, Esteban da Silva
openaire   +2 more sources

Radially Symmetric Solutions of a Nonlinear Elliptic Equation [PDF]

open access: yesInternational 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
openaire   +3 more sources

A comprehensive review on the existence of normalized solutions for four classes of nonlinear elliptic equations [PDF]

open access: yesOpuscula Mathematica
This paper provides a comprehensive review of recent results concerning the existence of normalized solutions for four classes of nonlinear elliptic equations: Schrödinger equations, Schrödinger-Poisson equations, Kirchhoff equations, and Choquard ...
Sitong Chen, Xianhua Tang
doaj   +1 more source

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