Results 21 to 30 of about 103,768 (331)

Infinitely Many Elliptic Solutions to a Simple Equation and Applications

Abstract and Applied Analysis, 2013
Based on auxiliary equation method and Bäcklund transformations, we present an idea to find infinitely many Weierstrass and Jacobi elliptic function solutions to some nonlinear problems.
Long Wei, Yang Wang
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A "nonlinear duality" approach to $ W_0^{1, 1} $ solutions in elliptic systems related to the Keller-Segel model

Mathematics in Engineering, 2023
In this paper, we prove existence of distributional solutions of a nonlinear elliptic system, related to the Keller-Segel model. Our starting point is the boundedness theorem (for solutions of elliptic equations) proved by Guido Stampacchia and Neil ...
Lucio Boccardo
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Liouville properties and critical value of fully nonlinear elliptic operators [PDF]

, 2016
We prove some Liouville properties for sub- and supersolutions of fully nonlinear degenerate elliptic equations in the whole space. Our assumptions allow the coefficients of the first order terms to be large at infinity, provided they have an appropriate
Bardi, Martino, Cesaroni, Annalisa
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Some nonlinear elliptic equations from geometry [PDF]

Proceedings of the National Academy of Sciences, 2002
We describe some recent work on certain nonlinear elliptic equations from geometry. These include the problem of prescribing scalar curvature on 𝕊 n , the Yamabe problem on manifolds with boundary, and the best Sobolev inequality on Riemannian manifolds.
openaire   +2 more sources

Quasilinear Elliptic Equations with Singular Nonlinearity

Advanced 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
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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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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, Mehmet Ekici, Abdullah Sonmezoglu   +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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A comprehensive review on the existence of normalized solutions for four classes of nonlinear elliptic equations [PDF]

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

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, Ji Wang, Baochen Meng, Lihong Wang   +3 more
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