Results 21 to 30 of about 2,031,552 (294)

Sharp nonexistence results for a linear elliptic inequality involving Hardy and Leray potentials [PDF]

, 2011
We deal with nonnegative distributional supersolutions for a class of linear elliptic equations involving inverse-square potentials and logarithmic weights.
Roberta Musina, Fall, Mouhamed Moustapha, Musina Roberta, Fall MouhamedMoustapha, FALL MM, Musina, Roberta, Mouhamed Moustapha Fall, MouhamedMoustapha Fall, Fall, Mm   +8 more
core   +1 more source

The Modified Rational Jacobi Elliptic Functions Method for Nonlinear Differential Difference Equations

Journal of Applied Mathematics, 2012
We modified the rational Jacobi elliptic functions method to construct some new exact solutions for nonlinear differential difference equations in mathematical physics via the lattice equation, the discrete nonlinear Schrodinger equation with a saturable
Khaled A. Gepreel, Taher A. Nofal, Ali A. Al-Thobaiti   +2 more
doaj   +1 more source

The Simplest Equation Method and Its Application for Solving the Nonlinear NLSE, KGZ, GDS, DS, and GZ Equations

Journal of Applied Mathematics, 2013
A good idea of finding the exact solutions of the nonlinear evolution equations is introduced. The idea is that the exact solutions of the elliptic-like equations are derived using the simplest equation method and the modified simplest equation method ...
Yun-Mei Zhao, Ying-Hui He, Yao Long
doaj   +1 more source

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
doaj   +1 more source

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, Papageorgiou, Nikolaos S.   +1 more
openaire   +3 more sources

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
doaj   +1 more source

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
doaj   +1 more source

Elliptic Equations with Weight and Combined Nonlinearities

Advanced Nonlinear Studies, 2016
Abstract We consider the equation -
Furtado, Marcelo F., da Silva, João Pablo P., Souza, Bruno N.   +2 more
openaire   +2 more sources

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
doaj   +1 more source

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
doaj   +1 more source