Results 21 to 30 of about 516,813 (372)

Explicit solutions of some equations and systems of mathematical physics

Advances in Difference Equations, 2020
This paper deals at first with a fully integrable evolution system of nonlinear partial differential equations (PDEs) which is a generalization of the classical Heisenberg ferromagnet equation.
Angela Slavova, Petar Popivanov
doaj   +1 more source

Positive Solutions for Perturbed Fractional p-Laplacian Problems

Fractal and Fractional, 2022
In this article, we consider a class of quasilinear elliptic equations involving the fractional p-Laplacian, in which the nonlinear term satisfies subcritical or critical growth.
Mengfei Tao, Binlin Zhang
doaj   +1 more source

Improved General Mapping Deformation Method for Nonlinear Partial Differential Equations in Mathematical Physics

Journal of Applied Mathematics, 2013
We use the improved general mapping deformation method based on the generalized Jacobi elliptic functions expansion method to construct some of the generalized Jacobi elliptic solutions for some nonlinear partial differential equations in mathematical ...
Khaled A. Gepreel
doaj   +1 more source

The Continuous Classical Boundary Optimal Control of a Couple Nonlinear Elliptic Partial Differential Equations with State Constraints

Al-Mustansiriyah Journal of Science, 2019
This paper is concerned with, the proof of the existence and the uniqueness theorem for the solution of the state vector of a couple of nonlinear elliptic partial differential equations using the Minty-Browder theorem, where the continuous classical ...
Jamil Amir Al-hawasy, Safaa J. Mohammed Al-Qaisi   +1 more
doaj   +1 more source

Boundary singularities of positive solutions of some nonlinear elliptic equations [PDF]

, 2007
We study the behaviour near a boundary point a of any positive solution of a nonlinear elliptic equations with forcing term which vanishes on the boundary except at a.
Bidaut-Veron, Marie-Francoise, Ponce, Augusto, Veron, Laurent   +2 more
core   +4 more sources

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
doaj   +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

A spectral method for nonlinear elliptic equations [PDF]

Numerical Algorithms, 2016
26 pages.
Kendall Atkinson, David Chien, Olaf Hansen   +2 more
openaire   +3 more sources

ABP and global Hölder estimates for fully nonlinear elliptic equations in unbounded domains [PDF]

, 2014
We prove global Holder estimates for solutions of fully nonlinear elliptic or degenerate elliptic equations in unbounded domains under geometric conditions a la Cabre.
I. Birindelli, I. Dolcetta, A. Vitolo
semanticscholar   +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