Results 11 to 20 of about 8,945 (319)

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

open access: yes, 2011
We deal with nonnegative distributional supersolutions for a class of linear elliptic equations involving inverse-square potentials and logarithmic weights.
Roberta Musina   +8 more
core   +1 more source

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

open access: yesJournal 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

open access: yesAl-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   +1 more
doaj   +1 more source

Explicit solutions of some equations and systems of mathematical physics

open access: yesAdvances 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

open access: yesFractal 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

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

open access: yesJournal 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   +2 more
doaj   +1 more source

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

open access: yesJournal 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

Some Modified Bifurcation Problems with Application to Imperfection Sensitivity in Buckling [PDF]

open access: yes, 1972
The branching theory of solutions of certain nonlinear elliptic partial differential equations is developed, when the nonlinear term is perturbed from unforced to forced.
Keener, James Paul
core   +1 more source

Infinitely Many Elliptic Solutions to a Simple Equation and Applications

open access: yesAbstract 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

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

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