Results 111 to 120 of about 511,067 (272)

Elliptic function solutions and travelling wave solutions of nonlinear Dodd-Bullough-Mikhailov, two-dimensional Sine-Gordon and coupled Schrödinger-KdV dynamical models

open access: yesResults in Physics, 2018
In this article, we construct the traveling wave and elliptic function solutions of some special nonlinear evolution equations which are arising in mathematical physics, solid-state physics, fluid flow, fluid dynamics, nonlinear optics, electromagnetic ...
Dianchen Lu   +2 more
doaj  

Nonlinear elliptic equations with measures revisited

open access: yes, 2007
We study the existence of solutions of the nonlinear problem $$ \left\{ \begin{alignedat}{2} - u + g(u) & = & & \quad \text{in } ,\\ u & = 0 & & \quad \text{on } \partial , \end{alignedat} \right. $$ where $ $ is a Radon measure and $g : \mathbb{R} \to \mathbb{R}$ is a nondecreasing continuous function with $g(0) = 0 ...
Brezis, Haim   +2 more
openaire   +3 more sources

Dirichlet problems for semilinear elliptic equations with a fast growth coefficient on unbounded domains

open access: yesElectronic Journal of Differential Equations, 2005
When an unbounded domain is inside a slab, existence of a positive solution is proved for the Dirichlet problem of a class of semilinear elliptic equations that are similar either to the singular Emden-Fowler equation or a sublinear elliptic equation ...
Zhiren Jin
doaj  

Dimension of the set of positive solutions to nonlinear equations and applications

open access: yesElectronic Journal of Differential Equations, 2016
We study the covering dimension of the set of (positive) solutions to various classes of nonlinear equations involving condensing and A-proper maps. It is based on the nontriviality of the fixed point index of a certain condensing map or on oddness ...
Petronije S. Milojevic
doaj  

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