Existence of solitary-wave solutions to nonlocal equations
نویسندگان
چکیده
منابع مشابه
Complexition and solitary wave solutions of the (2+1)-dimensional dispersive long wave equations
In this paper, the coupled dispersive (2+1)-dimensional long wave equation is studied. The traveling wave hypothesis yields complexiton solutions. Subsequently, the wave equation is studied with power law nonlinearity where the ansatz method is applied to yield solitary wave solutions. The constraint conditions for the existence of solitons naturally fall out of the derivation of the soliton so...
متن کاملConcentration Compactness and the Stability of Solitary-Wave Solutions to Nonlocal Equations
In their proof of the stability of standing-wave solutions of nonlinear Schrödinger equations, Cazenave and Lions used the principle of concentration compactness to characterize the standing waves as solutions of a certain variational problem. In this article we first review the techniques introduced by Cazenave and Lions, and then discuss their application to solitary-wave solutions of nonloca...
متن کاملExistence of Solutions to Nonlocal Elliptic Equations with Discontinuous Terms
In this article, we study the existence of nonnegative solutions for the elliptic partial differential equation −[M(‖u‖p1,p)] ∆pu = f(x, u) in Ω, u = 0 on ∂Ω, where Ω ⊂ RN is a bounded smooth domain, f : Ω×R+ → R is a discontinuous nonlinear function.
متن کاملExistence of Mild Solutions for Nonlocal Semilinear Fractional Evolution Equations
In this paper, we investigate a class of semilinear fractional evolution equations with nonlocal initial conditions given by (1) ⎧⎨ ⎩ dqu(t) dtq = Au(t)+(Fu)(t), t ∈ I, u(0)+g(u) = u0, where 0 < q< 1 , I is a compact interval. Sufficient conditions for the existence of mild solutions for the equation (1) are derived. The main tools include Laplace transform, Arzela-Ascoli’s Theorem, Schauder’s ...
متن کاملExistence of Global Solutions to Supercritical Semilinear Wave Equations
In this work we study the existence of global solution to the semilinear wave equation (∂
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Discrete and Continuous Dynamical Systems
سال: 2016
ISSN: 1078-0947
DOI: 10.3934/dcds.2016.36.3483