Results 41 to 50 of about 169 (82)

On Bellman‐Bihari integral inequalities

International Journal of Mathematics and Mathematical Sciences, Volume 5, Issue 1, Page 97-103, 1982., 1982
Integral inequalities of the Bellman‐Bihari type are established for integrals involving an arbitrary number of independent variables.
Eutiquio C. Young
wiley   +1 more source

Homogenisation with error estimates of attractors for damped semi-linear anisotropic wave equations

Advances in Nonlinear Analysis, 2019
Homogenisation of global 𝓐ε and exponential 𝓜ε attractors for the damped semi-linear anisotropic wave equation ∂t2uε+y∂tuε−divaxε∇uε+f(uε)=g,$\begin{array}{} \displaystyle \partial_t ^2u^\varepsilon + y \partial_t u^\varepsilon-\operatorname{div} \left(a\
Cooper Shane, Savostianov Anton
doaj   +1 more source

On an initial‐boundary value problem for the nonlinear Schrödinger equation

International Journal of Mathematics and Mathematical Sciences, Volume 2, Issue 3, Page 503-522, 1979., 1979
We study an initial‐boundary value problem for the nonlinear Schrödinger equation, a simple mathematical model for the interaction between electromagnetic waves and a plasma layer. We prove a global existence and uniqueness theorem and establish a Galerkin method for solving numerically the problem.
Herbert Gajewski
wiley   +1 more source

An upper bound for the least energy of a sign-changing solution to a zero mass problem

Advanced Nonlinear Studies
We give an upper bound for the least possible energy of a sign-changing solution to the nonlinear scalar field equation −Δu=f(u),u∈D1,2(RN), $-{\Delta}u=f\left(u\right), u\in {D}^{1,2}\left({\mathrm{R}}^{N}\right),$ where N ≥ 5 and the nonlinearity f is
Clapp Mónica, Maia Liliane, Pellacci Benedetta   +2 more
doaj   +1 more source

Monotonicity formulas for coupled elliptic gradient systems with applications

Advances in Nonlinear Analysis, 2019
Consider the following coupled elliptic system of ...
Fazly Mostafa, Shahgholian Henrik
doaj   +1 more source

Solitons in gauge theories: Existence and dependence on the charge

Advances in Nonlinear Analysis, 2014
In this paper we review recent results on the existence of non-topological solitons in classical relativistic nonlinear field theories. We follow the Coleman approach, which is based on the existence of two conservation laws, energy and charge.
Bonanno Claudio
doaj   +1 more source

Doubly Non-linear Elliptic-parabolic Equations by Rothe's Method

, 2014
This work is devoted to study a doubly non linear elliptic-parabolic problem with quadraticgradient term by Rothe’s method. We investigate the long time behavior of the solution to thediscrete problem and prove the existence of compact global attractor ...
J. Igbida, A. E. Hachimi, A. Jamea, A. Asmaa   +3 more
semanticscholar   +1 more source

Global in time well-posedness of a three-dimensional periodic regularized Boussinesq system

Demonstratio Mathematica
Global in time weak solution to a regularized periodic three-dimensional Boussinesq system is proved to exist in energy spaces. This solution depends continuously on the initial data. In particular, it is unique.
Almutairi Shahah
doaj   +1 more source

A class of semipositone p-Laplacian problems with a critical growth reaction term

Advances in Nonlinear Analysis, 2019
We prove the existence of ground state positive solutions for a class of semipositone p-Laplacian problems with a critical growth reaction term. The proofs are established by obtaining crucial uniform C1,α a priori estimates and by concentration ...
Perera Kanishka, Shivaji Ratnasingham, Sim Inbo   +2 more
doaj   +1 more source

Global Schauder estimates for kinetic Kolmogorov-Fokker-Planck equations

Advanced Nonlinear Studies
We present global Schauder type estimates in all variables and unique solvability results in kinetic Hölder spaces for kinetic Kolmogorov-Fokker-Planck (KFP) equations.
Dong Hongjie, Yastrzhembskiy Timur
doaj   +1 more source