Results 11 to 20 of about 57,990 (260)

Principal eigenvalue problem for infinity Laplacian in metric spaces

open access: yesAdvanced Nonlinear Studies, 2022
This article is concerned with the Dirichlet eigenvalue problem associated with the ∞\infty -Laplacian in metric spaces. We establish a direct partial differential equation approach to find the principal eigenvalue and eigenfunctions in a proper geodesic
Liu Qing, Mitsuishi Ayato
doaj   +1 more source

Arithmetic partial differential equations, I

open access: yesAdvances in Mathematics, 2010
Updated version of paper includes new results on ...
Buium, Alexandru, Simanca, Santiago R.
openaire   +4 more sources

Well-Posedness of a Class of Radial Inhomogeneous Hartree Equations

open access: yesMathematics, 2023
The present paper investigates the following inhomogeneous generalized Hartree equation iu˙+Δu=±|u|p−2|x|b(Iα∗|u|p|·|b)u, where the wave function is u:=u(t,x):R×RN→C, with N≥2.
Saleh Almuthaybiri   +2 more
doaj   +1 more source

On the α−ψ−Contractive Mappings in C∗-Algebra Valued b-Rectangular Metric Spaces and Fixed Point Theorems

open access: yesEuropean Journal of Mathematical Analysis, 2022
This present paper extends a version of α−ψ−contraction in C∗-algebra valued rectangular b-metric spaces and establishing the existence and uniqueness of fixed point for them.
Mohamed Rossafi   +2 more
doaj   +1 more source

Implicit Partial Differential Equations [PDF]

open access: yes, 1999
Progress in Nonlinear Differential Equations and their Applications ...
B. DACOROGNA, MARCELLINI, PAOLO
openaire   +2 more sources

On convergence of explicit finite volume scheme for one-dimensional three-component two-phase flow model in porous media

open access: yesDemonstratio Mathematica, 2021
In this work, we develop and analyze an explicit finite volume scheme for a one-dimensional nonlinear, degenerate, convection–diffusion equation having application in petroleum reservoir.
Mostefai Mohamed Lamine   +2 more
doaj   +1 more source

On classical symmetries of ordinary differential equations related to stationary integrable partial differential equations [PDF]

open access: yesOpuscula Mathematica, 2021
We study the relationship between the solutions of stationary integrable partial and ordinary differential equations and coefficients of the second-order ordinary differential equations invariant with respect to one-parameter Lie group.
Ivan Tsyfra
doaj   +1 more source

Global well-posedness of some high-order focusing semilinear evolution equations with exponential nonlinearity

open access: yesAdvances in Nonlinear Analysis, 2018
In even space dimensions, the initial value problems for some high-order focusing semilinear evolution equations with exponential nonlinearities are considered.
Saanouni Tarek
doaj   +1 more source

Global existence and dynamic structure of solutions for damped wave equation involving the fractional Laplacian

open access: yesDemonstratio Mathematica, 2021
We consider strong damped wave equation involving the fractional Laplacian with nonlinear source. The results of global solution under necessary conditions on the critical exponent are established.
Bidi Younes   +3 more
doaj   +1 more source

A note on coupled nonlinear Schrödinger equations

open access: yesAdvances in Nonlinear Analysis, 2014
We investigate the initial value problem for some coupled nonlinear Schrödinger equations in two space dimensions with exponential growth. We prove global well-posedness and scattering in the defocusing case. In the focusing sign, existence of non-global
Saanouni Tarek
doaj   +1 more source

Home - About - Disclaimer - Privacy