Results 31 to 40 of about 85 (85)

Fast and Slow Decaying Solutions of Lane–Emden Equations Involving Nonhomogeneous Potential

Advanced Nonlinear Studies, 2020
Our purpose in this paper is to study positive solutions of the Lane–Emden ...
Chen Huyuan, Huang Xia, Zhou Feng
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Threshold results of blow-up solutions to Kirchhoff equations with variable sources

This paper analyzes an initial boundary value problem for variable source Kirchhoff-type parabolic equations. We aim to derive a new sub-critical energy threshold for finite-time blow-up, a new blow-up condition, and estimates for lifespan and upper ...
RAHMOUNE, Abita, TOUIL, Nadji
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Upper and lower bounds for the blow-up time for a viscoelastic wave equation with dynamic boundary conditions

, 2020
In this paper, we consider a viscoelastic wave equation with dynamical boundary conditions. Under certain assumptions, we give the upper and lower bounds for the blow-up time according to the exponent numbers m and p of the nonlinear boundary damping ...
Liu, Wenjun, Li, Gang, Zhu, Biqing
core  

Sharp threshold for global existence and blowup in the focusing nonlinear Schrödinger equation with inverse-square potential

Advances in Nonlinear Analysis
This paper examines the focusing nonlinear Schrödinger equation with an inverse-square potential in RN(N≥3) ${\mathbb{R}}^{N} \left(N\ge 3\right)$ , where the nonlinear exponent lies between the mass-critical and energy-subcritical regimes.
Lin Qiang, Chen Shaohua
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Well-posedness of damped Kirchhoff-type wave equation with fractional Laplacian

Advanced Nonlinear Studies
In the present paper, we study the well-posedness of the solution to the initial boundary value problem for the damped Kirchhoff-type wave equation with fractional Laplacian.
Chen Shaohua, Han Jiangbo, Xu Runzhang, Yang Chao, Zhang Meina   +4 more
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Self-similar blow-up solutions of the four-dimensional Schrödinger-Wave system

Advances in Nonlinear Analysis
This article is primarily dedicated to the investigation of the initial value problem for the Schrödinger-wave system in dimension four. By employing self-similar transformations in conjunction with the Banach fixed-point theorem, we establish the ...
Hou Wenhe, Li Fangfang, Ma Yansheng, Zhang Dan   +3 more
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Extremals for Fractional Moser–Trudinger Inequalities in Dimension 1 via Harmonic Extensions and Commutator Estimates

Advanced Nonlinear Studies, 2020
We prove the existence of extremals for fractional Moser–Trudinger inequalities in an interval and on the whole real line. In both cases we use blow-up analysis for the corresponding Euler–Lagrange equation, which requires new sharp estimates obtained ...
Mancini Gabriele, Martinazzi Luca
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Existence of positive radial solutions of general quasilinear elliptic systems

Advances in Nonlinear Analysis
Let Ω⊂Rn(n≥2)\Omega \subset {{\mathbb{R}}}^{n}\hspace{0.33em}\left(n\ge 2) be either an open ball BR{B}_{R} centred at the origin or the whole space. We study the existence of positive, radial solutions of quasilinear elliptic systems of the form Δpu=f1(∣
Devine Daniel
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Complex-plane singularity dynamics for blow up in a nonlinear heat equation: analysis and computation

Blow-up solutions to a heat equation with spatial periodicity and a quadratic nonlinearity are studied through asymptotic analyses and a variety of numerical methods.
Fasondini, M., King, J. R., Weideman, J. A.C.   +2 more
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Blow-up of solutions to cubic nonlinear Schrödinger equations with defect: The radial case

Advances in Nonlinear Analysis, 2017
In this article we investigate both numerically and theoretically the influence of a defect on the blow-up of radial solutions to a cubic NLS equation in dimension 2.
Goubet Olivier, Hamraoui Emna
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