Results 71 to 80 of about 412 (197)

Asymptotic growth rate of solutions to level‐set forced mean curvature flows with evolving spirals

Bulletin of the London Mathematical Society, Volume 57, Issue 3, Page 748-770, March 2025.
Abstract Here, we study a level‐set forced mean curvature flow with evolving spirals and the homogeneous Neumann boundary condition, which appears in a crystal growth model. Under some appropriate conditions on the forcing term, we prove that the solution is globally Lipschitz.
Hiroyoshi Mitake, Hung V. Tran
wiley   +1 more source

Subsolutions of Elliptic Operators in Divergence Form and Application to Two-Phase Free Boundary Problems

Boundary Value Problems, 2006
Let L be a divergence form operator with Lipschitz continuous coefficients in a domain Ω, and let u be a continuous weak solution of Lu=0 in {u≠0}.
Sandro Salsa, Fausto Ferrari
doaj   +1 more source

Dissipative Gradient Nonlinearities Prevent δ$\delta$‐Formations in Local and Nonlocal Attraction–Repulsion Chemotaxis Models

Studies in Applied Mathematics, Volume 154, Issue 2, February 2025.
ABSTRACT We study a class of zero‐flux attraction–repulsion chemotaxis models, characterized by nonlinearities laws for the diffusion of the cell density u$u$, the chemosensitivities and the production rates of the chemoattractant v$v$ and the chemorepellent w$w$. In addition, a source involving also the gradient of u$u$ is incorporated.
Tongxing Li, Daniel Acosta‐Soba, Alessandro Columbu, Giuseppe Viglialoro   +3 more
wiley   +1 more source

Existence and comparison results for quasilinear evolution hemivariational inequalities

Electronic Journal of Differential Equations, 2004
We generalize the sub-supersolution method known for weak solutions of single and multivalued nonlinear parabolic problems to quasilinear evolution hemivariational inequalities.
Siegfried Carl, Vy K. Le, Dumitru Motreanu   +2 more
doaj  

On the existence of bounded solutions of nonlinear elliptic systems

International Journal of Mathematics and Mathematical Sciences, 2002
We study the existence of bounded solutions to the elliptic system −Δpu=f(u,v)+h1 in Ω, −Δqv=g(u,v)+h2 in Ω, u=v=0 on ∂Ω, non-necessarily potential systems. The method used is a shooting technique.
Abdelaziz Ahammou
doaj   +1 more source

Toeplitz Matrix Method and Nonlinear Volterra–Fredholm Integral Equation With Hilbert Kernel

Computational and Mathematical Methods, Volume 2025, Issue 1, 2025.
This work emphasizes the investigation of the solution to the nonlinear Volterra–Fredholm integral equation (NV‐FIE) and the necessary conditions for a unique solution. The first step is to convert the NV‐FIE into a system of nonlinear Fredholm integral equations (NFIEs) using the splitting of the time interval. Analytical and semianalytical approaches
Sameeha Ali Raad, Ahlam Yahya Alabdali, Pedro Alonso   +2 more
wiley   +1 more source

Decay estimates for nonlinear wave equations with variable coefficients

Electronic Journal of Differential Equations, 2019
We study the long-time behavior of solutions to a particular class of nonlinear wave equations that appear in models for waves traveling in a non-homogeneous gas with variable damping. Specifically, decay estimates for the energy of such solutions are
Michael Roberts
doaj  

Development of Interfaces in Nonlinear Multidimensional Reaction‐Diffusion Equations With Parabolic p‐Laplacian Properties

Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.
This research examines the behavior of interfaces in nonlinear multidimensional reaction–diffusion equations with parabolic p‐Laplacian properties, which are applicable across a wide range of biological, physical, and chemical contexts. The value of this work lies in its contribution to understanding how interfaces behave under slow diffusion, shedding
Roqia Abdullah Jeli, Oluwole D. Makinde
wiley   +1 more source

Existence of solutions for singular (p,q)-Kirchhoff type systems with multiple parameters

Electronic Journal of Differential Equations, 2016
This article concerns the existence of positive solutions for singular (p,q)-Kirchhoff type systems with multiple parameters. Our approach is based on the method of sub- and super-solutions.
Sayyed Hashem Rasouli
doaj  

Positive symmetric solutions of singular semipositone boundary value problems

Electronic Journal of Qualitative Theory of Differential Equations, 2009
Using the method of upper and lower solutions, we prove that the singular boundary value problem, \[ -u'' = f(u) ~ u^{-\alpha} \quad \textrm{in} \quad (0, 1), \quad u'(0) = 0 = u(1) \, , \] has a positive solution when $0 < \alpha < 1$ and $f : \mathbb ...
M. Rudd, Christopher Tisdell
doaj   +1 more source