Results 21 to 30 of about 232 (181)

L∞-Convergence Analysis of a Finite Element Linear Schwarz Alternating Method for a Class of Semi-Linear Elliptic PDEs

International Journal of Analysis and Applications, 2023
In this paper, we prove uniform convergence of the standard finite element method for a Schwarz alternating procedure for a class of semi-linear elliptic partial differential equations, in the context of linear iterations and non-matching grids.
Qais Al Farei, Messaoud Boulbrachene
doaj   +1 more source

Blowup Properties for a Semilinear Reaction-Diffusion System with Nonlinear Nonlocal Boundary Conditions

Abstract and Applied Analysis, 2010
We investigate the blowup properties of the positive solutions for a semilinear reaction-diffusion system with nonlinear nonlocal boundary condition.
Dengming Liu, Chunlai Mu
doaj   +1 more source

Sign-changing and multiple solutions for the p-Laplacian

Abstract and Applied Analysis, 2002
We obtain a positive solution, a negative solution, and a sign-changing solution for a class of p-Laplacian problems with jumping nonlinearities using variational and super-subsolution methods.
Siegfried Carl, Kanishka Perera
doaj   +1 more source

Hessian equations of Krylov type on compact Hermitian manifolds

Open Mathematics, 2022
In this article, we are concerned with the equations of Krylov type on compact Hermitian manifolds, which are in the form of the linear combinations of the elementary symmetric functions of a Hermitian matrix.
Zhou Jundong, Chu Yawei
doaj   +1 more source

Permanence in $N$ species nonautonomous competitive reaction-diffusion-advection system of Kolmogorov type in heterogeneous environment

Electronic Journal of Qualitative Theory of Differential Equations, 2018
One of the important concept in population dynamics is finding conditions under which the population can coexist. Mathematically formulation of this problem we call permanence or uniform persistence.
Joanna Balbus
doaj   +1 more source

Partial Regularity of the Gradient for Subsolutions

Bulletin of the Brazilian Mathematical Society, New Series
Abstract For any subharmonic function u , we prove that $$|\partial _j u|$$ |
A. Hakobyan, M. Poghosyan, H. Shahgholian   +2 more
openaire   +2 more sources

Subsolutions of time-periodic Hamilton–Jacobi equations [PDF]

Ergodic Theory and Dynamical Systems, 2007
To appear in Ergodic Theory and Dynamical ...
openaire   +3 more sources

Approximate Reachability for Feedback Linearizable Systems

Optimal Control Applications and Methods, EarlyView.
The backwards reachable set for a dynamical system is the set of states for which there exists a constraint admissible trajectory that reaches a given terminal set. Conventional grid‐based approaches for computing these sets are intractable for many applications.
Vincent Liu, Chris Manzie, Peter M. Dower   +2 more
wiley   +1 more source

Equilibrium Reward for Liquidity Providers in Automated Market Makers

Mathematical Finance, EarlyView.
ABSTRACT We find the equilibrium contract that an automated market maker (AMM) offers to their strategic liquidity providers (LPs) in order to maximize the order flow that gets processed by the venue. Our model is formulated as a leader–follower stochastic game, where the venue is the leader and a representative LP is the follower.
Alif Aqsha, Philippe Bergault, Leandro Sánchez‐Betancourt   +2 more
wiley   +1 more source

Qualitative properties of solutions to parabolic anisotropic equations, part II — The anisotropic Trudinger's equation

Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.
Abstract We study the local regularity properties of weak solutions to a special class of anisotropic doubly nonlinear parabolic operators, whose prototype is the anisotropic Trudinger's equation ut−∑i=1NDiu2−pi|Diu|pi−2Diu=0,u⩾0.$$\begin{equation*} u_t- \sum \limits _{i=1}^N D_i{\left(u^{2-p_i}|D_i u|^{p_i-2} D_i u\right)}=0,\qquad u\geqslant 0.
S. Ciani, E. Henriques, M. O. Savchenko, I. I. Skrypnik   +3 more
wiley   +1 more source