Results 1 to 10 of about 343 (147)

Boundary behaviors for linear systems of subsolutions of the stationary Schrödinger equation [PDF]

open access: goldJournal of Inequalities and Applications, 2016
This paper investigates the boundary behaviors for linear systems of subsolutions of the stationary Schrödinger equation, which contain unstable subsystems.
Zongcai Jiang, Francisco Marco Usó
doaj   +2 more sources

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

open access: greenBoundary Value Problems, 2007
Let be a divergence form operator with Lipschitz continuous coefficients in a domain , and let be a continuous weak solution of in . In this paper, we show that if satisfies a suitable differential inequality, then is a subsolution of away from ...
Salsa Sandro, Ferrari Fausto
doaj   +1 more source

Nonlinear parabolic equation having nonstandard growth condition with respect to the gradient and variable exponent [PDF]

open access: yesOpuscula Mathematica, 2021
We are concerned with the existence of solutions to a class of quasilinear parabolic equations having critical growth nonlinearity with respect to the gradient and variable exponent.
Abderrahim Charkaoui   +2 more
doaj   +1 more source

Asymptotic behavior of positive solutions of a semilinear Dirichlet problem in the annulus [PDF]

open access: yesOpuscula Mathematica, 2015
In this paper, we establish existence and asymptotic behavior of a positive classical solution to the following semilinear boundary value problem: \[-\Delta u=q(x)u^{\sigma }\;\text{in}\;\Omega,\quad u_{|\partial\Omega}=0.\] Here \(\Omega\) is an annulus
Safa Dridi, Bilel Khamessi
doaj   +1 more source

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

open access: yesAbstract 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

Existence and asymptotic behavior of ground state solutions of semilinear elliptic system

open access: yesAdvances in Nonlinear Analysis, 2017
In this article, we take up the existence and the asymptotic behavior of entire bounded positive solutions to the following semilinear elliptic system:
Mâagli Habib   +2 more
doaj   +1 more source

Existence and stability of traveling wavefronts for discrete three species competitive-cooperative systems

open access: yesMathematical Biosciences and Engineering, 2019
The purpose of this work is to investigate the existence and stability of traveling wavefronts for competitive-cooperative systems with three species. The existence result can be derived by using the technique of monotone method with the help of a pair ...
Cheng-Hsiung Hsu   +2 more
doaj   +1 more source

Convex and quasiconvex functions in metric graphs

open access: yesNetworks and Heterogeneous Media, 2021
We study convex and quasiconvex functions on a metric graph. Given a set of points in the metric graph, we consider the largest convex function below the prescribed datum.
Leandro M. Del Pezzo   +2 more
doaj   +1 more source

Optimal consumption problem in the Vasicek model [PDF]

open access: yesOpuscula Mathematica, 2015
We consider the problem of an optimal consumption strategy on the infinite time horizon based on the hyperbolic absolute risk aversion utility when the interest rate is an Ornstein-Uhlenbeck process.
Jakub Trybuła
doaj   +1 more source

Combined effects in nonlinear singular elliptic problems in a bounded domain

open access: yesAdvances in Nonlinear Analysis, 2012
We establish an existence result of positive solutions to the following boundary value problem:
Chemmam Rym   +3 more
doaj   +1 more source

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