Results 11 to 20 of about 22,636 (264)

THE ROBIN PROBLEM FOR THE HÉNON EQUATION [PDF]

open access: yesBulletin of the Australian Mathematical Society, 2013
AbstractIn this paper, we consider the following Robin problem:$$\begin{eqnarray*}\displaystyle \left\{ \begin{array}{ @{}ll@{}} \displaystyle - \Delta u= \mid x{\mathop{\mid }\nolimits }^{\alpha } {u}^{p} , \quad & \displaystyle x\in \Omega , \\ \displaystyle u\gt 0, \quad & \displaystyle x\in \Omega , \\ \displaystyle \displaystyle \frac ...
openaire   +1 more source

An inverse three spectra problem for Sturm–Liouville operators

open access: yesBoundary Value Problems, 2018
In this paper, we consider the inverse three spectra problems of recovering the Sturm–Liouville equation by the spectra of the Neumann–Dirichlet boundary value problem on [0,1] $[0,1]$, the Neumann–Robin problem on [0,1/2] $[0,1/2]$, and the Robin ...
Yongxia Guo, Guangsheng Wei, Ruoxia Yao
doaj   +1 more source

The spacewise dependent source identification problem for the elliptic-telegraph differential equation with involution and Robin condition [PDF]

open access: yesE-Journal of Analysis and Applied Mathematics, 2023
In the present paper, the spacewise dependent source identification problem (SIP) for the elliptic-telegraph differential equation with involution and Robin condition is investigated. The theorem on stability estimates for the solution of this space-wise
Allaberen Ashyralyev, Ahmad Al-Hammouri
doaj   +1 more source

Positive solutions for nonvariational Robin problems

open access: yesAsymptotic Analysis, 2018
We study a nonlinear Robin problem driven by the p-Laplacian and with a reaction term depending on the gradient (convection term). Using the theory of nonlinear operators of monotone-type and the asymptotic analysis of a suitable perturbation of the original equation, we show the existence of a positive smooth solution.
Nikolaos S. Papageorgiou   +2 more
openaire   +4 more sources

Asymptotic analysis of Sturm-Liouville problem with Robin and two-point boundary conditions

open access: yesLietuvos Matematikos Rinkinys, 2022
We analyze the initial value problem and get asymptotic expansions for solution. We investigate the characteristic equation for Sturm-Liouville problem with one classical Robin type boundary condition and another two-point nonlocal boundary condition ...
Artūras Štikonas
doaj   +1 more source

A Rigidity Result for the Robin Torsion Problem

open access: yesThe Journal of Geometric Analysis, 2023
AbstractLet$$\Omega \subset \mathbb {R}^2$$Ω⊂R2be an open, bounded and Lipschitz set. We consider the torsion problem for the Laplace operator associated to$$\Omega $$Ωwith Robin boundary conditions. In this setting, we study the equality case in the Talenti-type comparison, proved in Alvino et al. (Commun Pure Appl Math 76:585–603, 2023)..
Masiello, Alba Lia, Paoli, Gloria
openaire   +4 more sources

Entropy Solution for Doubly Nonlinear Elliptic Anisotropic Problems with Robin Boundary Conditions

open access: yesInternational Journal of Differential Equations, 2015
We study in this paper nonlinear anisotropic problems with Robin boundary conditions. We prove, by using the technic of monotone operators in Banach spaces, the existence of a sequence of weak solutions of approximation problems associated with the ...
I. Ibrango, S. Ouaro
doaj   +1 more source

On the Asymptotic Behavior of Eigenvalues and Eigenfunctions of the Robin Problem with Large Parameter

open access: yesMathematical Modelling and Analysis, 2017
We consider the eigenvalue problem with Robin boundary condition ∆u + λu = 0 in Ω, ∂u/∂ν + αu = 0 on ∂Ω, where Ω ⊂ Rn , n ≥ 2 is a bounded domain with a smooth boundary, ν is the outward unit normal, α is a real parameter.
Alexey V. Filinovskiy
doaj   +1 more source

Asymptotics and Uniqueness of Solutions of the Elasticity System with the Mixed Dirichlet–Robin Boundary Conditions

open access: yesMathematics, 2020
We study properties of generalized solutions of the Dirichlet–Robin problem for an elasticity system in the exterior of a compact, as well as the asymptotic behavior of solutions of this mixed problem at infinity, with the condition that the energy ...
Hovik A. Matevossian
doaj   +1 more source

The numerical solution of forward and inverse Robin problems for Laplace’s equation

open access: yesBoundary Value Problems, 2019
The Robin boundary value problem for Laplace’s equation in the elliptic region (which is a forward problem) and its related inverse problem can be used to reconstruct Robin coefficients from measurements on a partial boundary (inverse problem).
Dan Qu, Yan-Bo Ma
doaj   +1 more source

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