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Nonlinear Elliptic Boundary Value Problems at Resonance with Nonlinear Wentzell Boundary Conditions [PDF]

open access: yesAdvances in Mathematical Physics, 2017
Given a bounded domain Ω⊂RN with a Lipschitz boundary ∂Ω and p,q∈(1,+∞), we consider the quasilinear elliptic equation -Δpu+α1u=f in Ω complemented with the generalized Wentzell-Robin type boundary conditions of the form bx∇up-2∂nu-ρbxΔq,Γu+α2u=g on ∂Ω ...
Ciprian G. Gal, Mahamadi Warma
doaj   +3 more sources

SOLUTIONS OF NONLINEAR BOUNDARY SYSTEM WITH COUPLED INTEGRAL BOUNDARY CONDITIONS

open access: diamondE-Jurnal Matematika, 2023
This article presented some theorems on a novel non-linear multiple Integro-differential equations of boundary T-system. It has been studied the numerical-analytic method and Banach fixed point theorem for the existence and approximation of the solutions
RAAD NOORI BUTRIS, HEWA SALMAN FARIS
doaj   +3 more sources

Boundary element methods for potential problems with nonlinear boundary conditions [PDF]

open access: bronzeMathematics of Computation, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M. Ganesh, Olaf Steinbach
openalex   +3 more sources

Population models with nonlinear boundary conditions

open access: yesElectronic Journal of Differential Equations, 2010
We study a two point boundary-value problem describing the steady states of a Logistic growth population model with diffusion and constant yield harvesting. In particular, we focus on a model when a certain nonlinear boundary condition is satisfied.
Jerome Goddard   +2 more
doaj   +2 more sources

Nonlinear boundary conditions for elliptic equations

open access: yesElectronic Journal of Differential Equations, 2005
This work is devoted to the study of the elliptic equation $Delta u = f(x,u)$ in a bounded domain $Omegasubset mathbb{R}^n$ with a nonlinear boundary condition.
Osvaldo Mendez   +2 more
doaj   +4 more sources

Finite difference method for a nonlinear fractional Schrödinger equation with Neumann condition [PDF]

open access: yesE-Journal of Analysis and Applied Mathematics, 2020
In this paper, a special case of nonlinear fractional Schrödinger equation with Neumann boundary condition is considered. Finite difference method is implemented to solve the nonlinear fractional Schrödinger problem with Neumann boundary condition ...
Betul Hicdurmaz
doaj   +1 more source

Radial solutions for nonlinear elliptic equation with nonlinear nonlocal boundary conditions [PDF]

open access: yesOpuscula Mathematica, 2023
In this article, we prove existence of radial solutions for a nonlinear elliptic equation with nonlinear nonlocal boundary conditions. Our method is based on some fixed point theorem in a cone.
Igor Kossowski
doaj   +1 more source

On a comparison theorem for parabolic equations with nonlinear boundary conditions

open access: yesAdvances in Nonlinear Analysis, 2022
In this article, a new type of comparison theorem for some second-order nonlinear parabolic systems with nonlinear boundary conditions is given, which can cover classical linear boundary conditions, such as the homogeneous Dirichlet or Neumann boundary ...
Kita Kosuke, Ôtani Mitsuharu
doaj   +1 more source

Blow-up conditions of nonlinear parabolic equations and systems under mixed nonlinear boundary conditions

open access: yesBoundary Value Problems, 2022
In this paper, we firstly discuss blow-up phenomena for nonlinear parabolic equations u t = ∇ ⋅ [ ρ ( u ) ∇ u ] + f ( x , t , u ) , in  Ω × ( 0 , t ∗ ) , $$ u_{t}=\nabla \cdot \bigl[\rho (u)\nabla u \bigr]+f(x,t,u),\quad \text{in }\Omega \times \bigl(0,t^
Soon-Yeong Chung, Jaeho Hwang
doaj   +1 more source

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