Nonlinear Elliptic Boundary Value Problems at Resonance with Nonlinear Wentzell Boundary Conditions [PDF]
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
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SOLUTIONS OF NONLINEAR BOUNDARY SYSTEM WITH COUPLED INTEGRAL BOUNDARY CONDITIONS
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
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Radial solutions for nonlinear elliptic equation with nonlinear nonlocal boundary conditions [PDF]
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
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On a comparison theorem for parabolic equations with nonlinear boundary conditions
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
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Finite difference method for a nonlinear fractional Schrödinger equation with Neumann condition [PDF]
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
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A Double Phase Problem with a Nonlinear Boundary Condition
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Debajyoti Choudhuri +2 more
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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
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The existence and approximation of the periodic solution of a system of nonlinear differential-differential equations of the first order with independent variable delay with boundary conditions [PDF]
In this paper we study the existence and approximation of the solutions for some systems of nonlinear integro-differential equations with having retarded arguments and boundary conditions. The numerical–analytic method has been used to study the periodic
Raad Putrus, Ann Isaac
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Positive solutions of boundary value problems with nonlinear nonlocal boundary conditions [PDF]
We consider the existence of at least three positive solutions of a nonlinear first order problem with a nonlinear nonlocal boundary condition given by \[\begin{aligned} x^{\prime}(t)& = r(t)x(t) + \sum_{i=1}^{m} f_i(t,x(t)), \quad t \in [0,1 ...
Seshadev Padhi, Smita Pati, D. K. Hota
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Solvability of the Heat Equation with a Nonlinear Boundary Condition [PDF]
We obtain necessary conditions and sufficient conditions for the solvability of the heat equation in a half-space of ${\bf R}^N$ with a nonlinear boundary condition. Furthermore, we study the relationship between the life span of the solution and the behavior of the initial function.
Kotaro Hisa, Kazuhiro Ishige
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