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Local and global behaviour of nonlinear equations with natural growth terms
Quasilinear equations natural growth terms Wolff potentials discrete Carleson measures
2011/7/13
Abstract: This paper concerns a study of the pointwise behaviour of positive solutions to certain quasi-linear elliptic equations with natural growth terms, under minimal regularity assumptions on the...
Estimates on the modulus of expansion for vector fields solving nonlinear equations
Estimates vector fields nonlinear equations Differential Geometry
2011/7/12
Abstract: By adapting methods of \cite{AC} we prove a sharp estimate on the expansion modulus of the gradient of the log of the parabolic kernel to the Sch\"ordinger operator with convex potential, wh...
Nonlinear equations for fractional Laplacians I: Regularity, maximum principles, and Hamiltonian estimates
Nonlinear equations for fractional Laplacians I Regularity maximum principles Hamiltonian estimates
2010/12/31
This is the first of two articles dealing with the equation (−)sv = f(v) in Rn, with s ∈ (0, 1), where (−)s stands for the fractional Laplacian —the infinitesimal generator of a L´...
An efficient algorithm for solving system of nonlinear equations
System of Non-Linear Equations Convergence Conditions of Adomian Decomposition Method
2010/12/30
In this paper, the accounting of the answers of a system of nonlinear equations is considered and a new algorithm based on the method of Adomian decomposition convergence basis for solving functional ...
A maximum rank problem for degenerate elliptic fully nonlinear equations
degenerate elliptic fully nonlinear equations
2010/9/1
The solutions to the Dirichlet problem for two degenerate elliptic fully nonlinear equations in n + 1 dimensions, namely the real Monge-Amp`ere equation and the Donaldson equation, are shown to have m...
A mapping function approach applied to some classes of nonlinear equations
mapping function nonlinear equations
2010/2/24
In this work, we study some models of scalar fields in 1+1 dimensions with non-linear self-interactions. Here, we show how it is possible to extend the solutions recently reported in the literature fo...
A Riemann theta function formula with its application to double periodic wave solutions of nonlinear equations
Riemann theta function Hirota's bilinear form nonlinear equations
2010/1/13
Based on a Riemann theta function and Hirota's bilinear form, a lucid and straightforward way is presented to explicitly construct double periodic wave solutions for both nonlinear differential and di...
An iterative method with fifth-order convergence for nonlinear equations
Analysis convergence Decomposition methods
2009/12/30
In this paper, we suggest and analyze a new four-step iterative method for solving nonlinear equations involving only first derivative of the function using a new decomposition technique which is due ...
On systems of fuzzy nonlinear equations
Newton’s method Fixed point iteration Fuzzy system of nonlinear equations
2008/12/31
In this paper, we suggest and analyze a new two-step iterative method for solving a system of fuzzy nonlinear equations by using the Midpoint quadrature rule. We prove that this method has quadratic c...
Numerical method for solving fuzzy nonlinear equations
Fuzzy nonlinear equations Fixed point iteration Newton’s
2008/12/31
In this paper, we suggest and analyze a new two-step iterative method for solving nonlinear fuzzy equations using the Harmonic mean rule. We prove that this method has quadratic convergence. The fuzzy...
An iterative method for solving fuzzy nonlinear equations in Banach spaces
Fuzzy nonlinear equations Fixed point iteration
2008/12/31
In this paper, we suggest and analyze a new two-step iterative method for solving nonlinear fuzzy equations using the Trapezoidal quadrature rule. We prove that this method has quadratic convergence. ...
An improved regula falsi method for finding simple zeros of nonlinear equations
Regula falsi method Nonlinear equations Numerical examples
2008/12/31
An improved regula falsi (IRF) method based on classic regula falsi (RF) method is proposed in this paper. The method is verified on a number of test examples and numerical results confirm that the pr...
On systems of fuzzy nonlinear equations
Newton’s method Fixed point iteration Fuzzy system of nonlinear equations
2008/12/31
In this paper, we suggest and analyze a new two-step iterative method for solving a system of fuzzy nonlinear equations by using the Midpoint quadrature rule. We prove that this method has quadratic c...
A new technique for solving systems of nonlinear equations
Systems of non-linear equations Gauss-Seidel method
2008/12/30
The aim of this paper is to construct a new method for solving systems of nonlinear equations. The new method is based on the idea of Gauss-Seidel method, which is a known method for solving systems o...
Iterative Solution of Nonlinear Equations of Hammerstein Type
Accretive operators Uniformly smooth spaces Duality maps
2008/7/1
Iterative Solution of Nonlinear Equations of Hammerstein Type.