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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...
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...
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´...
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 ...
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...
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...
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...
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 ...
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...
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...
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 (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...
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...
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...

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