most citedA modified integral equation method of the nonlinear elliptic equation with globally and locally Lipschitz source

23 citations

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2 papers

math.AP2014★ 14 cited

Approximation of mild solutions of the linear and nonlinear elliptic equations

Nguyen Huy Tuan, Dang Duc Trong, Le Duc Thang +1

In this paper, we investigate the Cauchy problem for both linear and semi-linear elliptic equations. In general, the equations have the form \[ \frac{\partial^{2}}{\partial t^{2}}u…

math.AP2014★ 23 cited

A modified integral equation method of the nonlinear elliptic equation with globally and locally Lipschitz source

Nguyen Huy Tuan, Le Duc Thang, Vo Anh Khoa

The paper is devoted to investigating a Cauchy problem for nonlinear elliptic PDEs in the abstract Hilbert space. The problem is hardly solved by computation since it is severely i…