A mountain pass method for the numerical solution of semilinear elliptic problems. (English) Zbl 0779.35032

Choi, Y. S.; McKenna, P. J.

Nonlinear Anal., Theory Methods Appl. 20, No. 4, 417-437 (1993).

The authors use the mountain pass method for the numerical solution of semilinear elliptic problems. The mountain pass theorem has been extensively used as a tool for proving the existence of critical points of nonlinear functionals. These functionals are such that their critical points are solutions of semilinear elliptic problems. In this paper the numerical algorithm is presented in finding an approximate critical point.

Reviewer: L.Haçia (Poznań)

MSC:

35J25	Boundary value problems for second-order elliptic equations
65N99	Numerical methods for partial differential equations, boundary value problems

Keywords:

mountain pass method; numerical solution; semilinear elliptic problems; existence of critical points; nonlinear functionals; numerical algorithm

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