Constrained mountain pass algorithm for the numerical solution of semilinear elliptic problems

作者: Jiří Horák

DOI: 10.1007/S00211-004-0544-7

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摘要: A new numerical algorithm for solving semilinear elliptic problems is presented. variational formulation used and critical points of a C1-functional subject to constraint given by level set another (or an intersection such sets finitely many functionals) are sought. First, constrained local minima looked for, then mountain pass points. The approach based on the deformation lemma theorem in setting. Several examples showing solutions various applications.

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