2013Boundary Value ProblemsOpen access

Dirichlet problems of harmonic functions

Gang Xu, Pai Yang, Tao Zhao

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Abstract

In this paper, a solution of the Dirichlet problem in the upper half-plane isconstructed by the generalized Dirichlet integral with a fast growing continuousboundary function. MSC: 31B05, 31B10.

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In this paper, a solution of the Dirichlet problem in the upper half-plane isconstructed by the generalized Dirichlet integral with a fast growing continuousboundary function. MSC: 31B05, 31B10.

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OpenAlex reports 7 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

In this paper, a solution of the Dirichlet problem in the upper half-plane isconstructed by the generalized Dirichlet integral with a fast growing continuousboundary function. MSC: 31B05, 31B10.

Key concepts: Mathematics, Dirichlet's energy, Dirichlet series, Dirichlet's principle, Dirichlet problem, Dirichlet integral, Ordinary differential equation, Generalized Dirichlet distribution

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