Note on the stability of the Dirichlet problem and the Poisson equation

Petr Pošta

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The theory of small changesin the domain of existence in the theory of partial differential equations and its applications

Babuška, I.

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Dirichlet problem with L $^{p}$ -boundary data in contractible domains of Carnot groups

Andrea Bonfiglioli, Ermanno Lanconelli (2006)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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Let $ℒ$ be a sub-laplacian on a stratified Lie group $G$ . In this paper we study the Dirichlet problem for $ℒ$ with $L^{p}$ -boundary data, on domains $Ω$ which are contractible with respect to the natural dilations of $G$ . One of the main difficulties we face is the presence of non-regular boundary points for the usual Dirichlet problem for $ℒ$ . A potential theory approach is followed. The main results are applied to study a suitable notion of Hardy spaces.

A sharpening of a theorem of Bouligand. With an application to harmonic maps.

Fuglede, Bent (2006)

Annales Academiae Scientiarum Fennicae. Mathematica

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Sixty years of Ivan Netuka

Josef Král, Jiří Veselý (2004)

Mathematica Bohemica

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Displaying similar documents to “Note on the stability of the Dirichlet problem and the Poisson equation”

The theory of small changesin the domain of existence in the theory of partial differential equations and its applications

Dirichlet problem with L p -boundary data in contractible domains of Carnot groups

A sharpening of a theorem of Bouligand. With an application to harmonic maps.

Sixty years of Ivan Netuka

Dirichlet problem with L $^{p}$ -boundary data in contractible domains of Carnot groups