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Mathematische Nachrichten
Article . 2009 . Peer-reviewed
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Article . 2009
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The existence and regularity of multiple solutions for a class of infinitely degenerate elliptic equations

Authors: Chen, Hua; Li, Ke;

The existence and regularity of multiple solutions for a class of infinitely degenerate elliptic equations

Abstract

AbstractLet X = (X1, …, Xm) be an infinitely degenerate system of vector fields. We study the existence and regularity of multiple solutions of the Dirichlet problem for a class of semi‐linear infinitely degenerate elliptic operators associated with the sum of square operator δX = ∑j = 1m Xj* Xj (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

Country
Germany
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Keywords

ddc:510, Nonlinear boundary value problems for linear elliptic equations, Smoothness and regularity of solutions to PDEs, Institut für Mathematik, degenerate elliptic equations, Degenerate elliptic equations, Nonlinear elliptic equations, logarithmic Sobolev inequality

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
9
Average
Top 10%
Average
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bronze
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