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Generalized Poincaré Inequalities for Solutions to the A-Harmonic Equation in Certain Domains

✍ Scribed by Shusen Ding; Bing Liu

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
88 KB
Volume
252
Category
Article
ISSN
0022-247X

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✦ Synopsis

We first prove local versions of the Poincare inequality for solutions to the Á-harmonic equation. Then, as applications of the local results, we obtain the global versions of the Poincare inequality for solutions to the A-harmonic equation śŽ . s in L , 0 -averaging domains and L -averaging domains, respectively. These results can be considered as generalizations of the classical Poincare theorem.

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