Elliptic equations with nonstandard growth involving measures
Lukkari, T.
Hiroshima Math. J., Tome 38 (2008) no. 1, p. 155-176 / Harvested from Project Euclid
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We show that given a positive and finite Radon measure $\mu$, there is a $\Apx$ -superharmonic function $u$ which satisfies $-\dive\A(x,Du)=\mu$ ¶ in the sense of distributions. Here $\A$ is an elliptic operator with $p(x)$-type nonstandard growth.
Publié le : 2008-03-15
Classification:  nonstandard growth,  measure data,  superharmonic functions,  35J70,  35D05,  31C45 
@article{1207580349,
     author = {Lukkari, T.},
     title = {Elliptic equations with nonstandard growth involving measures},
     journal = {Hiroshima Math. J.},
     volume = {38},
     number = {1},
     year = {2008},
     pages = { 155-176},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1207580349}
}

Lukkari, T. Elliptic equations with nonstandard growth involving measures. Hiroshima Math. J., Tome 38 (2008) no. 1, pp.  155-176. http://gdmltest.u-ga.fr/item/1207580349/