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On nonlocal -Laplacian equations

✍ Scribed by Xianling Fan

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
383 KB
Volume
73
Category
Article
ISSN
0362-546X

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✦ Synopsis

This paper deals with the nonlocal anisotropic -β†’ p (x)-Laplacian Dirichlet problems with non-variational form

and with variational form

where F (x, t) = t 0 f (x, s)ds, and a i is allowed to be singular at zero. Using (S + ) mapping theory and the variational method, some results on existence and multiplicity for the problems are obtained.

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