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Elliptic equations, multivalued -dependent graphs and Orlicz spaces

✍ Scribed by Grzegorz Jamróz

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

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📜 SIMILAR VOLUMES

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## Abstract We consider elliptic and parabolic systems with multivalued __x__‐dependent graphs. The existence of solutions for elliptic equation was established in (__Ann. Inst. H. Poincare Anal. Non Linéaire__ 1990; **7**(3):123–160; __Boll. Unione Mat. Ital. Sez. B Artic. Ric. Mat.__ (__8__) 2004

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## Abstract Stein and Taibleson gave a characterization for __f__ ϵ L~p~(ℝ__^n^__) to be in the spaces Lip (α, __L~p~__) and __Zyg__(α__, L~p~__) in terms of their Poisson integrals. In this paper we extend their results to Lipschitz‐Orlicz spaces __Lip__ (α__, L~m~__) and Zygmund‐Orlicz spaces __Z