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Nonlinear anisotropic elliptic and parabolic equations with variable exponents and $L^1$ data

โœ Scribed by Bendahmane, Mostafa; Karlsen, Kenneth; Saad, Mazen


Book ID
125842340
Publisher
American Institute of Mathematical Sciences
Year
2013
Tongue
English
Weight
435 KB
Volume
12
Category
Article
ISSN
1534-0392

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Existence and uniqueness of renormalized
โœ P. Wittbold; A. Zimmermann ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 977 KB

We prove the existence and uniqueness of a renormalized solution to nonlinear elliptic equations with variable exponents and L 1 -data. The functional setting involves Sobolev spaces with variable exponents W 1,p(โ€ข) (โ„ฆ).