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Solvability of Dirichlet problem for a class of degenerate anisotropic equations with -right-hand sides

✍ Scribed by Alexander Kovalevsky; Francesco Nicolosi

Publisher: Elsevier Science
Year: 2004
Tongue: English
Weight: 278 KB
Volume: 59
Category: Article
ISSN: 0362-546X
DOI: 10.1016/j.na.2004.07.017

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✦ Synopsis

We study Dirichlet problem for a class of degenerate anisotropic nonlinear elliptic fourth order equations with L 1 -right-hand sides. Anisotropic and degenerate character of the equations under consideration is expressed by the presence in their coefficients of different exponents and weighted functions associated to the first and second order derivatives of unknown function. Under some hypotheses on the involved exponents and weighted functions we prove existence of so-called H , -solution and H-solution of the given problem.

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