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Existence of multiple solutions of higher-order nonlinear elliptic equations

✍ Scribed by V. F. Lubyshev

Book ID: 110149892
Publisher: SP MAIK Nauka/Interperiodica
Year: 2011
Tongue: English
Weight: 614 KB
Volume: 89
Category: Article
ISSN: 0001-4346
DOI: 10.1134/s0001434611010317

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In this paper, we study the problem -div a(x; u; ∇u) -div (u) + g(x; u) = f in in the setting of the weighted sobolev space W 1;p 0 ( ; ). The main novelty of our work is L ∞ estimates on the solutions, and the existence of a weak and renormalized solution.