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Existence of solutions for a class of degenerate quasilinear elliptic equation inwith vanishing potentials

✍ Scribed by Bastos, Waldemar D; Miyagaki, Olimpio H; Vieira, Rônei S


Book ID
120397472
Publisher
Springer International Publishing AG
Year
2013
Tongue
English
Weight
338 KB
Volume
2013
Category
Article
ISSN
1687-2762

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Existence of solutions for degenerate qu
✍ Weilin Zou; Fengquan Li 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 390 KB

This paper deals with a class of degenerate quasilinear elliptic equations of the form -div(a(x, u, ∇u) = gdiv(f ), where a(x, u, ∇u) is allowed to be degenerate with the unknown u. We prove existence of bounded solutions under some hypothesis on f and g. Moreover we prove that there exists a renor