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Existence and some properties of solutions for degenerate elliptic equations with exponent variable

✍ Scribed by Ho, Ky; Sim, Inbo

Book ID
122286933
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
461 KB
Volume
98
Category
Article
ISSN
0362-546X

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πŸ“œ SIMILAR VOLUMES

Existence of solutions for nonlinear ell
Existence of solutions for nonlinear elliptic degenerate equations
✍ A. Benkirane; J. Bennouna πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 274 KB

In this paper, we study the problem -div a(x; u; βˆ‡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.

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Existence of solutions for degenerate quasilinear elliptic equations
✍ Weilin Zou; Fengquan Li πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 390 KB

This paper deals with a class of degenerate quasilinear elliptic equations of the form -div(a(x, u, βˆ‡u) = gdiv(f ), where a(x, u, βˆ‡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