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Existence of solutions for the Dirichlet problem of some degenerate semilinear elliptic equations

โœ Scribed by Albo Carlos Cavalheiro

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
413 KB
Volume
23
Category
Article
ISSN
0893-9659

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โœฆ Synopsis

In this work we are interested in the existence of solutions for Dirichlet problems associated with the degenerate semilinear elliptic equations

in the setting of the weighted Sobolev spaces W 1,2 0 (โ„ฆ, ฯ‰).

๐Ÿ“œ SIMILAR VOLUMES

Existence of solutions for degenerate qu
Existence of solutions for degenerate quasilinear elliptic equations
โœ Weilin Zou; Fengquan Li ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 390 KB

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

Existence of solutions for nonlinear ell
Existence of solutions for nonlinear elliptic degenerate equations
โœ A. Benkirane; J. Bennouna ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 274 KB

In this paper, we study the problem -div a(x; u; โˆ‡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 โˆž estimates on the solutions, and the existence of a weak and renormalized solution.