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Non-existence of entire solutions of degenerate elliptic inequalities with weights

โœ Scribed by Filippucci R., Pucci P., Rigoli M.


Book ID
127403836
Year
2000
Tongue
English
Weight
277 KB
Category
Library

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๐Ÿ“œ SIMILAR VOLUMES


Existence of solutions for nonlinear ell
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.

Existence of solutions for degenerate qu
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