𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Existence of solutions in weighted Sobolev spaces for some degenerate semilinear elliptic equations

✍ Scribed by A.C Cavalheiro


Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
228 KB
Volume
17
Category
Article
ISSN
0893-9659

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Multiple positive solutions for semiline
✍ Xiao-Jiao Huang; Xing-Ping Wu; Chun-Lei Tang πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 250 KB

The existence and multiplicity of positive solutions are obtained for a class of semilinear elliptic equations with critical weighted Hardy-Sobolev exponents and the concaveconvex nonlinearity by variational methods and some analysis techniques.

Existence of solutions for degenerate qu
✍ 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

Existence of solutions for nonlinear ell
✍ 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.