Existence and uniqueness of renormalized solutions to nonlinear elliptic equations with variable exponents and -data

✍ Scribed by P. Wittbold; A. Zimmermann

• Publisher: Elsevier Science
• Year: 2010
• Tongue: English
• Weight: 977 KB
• Volume: 72
• Category: Article
• ISSN: 0362-546X
• DOI: 10.1016/j.na.2009.11.041

✦ Synopsis

We prove the existence and uniqueness of a renormalized solution to nonlinear elliptic equations with variable exponents and L 1 -data. The functional setting involves Sobolev spaces with variable exponents W 1,p(•) (Ω).