Existence results for semilinear elliptic boundary value problems via topological methods

✍ Scribed by Toufik Moussaoui; Radu Precup

• Publisher: Elsevier Science
• Year: 2009
• Tongue: English
• Weight: 317 KB
• Volume: 22
• Category: Article
• ISSN: 0893-9659
• DOI: 10.1016/j.aml.2008.03.002

✦ Synopsis

In this work, existence and localization results for C 1 -solutions to elliptic Dirichlet boundary value problems are established. The approach is based on the nonlinear Leray-Schauder alternative.