Abstract

A CONSIDERABLE amount of work has been devoted, in recent years, to stationary free boundary problems. In particular, obstacle problems have been the subject of extensive work concerning existence, estimates and regularity of the solution or of the coincidence set, and occurrence of multiple solutions. In [6, 8, 161 the authors consider obstacle problems with nonlinear forcing terms, leading to multiple solutions, hence to turning points when a real parameter appears in the forcing term. A local study of the branches of solutions is set up; the results obtained are the extension, in a weaker form, of those well known for equations [ll, 12). However, some important classical questions remain open for obstacle problems:

Full Text
Paper version not known

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.