Abstract
in bounded domains ~ of R n. Besides certain mild differentiability restrictions on the structure of A, it is assumed only that B is an increasing function of its second argument. We shall also establish a related comparison theorem for solutions of elliptic type differential inequalities, and indicate various methods for reducing the degree of smoothness required. In order to exhibit the ideas more clearly, we present in Section 1 a simple special case of the uniqueness theorem with sufficient regularity assumptions to remove most of the technicalities. Section 2 contains the main results of the paper, as noted above. It is of interest that uniqueness does not in general hold for elliptic equations of the non-divergence form
Sign-in/Register to access full text options 
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 callDisclaimer: 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.
