Abstract
In this paper we use the modified method of potential wells to study the properties of solutions for a class of higher order nonlinear parabolic equations with p-Laplace term −(|ux|p−2ux)x and nonlocal source |u|q−1u−1∣Ω∣∫Ω|u|q−1udx. Global existence, uniqueness, blow up in finite time and asymptotic behavior of solutions will be proved under different initial conditions. Furthermore, a numerical example is given to illustrate the blow-up of solutions in finite time.
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 callMore From: Nonlinear Analysis: Theory, Methods & Applications
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.
