LAUSR.org creates dashboard-style pages of related content for over 1.5 million academic articles. Sign Up to like articles & get recommendations!

Non-existence of positive solutions to nonlocal Lane-Emden equations

Photo from wikipedia

Abstract This paper is concerned with non-existence of positive solutions to nonlocal Lane-Emden equations. Firstly, we establish the “Fujita index” for nonlocal reaction-diffusion equations, which is new in the blowup… Click to show full abstract

Abstract This paper is concerned with non-existence of positive solutions to nonlocal Lane-Emden equations. Firstly, we establish the “Fujita index” for nonlocal reaction-diffusion equations, which is new in the blowup theory. Then the non-existence of positive solutions to nonlocal Lane-Emden equations is obtained because they are the limit (stationary) equations to the corresponding nonlocal reaction-diffusion equations.

Keywords: nonlocal lane; solutions nonlocal; positive solutions; existence positive; lane emden; non existence

Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2020

Link to full text (if available)


Share on Social Media:                               Sign Up to like & get
recommendations!

Related content

More Information              News              Social Media              Video              Recommended



                Click one of the above tabs to view related content.