A solution to a fractional order semilinear equation using variational method

We will discuss how we obtain a solution to a semilinear pseudo-differential equation involving fractional power of laplacian by using a method analogous to the direct method of calculus of variations. More precisely, we will discuss the existence of a minimizer of a suitable energy type functional...

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Bibliographic Details
Main Authors: Ramesh Karki, Young Hwan You
Format: Article
Language:English
Published: Western Libraries 2020-11-01
Series:Mathematics in Applied Sciences and Engineering
Online Access:https://ojs.lib.uwo.ca/index.php/mase/article/view/9413