Existence and nonexistence of solutions of asymptotically linear Klein-Gordon equation

In this article we study a nonlinear Klein-Gordon equation when the nonlinear term asymptotically linear at infinity. We used the Pohozaev manifold to separate a subspace of $H^1(\mathbb{R}^N)$ on a global existence region and on a blow up region.

Bibliographic Details
Main Authors: Paulo C. Carriao, Raquel Lehrer, Andre Vicente
Format: Article
Language:English
Published: Texas State University 2016-06-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2016/149/abstr.html