Nonexistence of global solutions for differential inequalities of Sobolev type

In this article we study three differential inequalities of Sobolev type. Using Pokhozhaev's nonlinear capacity method, we provide sufficient conditions for the nonexistence of global nontrivial weak solutions to these problems.

Bibliographic Details
Main Authors: Mohamed Jleli, Bessem Samet
Format: Article
Language:English
Published: Texas State University 2014-10-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2014/209/abstr.html