Evolution p-Laplacian equations with nonlinear source and measure data

Abstract

In this article we study the existence of solutions for the evolution p-Laplacian equation with strongly nonlinear sources for initial values prescribed as measures.

Keywords:

• cauchy problem
• p-Laplacian equation
• nonlinear source
• Measures as initial data

AMS Subject Classifications:

• 35K15
• 35K55

Acknowledgement

The author would like to thank the referee for some helpful suggestions which improved the presentation of the original manuscript.