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March/April 2019 Local and global existence for evolutionary p-Laplacian equation with nonlocal source
Haifeng Shang, Mengmeng Song
Differential Integral Equations 32(3/4): 139-168 (March/April 2019).

Abstract

This paper examines the existence and nonexistence of solutions on the Cauchy problem for the evolutionary p-Laplacian equation with nonlocal source. By a priori estimates, we establish the local existence, global existence and nonexistence of solutions for that Cauchy problem. In particular, a Fujita's type critical exponent is obtained, which extends several classical results to the problem considered here.

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Haifeng Shang. Mengmeng Song. "Local and global existence for evolutionary p-Laplacian equation with nonlocal source." Differential Integral Equations 32 (3/4) 139 - 168, March/April 2019.

Information

Published: March/April 2019
First available in Project Euclid: 23 January 2019

zbMATH: 07036979
MathSciNet: MR3909982

Subjects:
Primary: 35B33, 35K15, 35K55, 35K65

Rights: Copyright © 2019 Khayyam Publishing, Inc.

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Vol.32 • No. 3/4 • March/April 2019
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