Differential and Integral Equations
- Differential Integral Equations
- Volume 32, Number 3/4 (2019), 139-168.
Local and global existence for evolutionary p-Laplacian equation with nonlocal source
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.
Differential Integral Equations, Volume 32, Number 3/4 (2019), 139-168.
First available in Project Euclid: 23 January 2019
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Shang, Haifeng; Song, Mengmeng. Local and global existence for evolutionary p-Laplacian equation with nonlocal source. Differential Integral Equations 32 (2019), no. 3/4, 139--168. https://projecteuclid.org/euclid.die/1548212427