Global and Blow-up Solutions to a $p$-Laplace Equation with Nonlocal Source and Nonlocal Boundary Condition

Global and Blow-up Solutions to a $p$-Laplace Equation with Nonlocal Source and Nonlocal Boundary Condition

Year:    2010

Author:    Bin Guo, Yingjie Wei, Wenjie Gao

Communications in Mathematical Research , Vol. 26 (2010), Iss. 3 : pp. 280–288

Abstract

This paper deals with an evolution $p$-Laplace equation with nonlocal source subject to weighted nonlocal Dirichlet boundary conditions. We give sufficient conditions for the existence of global and non-global solutions.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2010-CMR-19163

Communications in Mathematical Research , Vol. 26 (2010), Iss. 3 : pp. 280–288

Published online:    2010-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    9

Keywords:    nonlocal boundary condition evolution $p$-Laplace nonlocal source blow-up.

Author Details

Bin Guo

Yingjie Wei

Wenjie Gao