Abstract
This paper is concerned with a variational inequality with a time-dependent constraint, which arises from some macroscopic models of type-II superconductivity, as well as its approximate problems associated with generalized p-Laplace operators. We prove the existence and uniqueness of solutions for each problem by establishing an abstract theory for doubly nonlinear evolution equations governed by two time-dependent subdifferential operators in reflexive Banach spaces.
Original language | English |
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Pages (from-to) | e1155-e1166 |
Journal | Nonlinear Analysis, Theory, Methods and Applications |
Volume | 63 |
Issue number | 5-7 |
DOIs | |
Publication status | Published - 2005 Nov 30 |
Externally published | Yes |
Keywords
- Bean's critical-state model
- Doubly nonlinear evolution equation
- Subdifferential operator
ASJC Scopus subject areas
- Analysis
- Applied Mathematics