A remark on Bony maximum principle
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- by P.-L. Lions PDF
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Abstract:
We extend a result due to J. M. Bony concerning a form of the classical maximum principle adapted to Sobolev spaces. We treat the case of the limiting exponent and show that the result is optimal. We give various applications to nonlinear elliptic partial differential equations.References
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Additional Information
- © Copyright 1983 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 88 (1983), 503-508
- MSC: Primary 35J65; Secondary 35B50
- DOI: https://doi.org/10.1090/S0002-9939-1983-0699422-3
- MathSciNet review: 699422