Journal article
Comparison principles and Lipschitz regularity for some nonlinear degenerate elliptic equations
- Abstract:
- We establish interior Lipschitz regularity for continuous viscosity solutions of fully nonlinear, conformally invariant, degenerate elliptic equations. As a by-product of our method, we also prove a weak form of the strong comparison principle, which we refer to as the principle of propagation of touching points, for operators of the form ∇2ψ + L(x, ψ, ∇ψ) which are non-decreasing in ψ.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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- Files:
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(Accepted manuscript, pdf, 382.0KB)
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- Publisher copy:
- 10.1007/s00526-018-1369-z
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Authors
Bibliographic Details
- Publisher:
- Springer Berlin Heidelberg Publisher's website
- Journal:
- Calculus of Variations and Partial Differential Equations Journal website
- Volume:
- 57
- Issue:
- 4
- Article number:
- 96
- Publication date:
- 2018-06-11
- Acceptance date:
- 2018-05-12
- DOI:
- EISSN:
-
1432-0835
- ISSN:
-
0944-2669
- Source identifiers:
-
847690
Item Description
- Keywords:
- Pubs id:
-
pubs:847690
- UUID:
-
uuid:fe6a4084-1163-4892-b39b-60a2a104c69e
- Local pid:
- pubs:847690
- Deposit date:
- 2018-05-18
Terms of use
- Copyright holder:
- Springer-Verlag GmbH Germany, part of Springer Nature
- Copyright date:
- 2018
- Notes:
- Copyright © 2018 Springer-Verlag GmbH Germany, part of Springer Nature. This is the accepted manuscript version of the article. The final version is available online from Springer at: https://doi.org/10.1007/s00526-018-1369-z
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