Comparison principles and Lipschitz regularity for some nonlinear degenerate elliptic equations
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 to...
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| Format: | Journal article |
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Springer Berlin Heidelberg
2018
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| _version_ | 1797106093986414592 |
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| author | Li, Y Nguyen, L Wang, B |
| author_facet | Li, Y Nguyen, L Wang, B |
| author_sort | Li, Y |
| collection | OXFORD |
| description | 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. |
| first_indexed | 2024-03-07T06:56:49Z |
| format | Journal article |
| id | oxford-uuid:fe6a4084-1163-4892-b39b-60a2a104c69e |
| institution | University of Oxford |
| last_indexed | 2024-03-07T06:56:49Z |
| publishDate | 2018 |
| publisher | Springer Berlin Heidelberg |
| record_format | dspace |
| spelling | oxford-uuid:fe6a4084-1163-4892-b39b-60a2a104c69e2022-03-27T13:36:15ZComparison principles and Lipschitz regularity for some nonlinear degenerate elliptic equationsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:fe6a4084-1163-4892-b39b-60a2a104c69eSymplectic Elements at OxfordSpringer Berlin Heidelberg2018Li, YNguyen, LWang, BWe 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. |
| spellingShingle | Li, Y Nguyen, L Wang, B Comparison principles and Lipschitz regularity for some nonlinear degenerate elliptic equations |
| title | Comparison principles and Lipschitz regularity for some nonlinear degenerate elliptic equations |
| title_full | Comparison principles and Lipschitz regularity for some nonlinear degenerate elliptic equations |
| title_fullStr | Comparison principles and Lipschitz regularity for some nonlinear degenerate elliptic equations |
| title_full_unstemmed | Comparison principles and Lipschitz regularity for some nonlinear degenerate elliptic equations |
| title_short | Comparison principles and Lipschitz regularity for some nonlinear degenerate elliptic equations |
| title_sort | comparison principles and lipschitz regularity for some nonlinear degenerate elliptic equations |
| work_keys_str_mv | AT liy comparisonprinciplesandlipschitzregularityforsomenonlineardegenerateellipticequations AT nguyenl comparisonprinciplesandlipschitzregularityforsomenonlineardegenerateellipticequations AT wangb comparisonprinciplesandlipschitzregularityforsomenonlineardegenerateellipticequations |