Abstract
In subdomains of (Formula presented.) we consider uniformly elliptic equations (Formula presented.) with the growth of H with respect to (Formula presented.) controlled by the product of a function from Ld and (Formula presented.) The dependence of H on x is assumed to be of BMO type. Among other things we prove that there exists (Formula presented.) such that for any (Formula presented.) the equation with prescribed continuous boundary data has a solution in class (Formula presented.) Our results are new even if H is linear.
Original language | English (US) |
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Pages (from-to) | 1778-1798 |
Number of pages | 21 |
Journal | Communications in Partial Differential Equations |
Volume | 45 |
Issue number | 12 |
DOIs | |
State | Published - Aug 14 2020 |
Bibliographical note
Publisher Copyright:© 2020 Taylor & Francis Group, LLC.
Keywords
- Fully nonlinear equations
- interior estimates
- solvability
- unbounded coefficients