Brézis-Kato type regularity results for higher order elliptic operators
DOI:
https://doi.org/10.12775/TMNA.2024.027Keywords
Brézis-Kato theorem, higher order elliptic operators, elliptic regularity, polyharmonic operatorsAbstract
We prove Brézis-Kato regularity type results for solutions of the higher order nonlinear elliptic equation \[ L u = g(x,u)\quad\text{in }\Omega \] with an elliptic operator $L$ of $2m$ order with variable coefficients and a Carathéodory function $g\colon \Omega\times \C\to\C$, where $\Omega\subset\R^N$ is an open set with $N > 2m$.References
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