Regularity of solutions to degenerate fully nonlinear elliptic equations with variable exponent
| Autor: | Chao Zhang, Yuzhou Fang, Vicentiu Radulescu |
|---|---|
| Rok vydání: | 2021 |
| Předmět: | |
| Zdroj: | Bulletin of the London Mathematical Society. 53:1863-1878 |
| ISSN: | 1469-2120 0024-6093 |
| Popis: | We consider the fully nonlinear equation with variable-exponent double phase type degeneracies $$ \big[|Du|^{p(x)}+a(x)|Du|^{q(x)}\big]F(D^2u)=f(x). $$ Under some appropriate assumptions, by making use of geometric tangential methods and combing a refined improvement-of-flatness approach with compactness and scaling techniques we obtain the sharp local $C^{1,\alpha}$ regularity of viscosity solutions to such equations. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Plný text