Hölder gradient regularity for the inhomogeneous normalized p(x)-Laplace equation
Siltakoski, J. (2022). Hölder gradient regularity for the inhomogeneous normalized p(x)-Laplace equation. Journal of Mathematical Analysis and Applications, 513(1), Article 126187. https://doi.org/10.1016/j.jmaa.2022.126187
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Journal of Mathematical Analysis and ApplicationsDate
2022Copyright
© 2022 The Author(s). Published by Elsevier Inc.
We prove the local gradient Hölder regularity of viscosity solutions to the inhomogeneous normalized p(x)-Laplace equation −Δp(x)Nu=f(x), where p is Lipschitz continuous, infp>1, and f is continuous and bounded.
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Elsevier Inc.ISSN Search the Publication Forum
0022-247XKeywords
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