Remarks on regularity for p-Laplacian type equations in non-divergence form
Attouchi, A., & Ruosteenoja, E. (2018). Remarks on regularity for p-Laplacian type equations in non-divergence form. Journal of Differential Equations, 265(5), 1922-1961. https://doi.org/10.1016/j.jde.2018.04.017
Published inJournal of Differential Equations
© 2018 Elsevier Inc.
We study a singular or degenerate equation in non-divergence form modeled on the p-Laplacian, −|Du|γ(Δu+(p−2)Δ∞ Nu)=finΩ. We investigate local C1,α regularity of viscosity solutions in the full range γ>−1 and p>1, and provide local W2,2 estimates in the restricted cases where p is close to 2 and γ is close to 0.
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Related funder(s)Academy of Finland
Funding program(s)Postdoctoral Researcher, AoF
Additional information about fundingA.A. is supported by the Academy of Finland, project number 307870.
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