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Estimates for the p-Laplacian-type operator in the subcritical Sobolev exponent range |
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| Authors: | Sun-Sig Byun Moonhyun Heo Wontae Kim |
| Institution: | 1. Department of Mathematical Sciences, Seoul National University, Seoul, Republic of Korea
Research Institute of Mathematics, Seoul National University, Seoul, Republic of Korea;2. Department of Mathematical Sciences, Seoul National University, Seoul, Republic of Korea;3. Research Institute of Mathematics, Seoul National University, Seoul, Republic of Korea |
| Abstract: | We obtain Calderón–Zygmund-type gradient estimates below the duality exponent of very weak solutions to p-Laplacian-type elliptic equations with non-divergence datum by providing an analytic approach without using the fractional maximal function of order 1 for the non-divergence datum. |
| Keywords: | Calderón–Zygmund-type estimates non-divergence datum p-Laplace equations |