科研之友
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摘要
We consider the pseudo-p-Laplacian operator:
(Delta) over bar (p)u = Sigma(N)(i=1) partial derivative(i)(vertical bar partial derivative(i)u vertical bar(p-2)partial derivative(i)u) = (p - 1) Sigma(N)(i=1)(vertical bar partial derivative(i)u vertical bar(p-2)partial derivative(ii)u for p > 2.
We prove interior regularity results for the viscosity (resp. weak) solutions in the unit ball B-1 of (Delta) over tilde (p)u = (p - 1)f for f is an element of C((B-1) over bar) (resp. f is an element of L-infinity (B-1)). First, the Holder local regularity for any exponent gamma < 1, recovering in that way a known result about weak solutions. Second, we prove the Lipschitz local regularity.
- 出版日期2016-4
