Counterexamples for p-Laplacian equations showing that $C^{1,\alpha}$ is the best regularity.

Asked Dec 21 '13 at 13:20

Active Dec 21 '13 at 13:20

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It is well known that the weak solutions of p-Laplacian equations are $C^{1,\alpha}$. Do they have more regularity? I have heard that no more regularity can be obtained. But I can't find the counterexamples.

asked Dec 21 '13 at 13:20

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Here you can find a family of examples: http://dmle.cindoc.csic.es/pdf/MATEMATICAIBEROAMERICANA_1989_05_01-02_01.pdf – Tomás Dec 21 '13 at 15:30
You are welcome. – Tomás Dec 22 '13 at 14:46

Counterexamples for p-Laplacian equations showing that $C^{1,\alpha}$ is the best regularity.

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