Regularity of Weak Solutions of Semilinear Elliptic Differential Equations

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概要

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• We consider elliptic systems of semilinear differential equations with nonlinearity of polynomial growth. We then prove that any locally $p$-integrable weak solution is smooth if $p\gg1$. We give a lower bound, optimal in the general setting, of the exponent $p$.

• 東京大学の論文

著者

• Uchida Motoo

  Department Of Mathematics Faculty Of Science University Of Tokyo

• Uchida Motoo

  Department Of Mathematics Graduate School Of Science Osaka University

関連論文

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