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Global regularity of solutions to quasilinear conormal derivative problem with controlled growth

김도윤
대한수학회 (The Korean Mathematical Society)|2012.11|대한수학회지 (Journal of the KMS)|제49권 제6호|pp. 1273-1299

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참고문헌

키워드

Sobolev spacesquasilinear elliptic equationsconormal derivative boundary value problemBMO coefficients
주제분류수학

초록

We prove the global regularity of weak solutions to a conormal derivative boundary value problem for quasilinear elliptic equations in divergence form on Lipschitz domains under the controlled growth conditions on the low order terms. The leading coefficients are in the class of BMO functions with small mean oscillations.

Abstract

We prove the global regularity of weak solutions to a conormal derivative boundary value problem for quasilinear elliptic equations in divergence form on Lipschitz domains under the controlled growth conditions on the low order terms. The leading coefficients are in the class of BMO functions with small mean oscillations.

참고문헌 (18)

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