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摘要
Building on the a priori estimates established in [3], we obtain a priori estimates for classical solutions to elliptic problems with Dirichlet boundary conditions on regions with convex-starlike boundary. This includes ring-like regions. Arguments that go back to [4] are used to prove a priori bounds near the convex part of the boundary. Using that the boundary term in the Pohozaev identity on the boundary of a star-like region does not change sign, the proof is concluded.
- 出版日期2017-5
