A counterexample to the "hot spots" conjecture
英文摘要：
We construct a counterexample to the ``hot spots'' conjecture; there exists a bounded connected planar domain (with two holes) such that the second eigenvalue of the Laplacian in that domain with Neumann boundary conditions is simple and such that the corresponding eigenfunction attains its strict maximum at an interior point of that domain.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
