Estimates for weighted eigenvalues of fourth-order elliptic operator with variable coefficients

• Дата: 2011
• Автори: Sun, He-Jun, Сун, Хе-Джун
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2011
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/2780
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We investigate the Dirichlet weighted eigenvalue problem for a fourth-order elliptic operator with variable coefficients in a bounded domain in $R^n$. We establish a sharp inequality for its eigenvalues. It yields an estimate for the upper bound of the $(k + 1)$-th eigenvalue in terms of the first...