On minimization of one integral functional by the Ritz method
Using the variational method, we investigate a nonlinear problem with a Bernoulli condition in the form of an inequality on a free boundary. We prove a solvability theorem and establish the convergence of an approximate solution obtained by the Ritz method to the exact solution in certain metrics.
English version (Springer): Ukrainian Mathematical Journal 58 (2006), no. 10, pp 1570-1581.
Citation Example: Minenko A. S. On minimization of one integral functional by the Ritz method // Ukr. Mat. Zh. - 2006. - 58, № 10. - pp. 1385–1394.