On solutions to "almost everywhere" - Euler-Lagrange equation in Sobolev space $W_2^1$

Authors

  • E. V. Bozhonok Mathematics and Computer Science Department, Taurida National V. Vernads'ky University, 4 Vernads'ky Ave., Simferopol', 95007, Ukraine 

DOI:

Keywords:

Abstract

It is known, that if the Euler--Lagrange variational equation is fulfilled everywhere in classical case $C^1$ then it's solution is twice continuously differentiable. The present note is devoted to the study of a similar problem for the Euler--Lagrange equation in the Sobolev space $W_{2}^{1}$.

Downloads

Published

2007-09-25

Issue

Vol. 13 No. 3 (2007)

Section

Articles

How to Cite

Bozhonok, E. V. “On Solutions to ‘almost Everywhere’ - Euler-Lagrange Equation in Sobolev Space $W_2^1$”. Methods of Functional Analysis and Topology, vol. 13, no. 3, Sept. 2007, pp. 262-6, https://zen.imath.kiev.ua/index.php/mfat/article/view/353.