E. V. Bozhonok

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Articles: 1

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

MFAT 13 (2007), no. 3, 262-266

262-266

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 $W_{2}^{1}$.

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