Supplies a counterexample showing inconsistencies in Lavrentiev's original proof and gives a new complete proof that the Lavrentiev phenomenon is absent in one dimension under the stated conditions.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.CA 1years
2024 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Revisiting the Lavrentiev Phenomenon in One Dimension
Supplies a counterexample showing inconsistencies in Lavrentiev's original proof and gives a new complete proof that the Lavrentiev phenomenon is absent in one dimension under the stated conditions.