2 papers
math.AP2026
Absence of the Lavrentiev phenomenon for a general class of parabolic double phase problems
Youngchae Kim, Jehan Oh
In this paper, we prove the absence of the Lavrentiev phenomenon for a general class of parabolic double phase functionals with Orlicz growth. The energy density is given by $$ G(|…
math.AP2026
Absence of the Lavrentiev phenomenon for degenerate parabolic double phase problems
Bogi Kim, Youngchae Kim, Jehan Oh
We establish the absence of the Lavrentiev phenomenon for degenerate parabolic double phase problems. Any finite-energy function in the natural parabolic class admits smooth approx…