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math.FA2025
Smoothness of weight sharply discards Lavrentiev's gap for double phase functionals
Michał Borowski
We show that the smoother the weight, the broader the range of exponents for which the Lavrentiev's gap is absent for the double phase functionals, i.e., $u \mapsto \int_Ω \left(|\…
math.OC2025
Convergence of projected stochastic approximation algorithm
Michał Borowski, Błażej Miasojedow
We study the Robbins-Monro stochastic approximation algorithm with projections on a hyperrectangle and prove its convergence. This work fills a gap in the convergence proof of the…