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math.AP2025
Hodge Decomposition and Potentials in Variable Exponent Lebesgue and Sobolev Spaces
Anna Balci, Swarnendu Sil, Mikhail Surnachev
The objective of this work is to establish a systematic study of boundary value problems within the framework of differential forms and variable exponent spaces. Specifically, we i…
math.AP2023
The Lavrentiev phenomenon in calculus of variations with differential forms
Anna Kh. Balci, Mikhail Surnachev
In this article we study convex non-autonomous variational problems with differential forms and corresponding function spaces. We introduce a general framework for constructing cou…