A1 Vertaisarvioitu alkuperäisartikkeli tieteellisessä lehdessä
Minimizers of abstract generalized Orlicz-bounded variation energy
Tekijät: Eleuteri Michela, Harjulehto Petteri, Hästö Peter
Kustantaja: Wiley
Julkaisuvuosi: 2022
Journal: Mathematical Methods in the Applied Sciences
Tietokannassa oleva lehden nimi: MATHEMATICAL METHODS IN THE APPLIED SCIENCES
Lehden akronyymi: MATH METHOD APPL SCI
Sivujen määrä: 15
ISSN: 0170-4214
eISSN: 1099-1476
DOI: https://doi.org/10.1002/mma.9042
Verkko-osoite: https://onlinelibrary.wiley.com/doi/10.1002/mma.9042
Rinnakkaistallenteen osoite: https://research.utu.fi/converis/portal/detail/Publication/178878073
Preprintin osoite: https://arxiv.org/abs/2112.06622
A way to measure the lower growth rate of phi : Omega x [0, infinity) -> [0, infinity) is to require t (sic) phi (x, t)t(-r) to be increasing in (0, infinity). If this condition holds with r = 1, theninf (u is an element of f+W1,phi (Omega)) integral(Omega) phi(x, vertical bar del u vertical bar) dxwith boundary values f is an element of W-1,W-phi (Omega) does not necessarily have a minimizer. However, if phi is replaced by phi(p), then the growth condition holds with r = p > 1 and thus (under some additional conditions) the corresponding energy integral has a minimizer. We show that a sequence (u(p)) of such minimizers converges when p -> 1(+) in a suitable BV-type space involving generalized Orlicz growth and obtain the Gamma-convergence of functionals with fixed boundary values and of functionals with fidelity terms.
Ladattava julkaisu This is an electronic reprint of the original article. |  |
