Esposito A, Leonetti F, Petricca PV (2019)
Publication Language: English
Publication Status: Published
Publication Type: Journal article
Publication year: 2019
Publisher: WALTER DE GRUYTER GMBH
Book Volume: 8
Pages Range: 73-78
Journal Issue: 1
We consider non-autonomous functionals of the form F(u, Omega) =integral(Omega) f(x, Du(x))dx, where u : Omega -> R-N, Omega subset of R-n. We assume that f(x, z) grows at least as vertical bar z vertical bar(p) and at most as vertical bar z vertical bar(q). Moreover, f(x, z) is Holder continuous with respect to x and convex with respect to z. In this setting, we give a sufficient condition on the density f(x, z) that ensures the absence of a Lavrentiev gap.
APA:
Esposito, A., Leonetti, F., & Petricca, P.V. (2019). Absence of Lavrentiev gap for non-autonomous functionals with (p, q)-growth. Advances in Nonlinear Analysis, 8(1), 73-78. https://doi.org/10.1515/anona-2016-0198
MLA:
Esposito, Antonio, Francesco Leonetti, and Pier Vincenzo Petricca. "Absence of Lavrentiev gap for non-autonomous functionals with (p, q)-growth." Advances in Nonlinear Analysis 8.1 (2019): 73-78.
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