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An existence theorem for non-homogeneous differential inclusions in Sobolev spaces. / Mandallena, Jean Philippe; Sychev, Mikhail.

In: Advances in Calculus of Variations, Vol. 14, No. 3, 01.07.2021, p. 313-326.

Research output: Contribution to journal › Article › peer-review

Harvard

Mandallena, JP & Sychev, M 2021, 'An existence theorem for non-homogeneous differential inclusions in Sobolev spaces', Advances in Calculus of Variations, vol. 14, no. 3, pp. 313-326. https://doi.org/10.1515/acv-2018-0076

APA

Mandallena, J. P., & Sychev, M. (2021). An existence theorem for non-homogeneous differential inclusions in Sobolev spaces. Advances in Calculus of Variations, 14(3), 313-326. https://doi.org/10.1515/acv-2018-0076

Vancouver

Mandallena JP, Sychev M. An existence theorem for non-homogeneous differential inclusions in Sobolev spaces. Advances in Calculus of Variations. 2021 Jul 1;14(3):313-326. doi: 10.1515/acv-2018-0076

Author

Mandallena, Jean Philippe ; Sychev, Mikhail. / An existence theorem for non-homogeneous differential inclusions in Sobolev spaces. In: Advances in Calculus of Variations. 2021 ; Vol. 14, No. 3. pp. 313-326.

BibTeX

@article{d33efeebe67e43fa8ff37e573eb30f14,
title = "An existence theorem for non-homogeneous differential inclusions in Sobolev spaces",
abstract = "In the present paper, we establish an existence theorem for non-homogeneous differential inclusions in Sobolev spaces. This theorem extends the results of M{\"u}ller and Sychev [S. M{\"u}ller and M. A. Sychev, Optimal existence theorems for nonhomogeneous differential inclusions, J. Funct. Anal. 181 2001, 2, 447-475; M. A. Sychev, Comparing various methods of resolving differential inclusions, J. Convex Anal. 18 2011, 4, 1025-1045] obtained in the setting of Lipschitz functions. We also show that solutions can be selected with the property of higher regularity.",
keywords = "Baire category, convex integration, higher regularity, ind functional, Non-homogeneous differential inclusions, sequences obtained by perturbation",
author = "Mandallena, {Jean Philippe} and Mikhail Sychev",
note = "Publisher Copyright: {\textcopyright} 2021 Walter de Gruyter GmbH, Berlin/Boston .",
year = "2021",
month = jul,
day = "1",
doi = "10.1515/acv-2018-0076",
language = "English",
volume = "14",
pages = "313--326",
journal = "Advances in Calculus of Variations",
issn = "1864-8258",
publisher = "Walter de Gruyter GmbH",
number = "3",

}

RIS

TY - JOUR

T1 - An existence theorem for non-homogeneous differential inclusions in Sobolev spaces

AU - Mandallena, Jean Philippe

AU - Sychev, Mikhail

N1 - Publisher Copyright: © 2021 Walter de Gruyter GmbH, Berlin/Boston .

PY - 2021/7/1

Y1 - 2021/7/1

N2 - In the present paper, we establish an existence theorem for non-homogeneous differential inclusions in Sobolev spaces. This theorem extends the results of Müller and Sychev [S. Müller and M. A. Sychev, Optimal existence theorems for nonhomogeneous differential inclusions, J. Funct. Anal. 181 2001, 2, 447-475; M. A. Sychev, Comparing various methods of resolving differential inclusions, J. Convex Anal. 18 2011, 4, 1025-1045] obtained in the setting of Lipschitz functions. We also show that solutions can be selected with the property of higher regularity.

AB - In the present paper, we establish an existence theorem for non-homogeneous differential inclusions in Sobolev spaces. This theorem extends the results of Müller and Sychev [S. Müller and M. A. Sychev, Optimal existence theorems for nonhomogeneous differential inclusions, J. Funct. Anal. 181 2001, 2, 447-475; M. A. Sychev, Comparing various methods of resolving differential inclusions, J. Convex Anal. 18 2011, 4, 1025-1045] obtained in the setting of Lipschitz functions. We also show that solutions can be selected with the property of higher regularity.

KW - Baire category

KW - convex integration

KW - higher regularity

KW - ind functional

KW - Non-homogeneous differential inclusions

KW - sequences obtained by perturbation

UR - http://www.scopus.com/inward/record.url?scp=85069790597&partnerID=8YFLogxK

U2 - 10.1515/acv-2018-0076

DO - 10.1515/acv-2018-0076

M3 - Article

AN - SCOPUS:85069790597

VL - 14

SP - 313

EP - 326

JO - Advances in Calculus of Variations

JF - Advances in Calculus of Variations

SN - 1864-8258

IS - 3

ER -

ID: 21046802