Górka, Przemysław; Karak, Nijjwal; Pons, Daniel J. Variable exponent Sobolev spaces and regularity of domains. II. (English) Zbl 07932537 Rev. Mat. Complut. 37, No. 3, 695-711 (2024). MSC: 46E35 46E30 × Cite Format Result Cite Review PDF Full Text: DOI
Balci, Anna Kh.; Ortner, Christoph; Storn, Johannes Crouzeix-Raviart finite element method for non-autonomous variational problems with Lavrentiev gap. (English) Zbl 1501.65105 Numer. Math. 151, No. 4, 779-805 (2022). MSC: 65N30 65N12 49S05 49J45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Górka, Przemysław; Karak, Nijjwal; Pons, Daniel J. Variable exponent Sobolev spaces and regularity of domains. (English) Zbl 1482.46037 J. Geom. Anal. 31, No. 7, 7304-7319 (2021). MSC: 46E35 46E30 × Cite Format Result Cite Review PDF Full Text: DOI
Balci, Anna Kh.; Diening, Lars; Surnachev, Mikhail New examples on Lavrentiev gap using fractals. (English) Zbl 1453.35082 Calc. Var. Partial Differ. Equ. 59, No. 5, Paper No. 180, 33 p. (2020). Reviewer: Paolo Musolino (Padova) MSC: 35J60 46E35 35J20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Baalal, Azeddine; Berghout, Mohamed Density properties for fractional Sobolev spaces with variable exponents. (English) Zbl 1432.46018 Ann. Funct. Anal. 10, No. 3, 308-324 (2019). Reviewer: Jiří Rákosník (Praha) MSC: 46E35 × Cite Format Result Cite Review PDF Full Text: DOI Euclid HAL
Lindgren, Erik Hölder estimates for viscosity solutions of equations of fractional \(p\)-Laplace type. (English) Zbl 1380.35097 NoDEA, Nonlinear Differ. Equ. Appl. 23, No. 5, Paper No. 55, 18 p. (2016). Reviewer: Alessandro Selvitella (Ottawa) MSC: 35J60 35J70 35R11 35B65 35D40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ok, Jihoon Calderón-Zygmund estimates for a class of obstacle problems with nonstandard growth. (English) Zbl 1358.35048 NoDEA, Nonlinear Differ. Equ. Appl. 23, No. 4, Paper No. 50, 21 p. (2016). Reviewer: Vincenzo Vespri (Firenze) MSC: 35J92 35J20 35B65 × Cite Format Result Cite Review PDF Full Text: DOI
Hakkarainen, Heikki; Nuortio, Matti The variable exponent Sobolev capacity and quasi-fine properties of Sobolev functions in the case \(p^-=1\). (English) Zbl 1347.46025 J. Math. Anal. Appl. 412, No. 1, 168-180 (2014). Reviewer: Jiří Rákosník (Praha) MSC: 46E35 31B15 × Cite Format Result Cite Review PDF Full Text: DOI
Habermann, Jens Partial regularity for nonlinear elliptic systems with continuous growth exponent. (English) Zbl 1278.35078 Ann. Mat. Pura Appl. (4) 192, No. 3, 475-527 (2013). Reviewer: Junichi Aramaki (Saitama) MSC: 35J48 35B65 × Cite Format Result Cite Review PDF Full Text: DOI
Jia, Huilian; Li, Dongsheng; Wang, Lihe Global regularity for divergence form elliptic equations in Orlicz spaces on quasiconvex domains. (English) Zbl 1206.35250 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 4, 1336-1344 (2011). MSC: 35R15 35J25 35B65 35D30 × Cite Format Result Cite Review PDF Full Text: DOI
Harjulehto, Petteri; Hästö, Peter; Lê, Út V.; Nuortio, Matti Overview of differential equations with non-standard growth. (English) Zbl 1188.35072 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 12, 4551-4574 (2010). MSC: 35J60 35J20 46E35 × Cite Format Result Cite Review PDF Full Text: DOI
Eleuteri, Michela; Habermann, Jens Regularity results for a class of obstacle problems under nonstandard growth conditions. (English) Zbl 1147.49028 J. Math. Anal. Appl. 344, No. 2, 1120-1142 (2008). MSC: 49N60 × Cite Format Result Cite Review PDF Full Text: DOI Link
Harjulehto, Petteri; Kuusi, Tuomo; Lukkari, Teemu; Marola, Niko; Parviainen, Mikko Harnack’s inequality for quasiminimizers with nonstandard growth conditions. (English) Zbl 1145.49023 J. Math. Anal. Appl. 344, No. 1, 504-520 (2008). MSC: 49N60 35B45 35J60 × Cite Format Result Cite Review PDF Full Text: DOI
Nekvinda, Aleš Maximal operator on variable Lebesgue spaces for almost monotone radial exponent. (English) Zbl 1260.42010 J. Math. Anal. Appl. 337, No. 2, 1345-1365 (2008). MSC: 42B20 46E30 × Cite Format Result Cite Review PDF Full Text: DOI
Habermann, Jens Calderón-Zygmund estimates for higher order systems with \(p(x)\) growth. (English) Zbl 1147.42004 Math. Z. 258, No. 2, 427-462 (2008). Reviewer: Stefan G. Samko (Faro) MSC: 42B20 46E35 47F05 35B65 35B45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv