Paronetto, Fabio Harnack inequality for parabolic equations with coefficients depending on time. (English) Zbl 07751758 Adv. Calc. Var. 16, No. 4, 791-821 (2023). Reviewer: Abimbola Abolarinwa (Lagos) MSC: 35B65 35B45 35K59 35K65 PDFBibTeX XMLCite \textit{F. Paronetto}, Adv. Calc. Var. 16, No. 4, 791--821 (2023; Zbl 07751758) Full Text: DOI OA License
Chaker, Jamil; Kim, Minhyun; Weidner, Marvin Harnack inequality for nonlocal problems with non-standard growth. (English) Zbl 1515.35082 Math. Ann. 386, No. 1-2, 533-550 (2023). Reviewer: Vincenzo Vespri (Firenze) MSC: 35B65 35A15 35B35 35D30 47G20 PDFBibTeX XMLCite \textit{J. Chaker} et al., Math. Ann. 386, No. 1--2, 533--550 (2023; Zbl 1515.35082) Full Text: DOI arXiv
Paronetto, Fabio Boundedness for solutions of weighted forward-backward parabolic equations without assuming higher regularity. (English) Zbl 1487.35155 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 220, Article ID 112863, 22 p. (2022). MSC: 35B65 35M10 35B45 35B50 35J62 35J70 35K65 PDFBibTeX XMLCite \textit{F. Paronetto}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 220, Article ID 112863, 22 p. (2022; Zbl 1487.35155) Full Text: DOI
Liao, Naian Remarks on parabolic De Giorgi classes. (English) Zbl 1472.35077 Ann. Mat. Pura Appl. (4) 200, No. 6, 2361-2384 (2021). Reviewer: Vincenzo Vespri (Firenze) MSC: 35B65 35K59 49N60 PDFBibTeX XMLCite \textit{N. Liao}, Ann. Mat. Pura Appl. (4) 200, No. 6, 2361--2384 (2021; Zbl 1472.35077) Full Text: DOI arXiv
Skrypnik, Igor I.; Voitovych, Mykhailo V. \( \mathcal{B}_1\) classes of De Giorgi-Ladyzhenskaya-Ural’tseva and their applications to elliptic and parabolic equations with generalized Orlicz growth conditions. (English) Zbl 1450.35117 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 202, Article ID 112135, 30 p. (2021). MSC: 35D30 35B45 35J62 35K59 49N60 PDFBibTeX XMLCite \textit{I. I. Skrypnik} and \textit{M. V. Voitovych}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 202, Article ID 112135, 30 p. (2021; Zbl 1450.35117) Full Text: DOI arXiv
Skrypnik, Igor I.; Voitovych, Mykhailo V. \( {\mathfrak{B}}_1\) classes of De Giorgi, Ladyzhenskaya, and Ural’tseva and their application to elliptic and parabolic equations with nonstandard growth. (English. Ukrainian original) Zbl 1448.35068 J. Math. Sci., New York 246, No. 1, 75-109 (2020); translation from Ukr. Mat. Visn. 16, No. 3, 403-447 (2019). Reviewer: Vincenzo Vespri (Firenze) MSC: 35B65 35K59 35J62 35B45 35D30 PDFBibTeX XMLCite \textit{I. I. Skrypnik} and \textit{M. V. Voitovych}, J. Math. Sci., New York 246, No. 1, 75--109 (2020; Zbl 1448.35068); translation from Ukr. Mat. Visn. 16, No. 3, 403--447 (2019) Full Text: DOI
Baroni, Paolo; Di Castro, Agnese; Palatucci, Giampiero Intrinsic geometry and De Giorgi classes for certain anisotropic problems. (English) Zbl 1370.35140 Discrete Contin. Dyn. Syst., Ser. S 10, No. 4, 647-659 (2017). Reviewer: Vincenzo Vespri (Firenze) MSC: 35J70 35B65 PDFBibTeX XMLCite \textit{P. Baroni} et al., Discrete Contin. Dyn. Syst., Ser. S 10, No. 4, 647--659 (2017; Zbl 1370.35140) Full Text: DOI
Cozzi, Matteo Regularity results and Harnack inequalities for minimizers and solutions of nonlocal problems: a unified approach via fractional De Giorgi classes. (English) Zbl 1366.49040 J. Funct. Anal. 272, No. 11, 4762-4837 (2017). Reviewer: Stepan Agop Tersian (Rousse) MSC: 49N60 47G20 35R11 35B65 PDFBibTeX XMLCite \textit{M. Cozzi}, J. Funct. Anal. 272, No. 11, 4762--4837 (2017; Zbl 1366.49040) Full Text: DOI arXiv
DiBenedetto, Emmanuele; Gianazza, Ugo Some properties of De Giorgi classes. (English) Zbl 1432.35066 Rend. Ist. Mat. Univ. Trieste 48, 245-260 (2016). MSC: 35J15 49N60 35J92 PDFBibTeX XMLCite \textit{E. DiBenedetto} and \textit{U. Gianazza}, Rend. Ist. Mat. Univ. Trieste 48, 245--260 (2016; Zbl 1432.35066) Full Text: DOI arXiv
Gianazza, Ugo; Vespri, Vincenzo Parabolic De Giorgi classes of order \(p\) and the Harnack inequality. (English) Zbl 1098.35077 Calc. Var. Partial Differ. Equ. 26, No. 3, 379-399 (2006). Reviewer: Maria Agostina Vivaldi (Roma) MSC: 35K55 35B45 35B65 35K50 PDFBibTeX XMLCite \textit{U. Gianazza} and \textit{V. Vespri}, Calc. Var. Partial Differ. Equ. 26, No. 3, 379--399 (2006; Zbl 1098.35077) Full Text: DOI
Le, Dung Regularity of solutions to a class of cross diffusion systems. (English) Zbl 1083.35031 SIAM J. Math. Anal. 36, No. 6, 1929-1942 (2005). Reviewer: Jana Stará (Praha) MSC: 35D10 35K57 35B65 35K40 PDFBibTeX XMLCite \textit{D. Le}, SIAM J. Math. Anal. 36, No. 6, 1929--1942 (2005; Zbl 1083.35031) Full Text: DOI
Marchi, Silvana Hölder continuity and Harnack inequality for De Giorgi classes related to Hörmander vector fields. (English) Zbl 0861.35018 Ann. Mat. Pura Appl., IV. Ser. 168, 171-188 (1995). Reviewer: O.John (Praha) MSC: 35D10 49N60 PDFBibTeX XMLCite \textit{S. Marchi}, Ann. Mat. Pura Appl. (4) 168, 171--188 (1995; Zbl 0861.35018) Full Text: DOI
Lieberman, Gary M. The natural generalization of the natural conditions of Ladyzhenskaya and Ural’tseva for elliptic equations. (English) Zbl 0742.35028 Commun. Partial Differ. Equations 16, No. 2-3, 311-361 (1991). Reviewer: J.J.Manfredi (Pittsburgh) MSC: 35J70 35D10 35J60 46E30 PDFBibTeX XMLCite \textit{G. M. Lieberman}, Commun. Partial Differ. Equations 16, No. 2--3, 311--361 (1991; Zbl 0742.35028) Full Text: DOI
DiBenedetto, Emmanuele Harnack estimates in certain function classes. (English) Zbl 0698.35023 Atti Semin. Mat. Fis. Univ. Modena 37, No. 1, 173-182 (1989). Reviewer: C.Bandle MSC: 35B45 35K99 PDFBibTeX XMLCite \textit{E. DiBenedetto}, Atti Semin. Mat. Fis. Univ. Modena 37, No. 1, 173--182 (1989; Zbl 0698.35023)
Chen, Zuchi Regularity for \(W^{1,2}\)-solutions of certain degenerate elliptic equations. (English) Zbl 0687.35023 J. China Univ. Sci. Technol. 18, No. 1, 1-13 (1988). Reviewer: M.Fuchs MSC: 35D10 35J70 35J60 PDFBibTeX XMLCite \textit{Z. Chen}, J. China Univ. Sci. Technol. 18, No. 1, 1--13 (1988; Zbl 0687.35023)
DiBenedetto, E.; Trudinger, Neil S. Harnack inequalities for quasi-minima of variational integrals. (English) Zbl 0565.35012 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 1, 295-308 (1984). Reviewer: S.M.Lenhart MSC: 35B45 35J60 35D05 PDFBibTeX XMLCite \textit{E. DiBenedetto} and \textit{N. S. Trudinger}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 1, 295--308 (1984; Zbl 0565.35012) Full Text: DOI Numdam EuDML