Ahmed, I.; Fiorenza, A.; Formica, M. R.; Gogatishvili, A.; El Hamidi, A.; Rakotoson, J. M. Quasilinear PDEs, interpolation spaces and Hölderian mappings. (English) Zbl 07773820 Anal. Math. 49, No. 4, 895-950 (2023). MSC: 46M35 35J62 35B45 35D30 35J25 46E30 46B70 PDFBibTeX XMLCite \textit{I. Ahmed} et al., Anal. Math. 49, No. 4, 895--950 (2023; Zbl 07773820) Full Text: DOI arXiv
Fiorenza, A.; Gogatishvili, A.; Nekvinda, A.; Rakotoson, J. M. Remarks on compactness results for variable exponent spaces \(L^{p(\cdot)}\). (English. French summary) Zbl 1486.46037 J. Math. Pures Appl. (9) 157, 136-144 (2022). Reviewer: Şerban Costea (Piteşti) MSC: 46E30 46E35 26D15 PDFBibTeX XMLCite \textit{A. Fiorenza} et al., J. Math. Pures Appl. (9) 157, 136--144 (2022; Zbl 1486.46037) Full Text: DOI
Ahmed, Irshaad; Fiorenza, Alberto; Formica, Maria Rosaria; Gogatishvili, Amiran; Rakotoson, Jean Michel Some new results related to Lorentz \(G\Gamma\)-spaces and interpolation. (English) Zbl 1442.46014 J. Math. Anal. Appl. 483, No. 2, Article ID 123623, 24 p. (2020). Reviewer: Sergey G. Pyatkov (Khanty-Mansiysk) MSC: 46B70 46E30 46N20 PDFBibTeX XMLCite \textit{I. Ahmed} et al., J. Math. Anal. Appl. 483, No. 2, Article ID 123623, 24 p. (2020; Zbl 1442.46014) Full Text: DOI arXiv
Rakotoson, Jean Michel Best regularity for a Schrödinger type equation with non smooth data and interpolation spaces. (English) Zbl 1472.35113 Ahusborde, É. (ed.) et al., Fifteenth international conference Zaragoza-Pau on mathematics and its applications. Proceedings of the conference, Jaca, Spain, September 10–12, 2018. Zaragoza: Prensas de la Universidad de Zaragoza. Monogr. Mat. García Galdeano 42, 243-252 (2019). MSC: 35J10 46E30 46B70 35J65 PDFBibTeX XMLCite \textit{J. M. Rakotoson}, Monogr. Mat. García Galdeano 42, 243--252 (2019; Zbl 1472.35113)
Fiorenza, Alberto; Formica, Maria Rosaria; Gogatishvili, Amiran; Kopaliani, Tengiz; Rakotoson, Jean Michel Characterization of interpolation between grand, small or classical Lebesgue spaces. (English) Zbl 1409.46025 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 177, Part B, 422-453 (2018). MSC: 46E30 46B70 PDFBibTeX XMLCite \textit{A. Fiorenza} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 177, Part B, 422--453 (2018; Zbl 1409.46025) Full Text: DOI arXiv
Fiorenza, Alberto; Formica, Maria Rosaria; Rakotoson, Jean Michel Pointwise estimates for \(G\Gamma\)-functions and applications. (English) Zbl 1413.35161 Differ. Integral Equ. 30, No. 11-12, 809-824 (2017). Reviewer: Maria Alessandra Ragusa (Catania) MSC: 35J25 35B65 46E30 46E35 PDFBibTeX XMLCite \textit{A. Fiorenza} et al., Differ. Integral Equ. 30, No. 11--12, 809--824 (2017; Zbl 1413.35161)
Fiorenza, Alberto; Rakotoson, Jean Michel; Sbordone, Carlo Variable exponents and grand Lebesgue spaces: some optimal results. (English) Zbl 1351.46024 Commun. Contemp. Math. 17, No. 6, Article ID 1550023, 14 p. (2015). MSC: 46E30 PDFBibTeX XMLCite \textit{A. Fiorenza} et al., Commun. Contemp. Math. 17, No. 6, Article ID 1550023, 14 p. (2015; Zbl 1351.46024) Full Text: DOI
Rakotoson, Jean-Michel Lipschitz properties in variable exponent problems via relative rearrangement. (English) Zbl 1221.46029 Chin. Ann. Math., Ser. B 31, No. 6, 991-1006 (2010). Reviewer: Alexei Yu. Karlovich (Lisboa) MSC: 46E30 46E35 35B45 35B65 35J20 PDFBibTeX XMLCite \textit{J.-M. Rakotoson}, Chin. Ann. Math., Ser. B 31, No. 6, 991--1006 (2010; Zbl 1221.46029) Full Text: DOI
Rakotoson, Jean-Michel Generalized eigenvalue problem for totally discontinuous operators. (English) Zbl 1201.35151 Discrete Contin. Dyn. Syst. 28, No. 1, 343-373 (2010). Reviewer: Jesús Hernández (Madrid) MSC: 35P30 47J10 35R70 46N10 46B50 46E30 46E35 PDFBibTeX XMLCite \textit{J.-M. Rakotoson}, Discrete Contin. Dyn. Syst. 28, No. 1, 343--373 (2010; Zbl 1201.35151) Full Text: DOI
Fiorenza, A.; Rakotoson, J. M.; Zitouni, L. Relative rearrangement method for estimating dual norms. (English) Zbl 1178.46026 Indiana Univ. Math. J. 58, No. 3, 1127-1150 (2009). Reviewer: Alexei Yu. Karlovich (Lisboa) MSC: 46E30 PDFBibTeX XMLCite \textit{A. Fiorenza} et al., Indiana Univ. Math. J. 58, No. 3, 1127--1150 (2009; Zbl 1178.46026) Full Text: DOI
Fiorenza, A.; Rakotoson, J. M. Some estimates in \(G\Gamma (p,m,w)\) spaces. (English) Zbl 1144.46027 J. Math. Anal. Appl. 340, No. 2, 793-805 (2008). MSC: 46E30 PDFBibTeX XMLCite \textit{A. Fiorenza} and \textit{J. M. Rakotoson}, J. Math. Anal. Appl. 340, No. 2, 793--805 (2008; Zbl 1144.46027) Full Text: DOI
Fiorenza, A.; Rakotoson, J. M. Relative rearrangement and Lebesgue spaces \(L^p(\cdot)\) with variable exponent. (English) Zbl 1137.46016 J. Math. Pures Appl. (9) 88, No. 6, 506-521 (2007). Reviewer: Stefan G. Samko (Faro) MSC: 46E30 26D07 PDFBibTeX XMLCite \textit{A. Fiorenza} and \textit{J. M. Rakotoson}, J. Math. Pures Appl. (9) 88, No. 6, 506--521 (2007; Zbl 1137.46016) Full Text: DOI
Rakotoson, J. M. Multivalued fixed point index and nonlocal problems involving relative rearrangement. (English) Zbl 1130.46014 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 66, No. 11, 2470-2499 (2007). Reviewer: Jürgen Appell (Würzburg) MSC: 46E30 46E35 46B70 26D07 35J60 35R70 47H10 47H11 47H04 PDFBibTeX XMLCite \textit{J. M. Rakotoson}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 66, No. 11, 2470--2499 (2007; Zbl 1130.46014) Full Text: DOI
Fiorenza, A.; Rakotoson, J. M. Compactness, interpolation inequalities for small Lebesgue-Sobolev spaces and applications. (English) Zbl 1098.46025 Calc. Var. Partial Differ. Equ. 25, No. 2, 187-203 (2006). Reviewer: Stefan G. Samko (Faro) MSC: 46E35 46E30 46B70 26D07 35J60 PDFBibTeX XMLCite \textit{A. Fiorenza} and \textit{J. M. Rakotoson}, Calc. Var. Partial Differ. Equ. 25, No. 2, 187--203 (2006; Zbl 1098.46025) Full Text: DOI
Rakotoson, J. M.; Seoane, M. L. Strong convergence of the directional derivative of the decreasing rearrangement mapping and related questions. (English) Zbl 1150.46323 Differ. Integral Equ. 17, No. 11-12, 1347-1358 (2004). MSC: 46E30 46E35 26D07 PDFBibTeX XMLCite \textit{J. M. Rakotoson} and \textit{M. L. Seoane}, Differ. Integral Equ. 17, No. 11--12, 1347--1358 (2004; Zbl 1150.46323)
Fiorenza, A.; Rakotoson, J. M. New properties of small Lebesgue spaces and their applications. (English) Zbl 1037.46025 Math. Ann. 326, No. 3, 543-561 (2003). Reviewer: G. O. Okikiolu (London) MSC: 46E30 35J99 PDFBibTeX XMLCite \textit{A. Fiorenza} and \textit{J. M. Rakotoson}, Math. Ann. 326, No. 3, 543--561 (2003; Zbl 1037.46025) Full Text: DOI
Rakotoson, J. M. Some new applications of the pointwise relations for the relative rearrangement. (English) Zbl 1039.46031 Adv. Differ. Equ. 7, No. 5, 617-640 (2002). Reviewer: Denise Huet (Nancy) MSC: 46E35 35J60 26D07 35K20 35D10 46E30 PDFBibTeX XMLCite \textit{J. M. Rakotoson}, Adv. Differ. Equ. 7, No. 5, 617--640 (2002; Zbl 1039.46031)
Fiorenza, Alberto; Rakotoson, Jean-Michel Small Lebesgue spaces and their applications. (Petits espaces de Lebesgue et quelques applications.) (French. Abridged English version) Zbl 0999.46017 C. R., Math., Acad. Sci. Paris 334, No. 1, 23-26 (2002). Reviewer: Messoud Efendiev (Berlin) MSC: 46E35 46E30 46N20 PDFBibTeX XMLCite \textit{A. Fiorenza} and \textit{J.-M. Rakotoson}, C. R., Math., Acad. Sci. Paris 334, No. 1, 23--26 (2002; Zbl 0999.46017) Full Text: DOI
Ferone, A.; Jalal, M.; Rakotoson, J. M.; Volpicelli, R. A topological approach for generalized nonlocal models for a confined plasma in a tokamak. (English) Zbl 1084.35512 Commun. Appl. Anal. 5, No. 2, 159-181 (2001). MSC: 35J65 35J60 76X05 28A75 46E30 35R30 35R35 PDFBibTeX XMLCite \textit{A. Ferone} et al., Commun. Appl. Anal. 5, No. 2, 159--181 (2001; Zbl 1084.35512)
Rakotoson, J. M. General pointwise relations for the relative rearrangement and applications. (English) Zbl 1034.35037 Appl. Anal. 80, No. 1-2, 201-232 (2001). MSC: 35J60 35D10 35K20 46E30 46E35 PDFBibTeX XMLCite \textit{J. M. Rakotoson}, Appl. Anal. 80, No. 1--2, 201--232 (2001; Zbl 1034.35037) Full Text: DOI
Rakotoson, J. M. Recapitulation of some results on relative rearrangement. (Récapitulatif de quelques résultats sur le réarrangement relatif.) (French) Zbl 1011.46022 Carrive, M. (ed.) et al., Actes des journées “Jeunes numériciens” en l’honneur du 60ème anniversaire du Professeur Roger Temam, Poitiers, France, Mars 9-10, 2000. Poitou-Charentes: Atlantique. 91-105 (2001). Reviewer: Sergei V.Kisljakov (St.Peterburg) MSC: 46E30 46-02 35Q30 35Q40 49Q15 PDFBibTeX XMLCite \textit{J. M. Rakotoson}, in: Actes des journées ``Jeunes numériciens'' en l'honneur du 60ème anniversaire du Professeur Roger Temam, Poitiers, France, Mars 9--10, 2000. Poitou-Charentes: Atlantique. 91--105 (2001; Zbl 1011.46022)
Rakotoson, J. M. A differentiability result for the relative rearrangement. (English) Zbl 0772.35018 Differ. Integral Equ. 2, No. 3, 363-377 (1989). Reviewer: R.Leis (Bonn) MSC: 35J20 35J60 35J25 26A24 35Q40 49Q15 46E30 PDFBibTeX XMLCite \textit{J. M. Rakotoson}, Differ. Integral Equ. 2, No. 3, 363--377 (1989; Zbl 0772.35018)
Rakotoson, Jean Michel Some properties of the relative rearrangement. (English) Zbl 0686.28003 J. Math. Anal. Appl. 135, No. 2, 488-500 (1988). Reviewer: J.Rákosník MSC: 28A20 26D15 46E30 PDFBibTeX XMLCite \textit{J. M. Rakotoson}, J. Math. Anal. Appl. 135, No. 2, 488--500 (1988; Zbl 0686.28003) Full Text: DOI
Rakotoson, Jean-Michel; Temam, Roger A new method for \(L^{\infty}\) estimates. Application to variational inequalities. (Une nouvelle méthode d’estimation \(L^{\infty}\). Application aux inéquations variationnelles.) (French) Zbl 0619.46036 C. R. Acad. Sci., Paris, Sér. I 304, 527-530 (1987). Reviewer: Jean-Michel Rakotoson MSC: 46E35 49J40 46E30 PDFBibTeX XMLCite \textit{J.-M. Rakotoson} and \textit{R. Temam}, C. R. Acad. Sci., Paris, Sér. I 304, 527--530 (1987; Zbl 0619.46036)