Berman, Robert J.; Berndtsson, Bo Moser-Trudinger type inequalities for complex Monge-Ampère operators and Aubin’s “hypothèse fondamentale”. (English) Zbl 07712230 Ann. Fac. Sci. Toulouse, Math. (6) 31, No. 3, 595-645 (2022). MSC: 53C55 32T15 32W20 35J20 PDF BibTeX XML Cite \textit{R. J. Berman} and \textit{B. Berndtsson}, Ann. Fac. Sci. Toulouse, Math. (6) 31, No. 3, 595--645 (2022; Zbl 07712230) Full Text: DOI arXiv
Anderson, Cardoso J.; Carvalho, Jonison Lucas; Medeiros, Everaldo Nonlinear Schrödinger equations involving exponential critical growth with unbounded or vanishing potentials. (English) Zbl 1503.35204 Asymptotic Anal. 130, No. 3-4, 297-322 (2022). MSC: 35Q55 35J61 35B33 35A15 35A23 35A01 PDF BibTeX XML Cite \textit{C. J. Anderson} et al., Asymptotic Anal. 130, No. 3--4, 297--322 (2022; Zbl 1503.35204) Full Text: DOI
Ohno, Takao; Shimomura, Tetsu Trudinger-type inequalities on Musielak-Orlicz-Morrey spaces of an integral form. (English) Zbl 1498.46039 Math. Scand. 128, No. 1, 78-108 (2022). MSC: 46E30 46E36 26D15 PDF BibTeX XML Cite \textit{T. Ohno} and \textit{T. Shimomura}, Math. Scand. 128, No. 1, 78--108 (2022; Zbl 1498.46039) Full Text: DOI
Lenzmann, Enno; Sok, Jérémy A sharp rearrangement principle in Fourier space and symmetry results for PDEs with arbitrary order. (English) Zbl 1481.35092 Int. Math. Res. Not. 2021, No. 19, 15040-15081 (2021). MSC: 35B45 35A23 35B06 35R11 35S05 PDF BibTeX XML Cite \textit{E. Lenzmann} and \textit{J. Sok}, Int. Math. Res. Not. 2021, No. 19, 15040--15081 (2021; Zbl 1481.35092) Full Text: DOI arXiv
Wadade, Hidemitsu; Ishiwata, Michinori Vanishing-concentration-compactness alternative for critical Sobolev embedding with a general integrand in \(\mathbb{R}^2\). (English) Zbl 1494.47124 Calc. Var. Partial Differ. Equ. 60, No. 6, Paper No. 203, 26 p. (2021). MSC: 47J30 46E35 26D10 PDF BibTeX XML Cite \textit{H. Wadade} and \textit{M. Ishiwata}, Calc. Var. Partial Differ. Equ. 60, No. 6, Paper No. 203, 26 p. (2021; Zbl 1494.47124) Full Text: DOI
Nguyen, Van Hoang Extremal functions for sharp Moser-Trudinger type inequalities in the whole space \(\mathbb{R}^N\). (English) Zbl 1467.46038 J. Funct. Anal. 280, No. 3, Article ID 108833, 36 p. (2021). MSC: 46E35 26D10 PDF BibTeX XML Cite \textit{V. H. Nguyen}, J. Funct. Anal. 280, No. 3, Article ID 108833, 36 p. (2021; Zbl 1467.46038) Full Text: DOI
Heihoff, Frederic Global mass-preserving solutions for a two-dimensional chemotaxis system with rotational flux components coupled with a full Navier-Stokes equation. (English) Zbl 1465.35107 Discrete Contin. Dyn. Syst., Ser. B 25, No. 12, 4703-4719 (2020). MSC: 35D30 35K51 35K59 35Q30 92C17 PDF BibTeX XML Cite \textit{F. Heihoff}, Discrete Contin. Dyn. Syst., Ser. B 25, No. 12, 4703--4719 (2020; Zbl 1465.35107) Full Text: DOI arXiv
do Ó, João Marcos; Macedo, Abiel Costa; de Oliveira, José Francisco A sharp Adams-type inequality for weighted Sobolev spaces. (English) Zbl 1456.46029 Q. J. Math. 71, No. 2, 517-538 (2020). MSC: 46E35 26D10 26D15 PDF BibTeX XML Cite \textit{J. M. do Ó} et al., Q. J. Math. 71, No. 2, 517--538 (2020; Zbl 1456.46029) Full Text: DOI
Chen, Wenjing; Yu, Fang On a fractional Kirchhoff type problem with critical exponential growth nonlinearity. (English) Zbl 1436.35009 Appl. Math. Lett. 105, Article ID 106279, 8 p. (2020). MSC: 35A23 35R11 35A01 PDF BibTeX XML Cite \textit{W. Chen} and \textit{F. Yu}, Appl. Math. Lett. 105, Article ID 106279, 8 p. (2020; Zbl 1436.35009) Full Text: DOI
Deng, Shengbing Existence of solutions for some weighted mean field equations in dimension \(N\). (English) Zbl 1430.35107 Appl. Math. Lett. 100, Article ID 106010, 7 p. (2020). MSC: 35J92 35J67 35A01 PDF BibTeX XML Cite \textit{S. Deng}, Appl. Math. Lett. 100, Article ID 106010, 7 p. (2020; Zbl 1430.35107) Full Text: DOI
Zhu, Xiaobao Remarks on singular Trudinger-Moser type inequalities. (English) Zbl 1443.46024 Commun. Pure Appl. Anal. 19, No. 1, 103-112 (2020). MSC: 46E35 26D10 PDF BibTeX XML Cite \textit{X. Zhu}, Commun. Pure Appl. Anal. 19, No. 1, 103--112 (2020; Zbl 1443.46024) Full Text: DOI
Nguyen, Van Hoang Remarks on the Moser-Trudinger type inequality with logarithmic weights in dimension \(N\). (English) Zbl 1441.46028 Proc. Am. Math. Soc. 147, No. 12, 5183-5193 (2019). MSC: 46E35 26D10 PDF BibTeX XML Cite \textit{V. H. Nguyen}, Proc. Am. Math. Soc. 147, No. 12, 5183--5193 (2019; Zbl 1441.46028) Full Text: DOI
Chen, Lu; Lu, Guozhen; Zhang, Caifeng Sharp weighted Trudinger-Moser-Adams inequalities on the whole space and the existence of their extremals. (English) Zbl 1421.35099 Calc. Var. Partial Differ. Equ. 58, No. 4, Paper No. 132, 31 p. (2019). MSC: 35J60 46E35 PDF BibTeX XML Cite \textit{L. Chen} et al., Calc. Var. Partial Differ. Equ. 58, No. 4, Paper No. 132, 31 p. (2019; Zbl 1421.35099) Full Text: DOI
Gui, Changfeng; Moradifam, Amir The sphere covering inequality and its applications. (English) Zbl 1410.53037 Invent. Math. 214, No. 3, 1169-1204 (2018). Reviewer: Peter B. Gilkey (Eugene) MSC: 53C20 53C21 35J60 28A75 PDF BibTeX XML Cite \textit{C. Gui} and \textit{A. Moradifam}, Invent. Math. 214, No. 3, 1169--1204 (2018; Zbl 1410.53037) Full Text: DOI arXiv
Calanchi, Marta; Ruf, Bernhard; Sani, Federica Elliptic equations in dimension 2 with double exponential nonlinearities. (English) Zbl 1377.35091 NoDEA, Nonlinear Differ. Equ. Appl. 24, No. 3, Paper No. 29, 18 p. (2017). MSC: 35J60 35J20 35B33 PDF BibTeX XML Cite \textit{M. Calanchi} et al., NoDEA, Nonlinear Differ. Equ. Appl. 24, No. 3, Paper No. 29, 18 p. (2017; Zbl 1377.35091) Full Text: DOI
Lam, Nguyen; Lu, Guozhen; Tang, Hanli Sharp affine and improved Moser-Trudinger-Adams type inequalities on unbounded domains in the spirit of Lions. (English) Zbl 1372.46027 J. Geom. Anal. 27, No. 1, 300-334 (2017). MSC: 46E35 35J30 46E30 PDF BibTeX XML Cite \textit{N. Lam} et al., J. Geom. Anal. 27, No. 1, 300--334 (2017; Zbl 1372.46027) Full Text: DOI
Lam, Nguyen Equivalence of sharp Trudinger-Moser-Adams inequalities. (English) Zbl 1364.35014 Commun. Pure Appl. Anal. 16, No. 3, 973-997 (2017). MSC: 35A23 26D15 46E35 46E30 PDF BibTeX XML Cite \textit{N. Lam}, Commun. Pure Appl. Anal. 16, No. 3, 973--997 (2017; Zbl 1364.35014) Full Text: DOI
de Figueiredo, Djairo G.; do Ó, João Marcos B.; dos Santos, Ederson Moreira Trudinger-Moser inequalities involving fast growth and weights with strong vanishing at zero. (English) Zbl 1341.35080 Proc. Am. Math. Soc. 144, No. 8, 3369-3380 (2016). MSC: 35J86 35J15 46E35 PDF BibTeX XML Cite \textit{D. G. de Figueiredo} et al., Proc. Am. Math. Soc. 144, No. 8, 3369--3380 (2016; Zbl 1341.35080) Full Text: DOI
Roy, Prosenjit Extremal function for Moser-Trudinger type inequality with logarithmic weight. (English) Zbl 1355.46042 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 135, 194-204 (2016). MSC: 46E35 26D10 PDF BibTeX XML Cite \textit{P. Roy}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 135, 194--204 (2016; Zbl 1355.46042) Full Text: DOI arXiv
Calanchi, Marta; Ruf, Bernhard On Trudinger-Moser type inequalities with logarithmic weights. (English) Zbl 1334.46026 J. Differ. Equations 258, No. 6, 1967-1989 (2015). MSC: 46E35 35J60 35J20 PDF BibTeX XML Cite \textit{M. Calanchi} and \textit{B. Ruf}, J. Differ. Equations 258, No. 6, 1967--1989 (2015; Zbl 1334.46026) Full Text: DOI
De Oliveira, José Francisco; Do Ó, João Marcos Concentration-compactness principle and extremal functions for a sharp Trudinger-Moser inequality. (English) Zbl 1333.46033 Calc. Var. Partial Differ. Equ. 52, No. 1-2, 125-163 (2015). MSC: 46E35 26D10 35B33 PDF BibTeX XML Cite \textit{J. F. De Oliveira} and \textit{J. M. Do Ó}, Calc. Var. Partial Differ. Equ. 52, No. 1--2, 125--163 (2015; Zbl 1333.46033) Full Text: DOI
Ishiwata, Michinori On the existence and nonexistence of maximizers associated with Trudinger-Moser type inequalities in unbounded domains. (English) Zbl 1297.35012 Chen, Hua (ed.) et al., Emerging topics on differential equations and their applications. Proceedings on Sino-Japan conference of young mathematicians (SJCYM), Nankai University, Tianjin, People’s Republic of China, December 5–9, 2011. Hackensack, NJ: World Scientific (ISBN 978-981-4449-74-8/hbk; 978-981-4449-76-2/ebook). Nankai Series in Pure, Applied Mathematics and Theoretical Physics 10, 41-53 (2013). MSC: 35A23 PDF BibTeX XML Cite \textit{M. Ishiwata}, Nankai Ser. Pure Appl. Math. Theor. Phys. 10, 41--53 (2013; Zbl 1297.35012) Full Text: DOI
Ghoussoub, Nassif; Moradifam, Amir Functional inequalities. New perspectives and new applications. (English) Zbl 1269.39008 Mathematical Surveys and Monographs 187. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-9152-0/hbk). xxiv, 299 p. (2013). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 39B62 39-02 26D10 47A63 47J10 PDF BibTeX XML Cite \textit{N. Ghoussoub} and \textit{A. Moradifam}, Functional inequalities. New perspectives and new applications. Providence, RI: American Mathematical Society (AMS) (2013; Zbl 1269.39008) Full Text: arXiv
Nguyen Lam; Lu, Guozhen Sharp singular Adams inequalities in high order Sobolev spaces. (English) Zbl 1319.46027 Methods Appl. Anal. 19, No. 3, 243-266 (2012). Reviewer: Luz Roncal (Logroño) MSC: 46E35 42B37 42B35 35J62 26D10 PDF BibTeX XML Cite \textit{Nguyen Lam} and \textit{G. Lu}, Methods Appl. Anal. 19, No. 3, 243--266 (2012; Zbl 1319.46027) Full Text: DOI arXiv
Lam, Nguyen; Lu, Guozhen Sharp Adams type inequalities in Sobolev spaces \(W^{m,\frac{n}{m}}(\mathbb R^n)\) for arbitrary integer \(m\). (English) Zbl 1259.46029 J. Differ. Equations 253, No. 4, 1143-1171 (2012). Reviewer: George O. Okikiolu (London) MSC: 46E35 35B33 PDF BibTeX XML Cite \textit{N. Lam} and \textit{G. Lu}, J. Differ. Equations 253, No. 4, 1143--1171 (2012; Zbl 1259.46029) Full Text: DOI arXiv
Li, Pengtao; Zhai, Zhichun Several analytic inequalities in some \(Q\)-spaces. (English) Zbl 1239.42025 Taiwanese J. Math. 15, No. 5, 2043-2058 (2011). Reviewer: Esentay Alsynbaeva (Alma-Ata) MSC: 42B35 46E30 26D07 PDF BibTeX XML Cite \textit{P. Li} and \textit{Z. Zhai}, Taiwanese J. Math. 15, No. 5, 2043--2058 (2011; Zbl 1239.42025) Full Text: DOI arXiv
Mancini, Gianni; Sandeep, Kunnath Extremals for Sobolev and Moser inequalities in hyperbolic space. (English) Zbl 1232.35045 Milan J. Math. 79, No. 1, 273-283 (2011). Reviewer: Zhiqing Han (Dalian) MSC: 35J20 35J60 35J88 35R45 47J20 PDF BibTeX XML Cite \textit{G. Mancini} and \textit{K. Sandeep}, Milan J. Math. 79, No. 1, 273--283 (2011; Zbl 1232.35045) Full Text: DOI
Wadade, Hidemitsu Remarks on the critical Besov space and its embedding into weighted Besov–Orlicz spaces. (English) Zbl 1216.46034 Stud. Math. 201, No. 3, 227-251 (2010). MSC: 46E35 26D15 PDF BibTeX XML Cite \textit{H. Wadade}, Stud. Math. 201, No. 3, 227--251 (2010; Zbl 1216.46034) Full Text: DOI
Nagayasu, Sei; Wadade, Hidemitsu Characterization of the critical Sobolev space on the optimal singularity at the origin. (English) Zbl 1209.46017 J. Funct. Anal. 258, No. 11, 3725-3757 (2010). Reviewer: Raymond Johnson (Houston) MSC: 46E35 26D10 46E30 PDF BibTeX XML Cite \textit{S. Nagayasu} and \textit{H. Wadade}, J. Funct. Anal. 258, No. 11, 3725--3757 (2010; Zbl 1209.46017) Full Text: DOI Link
Xiao, Jie The \(p\)-Faber-Krahn inequality noted. (English) Zbl 1185.26033 Laptev, Ari (ed.), Around the research of Vladimir Maz’ya. I. Function spaces. Dordrecht: Springer; Novosibirsk: Tamara Rozhkovskaya Publisher (ISBN 978-1-4419-1340-1/hbk; 978-1-4419-1341-8/ebook; 978-5-9018-7341-0/hbk). International Mathematical Series (New York) 11, 373-390 (2010). MSC: 26D10 PDF BibTeX XML Cite \textit{J. Xiao}, Int. Math. Ser., N.Y. 11, 373--390 (2010; Zbl 1185.26033) Full Text: DOI arXiv
Cassani, Daniele; Ruf, Bernhard; Tarsi, Cristina Best constants in a borderline case of second-order Moser type inequalities. (English) Zbl 1194.46048 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 27, No. 1, 73-93 (2010). MSC: 46E35 35B65 26D10 PDF BibTeX XML Cite \textit{D. Cassani} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 27, No. 1, 73--93 (2010; Zbl 1194.46048) Full Text: DOI
Wadade, Hidemitsu Remarks on the Gagliardo-Nirenberg type inequality in the Besov and the Triebel-Lizorkin spaces in the limiting case. (English) Zbl 1188.46023 J. Fourier Anal. Appl. 15, No. 6, 857-870 (2009). MSC: 46E35 26D10 PDF BibTeX XML Cite \textit{H. Wadade}, J. Fourier Anal. Appl. 15, No. 6, 857--870 (2009; Zbl 1188.46023) Full Text: DOI
Cassani, Daniele; Tarsi, Cristina A Moser-type inequality in Lorentz-Sobolev spaces for unbounded domains in \(\mathbb R^{N}\). (English) Zbl 1184.46034 Asymptotic Anal. 64, No. 1-2, 29-51 (2009). MSC: 46E35 26D10 26D15 PDF BibTeX XML Cite \textit{D. Cassani} and \textit{C. Tarsi}, Asymptotic Anal. 64, No. 1--2, 29--51 (2009; Zbl 1184.46034) Full Text: DOI
Bonheure, Denis; Serra, Enrico; Tarallo, Massimo Symmetry of extremal functions in Moser-Trudinger inequalities and a Hénon type problem in dimension two. (English) Zbl 1173.35044 Adv. Differ. Equ. 13, No. 1-2, 105-138 (2008). Reviewer: Zuoliang Xu (Beijing) MSC: 35J20 35J65 58E05 49J40 35B05 35B40 PDF BibTeX XML Cite \textit{D. Bonheure} et al., Adv. Differ. Equ. 13, No. 1--2, 105--138 (2008; Zbl 1173.35044)
Tyson, Jeremy T. Sharp weighted Young’s inequalities and Moser-Trudinger inequalities on Heisenberg type groups and Grushin spaces. (English) Zbl 1099.43006 Potential Anal. 24, No. 4, 357-384 (2006). Reviewer: Koichi Saka (Akita) MSC: 43A80 22E30 26D10 31C45 46E35 33C05 42A85 PDF BibTeX XML Cite \textit{J. T. Tyson}, Potential Anal. 24, No. 4, 357--384 (2006; Zbl 1099.43006) Full Text: DOI
Cianchi, Andrea Moser–Trudinger inequalities without boundary conditions and isoperimetric problems. (English) Zbl 1097.46016 Indiana Univ. Math. J. 54, No. 3, 669-705 (2005). Reviewer: Bohumír Opic (Praha) MSC: 46E35 46E30 PDF BibTeX XML Cite \textit{A. Cianchi}, Indiana Univ. Math. J. 54, No. 3, 669--705 (2005; Zbl 1097.46016) Full Text: DOI
Balogh, Zoltán M.; Tyson, Jeremy T. Potential theory in Carnot groups. (English) Zbl 1043.22004 Beckner, William (ed.) et al., Harmonic analysis at Mount Holyoke. Proceedings of an AMS-IMS-SIAM joint summer research conference, Mount Holyoke College, South Hadley, MA, USA, June 25–July 5, 2001. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-2903-3/pbk). Contemp. Math. 320, 15-27 (2003). Reviewer: A. A. Bogush (Minsk) MSC: 22E30 43A80 35J60 31C45 46E35 PDF BibTeX XML Cite \textit{Z. M. Balogh} and \textit{J. T. Tyson}, Contemp. Math. 320, 15--27 (2003; Zbl 1043.22004)
Harboure, E.; Salinas, O.; Viviani, B. Orlicz boundedness for certain classical operators. (English) Zbl 1044.42016 Colloq. Math. 91, No. 2, 263-282 (2002). Reviewer: Petr Gurka (Praha) MSC: 42B25 46E30 47G10 PDF BibTeX XML Cite \textit{E. Harboure} et al., Colloq. Math. 91, No. 2, 263--282 (2002; Zbl 1044.42016) Full Text: DOI Link
Edmunds, D. E.; Hurri-Syrjänen, R. Sobolev inequalities of exponential type. (English) Zbl 0991.46019 Isr. J. Math. 123, 61-92 (2001). Reviewer: Walter Farkas (München) MSC: 46E35 PDF BibTeX XML Cite \textit{D. E. Edmunds} and \textit{R. Hurri-Syrjänen}, Isr. J. Math. 123, 61--92 (2001; Zbl 0991.46019) Full Text: DOI
Buckley, Stephen M.; O’Shea, Julann Weighted Trudinger-type inequalities. (English) Zbl 0965.46024 Indiana Univ. Math. J. 48, No. 1, 85-114 (1999). Reviewer: Jafar Zafarani (Isfahan) MSC: 46E35 46E30 PDF BibTeX XML Cite \textit{S. M. Buckley} and \textit{J. O'Shea}, Indiana Univ. Math. J. 48, No. 1, 85--114 (1999; Zbl 0965.46024) Full Text: DOI Link
Cianchi, Andrea Interpolation of operators and the Sobolev embedding theorem on Orlicz spaces. (English) Zbl 1011.46025 Magalhães, L. (ed.) et al., International conference on differential equations. Papers from the conference, EQUADIFF 95, Lisboa, Portugal, July 24-29, 1995. Singapore: World Scientific. 306-310 (1998). MSC: 46E30 46M35 46E35 PDF BibTeX XML Cite \textit{A. Cianchi}, in: International conference on differential equations. Papers from the conference, EQUADIFF 95, Lisboa, Portugal, July 24--29, 1995. Singapore: World Scientific. 306--310 (1998; Zbl 1011.46025)
Buckley, Stephen M.; Koskela, Pekka New Poincaré inequalities from old. (English) Zbl 0915.46025 Ann. Acad. Sci. Fenn., Math. 23, No. 1, 251-260 (1998). MSC: 46E35 PDF BibTeX XML Cite \textit{S. M. Buckley} and \textit{P. Koskela}, Ann. Acad. Sci. Fenn., Math. 23, No. 1, 251--260 (1998; Zbl 0915.46025) Full Text: EuDML EMIS
Ozawa, T. Characterization of Trudinger’s inequality. (English) Zbl 0921.46023 J. Inequal. Appl. 1, No. 4, 369-374 (1997). Reviewer: S.G.Samko (Faro) MSC: 46E35 26D10 46E30 PDF BibTeX XML Cite \textit{T. Ozawa}, J. Inequal. Appl. 1, No. 4, 369--374 (1997; Zbl 0921.46023) Full Text: DOI EuDML
Coulhon, Thierry Lipschitz spaces and Poincaré inequalities. (Espaces de Lipschitz et inégalités de Poincaré.) (French) Zbl 0859.58009 J. Funct. Anal. 136, No. 1, 81-113 (1996). Reviewer: N.Papaghiuc (Iaşi) MSC: 58E35 PDF BibTeX XML Cite \textit{T. Coulhon}, J. Funct. Anal. 136, No. 1, 81--113 (1996; Zbl 0859.58009) Full Text: DOI
Bakry, D.; Coulhon, T.; Ledoux, M.; Saloff-Coste, L. Sobolev inequalities in disguise. (English) Zbl 0857.26006 Indiana Univ. Math. J. 44, No. 4, 1032-1074 (1995). Reviewer: L.Saloff-Coste (Toulouse) MSC: 26D10 58D25 31C15 39B72 PDF BibTeX XML Cite \textit{D. Bakry} et al., Indiana Univ. Math. J. 44, No. 4, 1032--1074 (1995; Zbl 0857.26006) Full Text: DOI