de Oliveira, José Francisco; Miyagaki, Olímpio H.; Moreira, Sandra I. On a class of degenerate quasilinear elliptic equations with zero mass. (English) Zbl 1501.35235 Complex Var. Elliptic Equ. 67, No. 11, 2719-2746 (2022). MSC: 35J92 35J96 35B07 35A01 PDF BibTeX XML Cite \textit{J. F. de Oliveira} et al., Complex Var. Elliptic Equ. 67, No. 11, 2719--2746 (2022; Zbl 1501.35235) Full Text: DOI
Nobili, Francesco; Violo, Ivan Yuri Rigidity and almost rigidity of Sobolev inequalities on compact spaces with lower Ricci curvature bounds. (English) Zbl 07565569 Calc. Var. Partial Differ. Equ. 61, No. 5, Paper No. 180, 65 p. (2022). MSC: 53C24 46E36 PDF BibTeX XML Cite \textit{F. Nobili} and \textit{I. Y. Violo}, Calc. Var. Partial Differ. Equ. 61, No. 5, Paper No. 180, 65 p. (2022; Zbl 07565569) Full Text: DOI arXiv
Sano, Megumi; Takahashi, Futoshi Critical Hardy inequality on the half-space via the harmonic transplantation. (English) Zbl 1504.26036 Calc. Var. Partial Differ. Equ. 61, No. 4, Paper No. 158, 33 p. (2022). Reviewer: James Adedayo Oguntuase (Abeokuta) MSC: 26D10 35J08 PDF BibTeX XML Cite \textit{M. Sano} and \textit{F. Takahashi}, Calc. Var. Partial Differ. Equ. 61, No. 4, Paper No. 158, 33 p. (2022; Zbl 1504.26036) Full Text: DOI arXiv
Wang, Jianwei; Wang, Linlin; Xing, Yuming \(p\)-adic weak central Morrey spaces on differential forms. (English) Zbl 1491.42038 J. Math. Inequal. 16, No. 1, 69-82 (2022). MSC: 42B35 26D15 46B25 46S10 PDF BibTeX XML Cite \textit{J. Wang} et al., J. Math. Inequal. 16, No. 1, 69--82 (2022; Zbl 1491.42038) Full Text: DOI
Asim, Muhammad; Hussain, Amjad; Sarfraz, Naqash Weighted variable Morrey-Herz estimates for fractional Hardy operators. (English) Zbl 1506.42016 J. Inequal. Appl. 2022, Paper No. 2, 12 p. (2022). MSC: 42B20 42B35 42B25 46E30 46E35 26A33 PDF BibTeX XML Cite \textit{M. Asim} et al., J. Inequal. Appl. 2022, Paper No. 2, 12 p. (2022; Zbl 1506.42016) Full Text: DOI
Duy, Nguyen Tuan; Lam, Nguyen; Lu, Guozhen \(p\)-Bessel pairs, Hardy’s identities and inequalities and Hardy-Sobolev inequalities with monomial weights. (English) Zbl 1482.42058 J. Geom. Anal. 32, No. 4, Paper No. 109, 36 p. (2022). MSC: 42B35 42B37 26D10 46E35 35A23 PDF BibTeX XML Cite \textit{N. T. Duy} et al., J. Geom. Anal. 32, No. 4, Paper No. 109, 36 p. (2022; Zbl 1482.42058) Full Text: DOI
Andreucci, Daniele; Tedeev, Anatoli F. Some remarks on the Sobolev inequality in Riemannian manifolds. (English) Zbl 1492.46030 Proc. Am. Math. Soc. 150, No. 4, 1657-1667 (2022). MSC: 46E35 53C21 PDF BibTeX XML Cite \textit{D. Andreucci} and \textit{A. F. Tedeev}, Proc. Am. Math. Soc. 150, No. 4, 1657--1667 (2022; Zbl 1492.46030) Full Text: DOI arXiv
Sinnamon, Gord Hardy inequalities in normal form. (English) Zbl 1482.26043 Trans. Am. Math. Soc. 375, No. 2, 961-995 (2022). MSC: 26D15 26D10 47G10 PDF BibTeX XML Cite \textit{G. Sinnamon}, Trans. Am. Math. Soc. 375, No. 2, 961--995 (2022; Zbl 1482.26043) Full Text: DOI arXiv
Saker, Samir H.; Osman, Mahmoud M.; Anderson, Douglas R. Two weighted norm dynamic inequalities with applications on second order half-linear dynamic equations. (English) Zbl 1482.26042 Qual. Theory Dyn. Syst. 21, No. 1, Paper No. 4, 26 p. (2022). MSC: 26D15 26A15 26E70 34N05 PDF BibTeX XML Cite \textit{S. H. Saker} et al., Qual. Theory Dyn. Syst. 21, No. 1, Paper No. 4, 26 p. (2022; Zbl 1482.26042) Full Text: DOI
Wang, Ze Qun; Wei, Ming Quan; Zhang, Xing Song; Yan, Dun Yan Sharp constants on mixed norm spaces for fractional Hardy operators on Heisenberg group. (Chinese. English summary) Zbl 07592811 Acta Math. Sin., Chin. Ser. 64, No. 5, 811-820 (2021). MSC: 43A15 42B20 42B35 26A33 PDF BibTeX XML Cite \textit{Z. Q. Wang} et al., Acta Math. Sin., Chin. Ser. 64, No. 5, 811--820 (2021; Zbl 07592811) Full Text: Link
Dolbeault, Jean Functional inequalities: nonlinear flows and entropy methods as a tool for obtaining sharp and constructive results. (English) Zbl 1481.35006 Milan J. Math. 89, No. 2, 355-386 (2021). MSC: 35-02 35A23 26D10 35B06 35J60 35K55 46B70 46E35 49J40 49K20 49K30 53C21 PDF BibTeX XML Cite \textit{J. Dolbeault}, Milan J. Math. 89, No. 2, 355--386 (2021; Zbl 1481.35006) Full Text: DOI arXiv
Hussain, Amjad; Asim, Muhammad; Aslam, Muhammad; Jarad, Fahd Commutators of the fractional Hardy operator on weighted variable Herz-Morrey spaces. (English) Zbl 07420411 J. Funct. Spaces 2021, Article ID 9705250, 10 p. (2021). Reviewer: Oleksiy Karlovych (Lisboa) MSC: 42B20 46E30 PDF BibTeX XML Cite \textit{A. Hussain} et al., J. Funct. Spaces 2021, Article ID 9705250, 10 p. (2021; Zbl 07420411) Full Text: DOI
Lai, Baofeng; Wang, Runqiu On the best constant problem for a class of mixed-norm Hardy inequalities. (English) Zbl 1465.26020 Acta Appl. Math. 172, Paper No. 5, 21 p. (2021). MSC: 26D15 26A33 PDF BibTeX XML Cite \textit{B. Lai} and \textit{R. Wang}, Acta Appl. Math. 172, Paper No. 5, 21 p. (2021; Zbl 1465.26020) Full Text: DOI
Saker, S. H.; Osman, M. M.; O’Regan, D.; Agarwal, R. P. Hardy-type operators with general kernels and characterizations of dynamic weighted inequalities. (English) Zbl 1473.26032 Ann. Pol. Math. 126, No. 1, 55-78 (2021). Reviewer: Raghib Abu-Saris (Edmonton) MSC: 26D15 26A15 26D10 34A40 39A13 PDF BibTeX XML Cite \textit{S. H. Saker} et al., Ann. Pol. Math. 126, No. 1, 55--78 (2021; Zbl 1473.26032) Full Text: DOI
Chen, Lu; Lu, Guozhen; Zhang, Caifeng Maximizers for fractional Caffarelli-Kohn-Nirenberg and Trudinger-Moser inequalities on the fractional Sobolev spaces. (English) Zbl 1465.35206 J. Geom. Anal. 31, No. 4, 3556-3582 (2021). MSC: 35J60 35J92 35R11 46E35 PDF BibTeX XML Cite \textit{L. Chen} et al., J. Geom. Anal. 31, No. 4, 3556--3582 (2021; Zbl 1465.35206) Full Text: DOI
Osękowski, Adam; Rapicki, Mateusz Sharp Lorentz-norm estimates for dyadic-like maximal operators. (English) Zbl 1464.42015 Stud. Math. 257, No. 1, 87-110 (2021). Reviewer: Fayou Zhao (Shanghai) MSC: 42B25 60G42 PDF BibTeX XML Cite \textit{A. Osękowski} and \textit{M. Rapicki}, Stud. Math. 257, No. 1, 87--110 (2021; Zbl 1464.42015) Full Text: DOI
Biswas, Mrinmay On the best constant of the one-dimensional Bliss inequality. (English) Zbl 1467.26013 Houston J. Math. 46, No. 1, 189-200 (2020). Reviewer: James Adedayo Oguntuase (Abeokuta) MSC: 26D15 26D20 PDF BibTeX XML Cite \textit{M. Biswas}, Houston J. Math. 46, No. 1, 189--200 (2020; Zbl 1467.26013) Full Text: Link
Ruzhansky, Michael; Suragan, Durvudkhan; Yessirkegenov, Nurgissa Euler semigroup, Hardy-Sobolev and Gagliardo-Nirenberg type inequalities on homogeneous groups. (English) Zbl 1468.22009 Semigroup Forum 101, No. 1, 162-191 (2020). MSC: 22A20 22E30 43A80 46E35 PDF BibTeX XML Cite \textit{M. Ruzhansky} et al., Semigroup Forum 101, No. 1, 162--191 (2020; Zbl 1468.22009) Full Text: DOI arXiv
Perrotta, Adamaria On a generalized Egnell inequality. (English) Zbl 1444.49005 Math. Inequal. Appl. 23, No. 2, 677-687 (2020). MSC: 49J40 49K20 26D10 39B62 PDF BibTeX XML Cite \textit{A. Perrotta}, Math. Inequal. Appl. 23, No. 2, 677--687 (2020; Zbl 1444.49005) Full Text: DOI
Wang, Zequn; Wei, Mingquan; He, Qianjun; Yan, Dunyan Sharp bounds for fractional conjugate Hardy operator on higher-dimensional product spaces. (English) Zbl 1437.47016 J. Funct. Spaces 2020, Article ID 5064156, 8 p. (2020). MSC: 47B38 47A30 46E30 42B20 26A33 PDF BibTeX XML Cite \textit{Z. Wang} et al., J. Funct. Spaces 2020, Article ID 5064156, 8 p. (2020; Zbl 1437.47016) Full Text: DOI
Li, Ying; Mao, Yong-Hua The optimal constant in generalized Hardy’s inequality. (English) Zbl 1439.26041 Math. Inequal. Appl. 23, No. 1, 257-266 (2020). Reviewer: James Adedayo Oguntuase (Abeokuta) MSC: 26D10 26D15 26A30 PDF BibTeX XML Cite \textit{Y. Li} and \textit{Y.-H. Mao}, Math. Inequal. Appl. 23, No. 1, 257--266 (2020; Zbl 1439.26041) Full Text: DOI arXiv
Hussain, Amjad; Sarfraz, Naqash Optimal weak type estimates for \(p\)-adic Hardy operators. (English) Zbl 1434.42034 \(p\)-Adic Numbers Ultrametric Anal. Appl. 12, No. 1, 29-38 (2020). MSC: 42B30 42B20 26D10 PDF BibTeX XML Cite \textit{A. Hussain} and \textit{N. Sarfraz}, \(p\)-Adic Numbers Ultrametric Anal. Appl. 12, No. 1, 29--38 (2020; Zbl 1434.42034) Full Text: DOI
Huang, Qingzhong; Li, Ai-Jun The \(L^p\) Gagliardo-Nirenberg-Zhang inequality. (English) Zbl 1443.46022 Adv. Appl. Math. 113, Article ID 101971, 21 p. (2020). MSC: 46E35 52A40 52A20 52A39 26D10 26D15 PDF BibTeX XML Cite \textit{Q. Huang} and \textit{A.-J. Li}, Adv. Appl. Math. 113, Article ID 101971, 21 p. (2020; Zbl 1443.46022) Full Text: DOI
Saker, S. H.; Sayed, A. G.; Sikorska-Nowak, A.; Abohela, I. New characterizations of weights in Hardy and Opial type inequalities via solvability of dynamic equations. (English) Zbl 1453.26031 Discrete Dyn. Nat. Soc. 2019, Article ID 6757080, 13 p. (2019). MSC: 26D15 26E70 PDF BibTeX XML Cite \textit{S. H. Saker} et al., Discrete Dyn. Nat. Soc. 2019, Article ID 6757080, 13 p. (2019; Zbl 1453.26031) Full Text: DOI
He, Qianjun; Li, Xiang; Yan, Dunyan Sharp bounds for Hardy type operators on higher-dimensional product spaces. (English) Zbl 1409.42010 Front. Math. China 13, No. 6, 1341-1353 (2018). MSC: 42B20 42B25 PDF BibTeX XML Cite \textit{Q. He} et al., Front. Math. China 13, No. 6, 1341--1353 (2018; Zbl 1409.42010) Full Text: DOI arXiv
Baird, Paul; Ou, Ye-Lin Biharmonic conformal maps in dimension four and equations of Yamabe-type. (English) Zbl 1425.58008 J. Geom. Anal. 28, No. 4, 3892-3905 (2018). Reviewer: Vladimir Balan (Bucureşti) MSC: 58E20 53A30 PDF BibTeX XML Cite \textit{P. Baird} and \textit{Y.-L. Ou}, J. Geom. Anal. 28, No. 4, 3892--3905 (2018; Zbl 1425.58008) Full Text: DOI arXiv
Birindelli, Isabeau; Galise, Giulio; Leoni, Fabiana; Pacella, Filomena Concentration and energy invariance for a class of fully nonlinear elliptic equations. (English) Zbl 1402.35111 Calc. Var. Partial Differ. Equ. 57, No. 6, Paper No. 158, 22 p. (2018). Reviewer: Dian K. Palagachev (Bari) MSC: 35J60 35B09 35B40 35B44 PDF BibTeX XML Cite \textit{I. Birindelli} et al., Calc. Var. Partial Differ. Equ. 57, No. 6, Paper No. 158, 22 p. (2018; Zbl 1402.35111) Full Text: DOI arXiv
Dong, Mengxia Existence of extremal functions for higher-order Caffarelli-Kohn-Nirenberg inequalities. (English) Zbl 1397.35006 Adv. Nonlinear Stud. 18, No. 3, 543-553 (2018). MSC: 35A23 PDF BibTeX XML Cite \textit{M. Dong}, Adv. Nonlinear Stud. 18, No. 3, 543--553 (2018; Zbl 1397.35006) Full Text: DOI
Yu, Haixia; Li, Junfeng Sharp weak bounds for \(n\)-dimensional fractional Hardy operators. (English) Zbl 1393.42018 Front. Math. China 13, No. 2, 449-457 (2018). MSC: 42B20 42B35 PDF BibTeX XML Cite \textit{H. Yu} and \textit{J. Li}, Front. Math. China 13, No. 2, 449--457 (2018; Zbl 1393.42018) Full Text: DOI
Liu, Yu; Xiao, Jie Functional capacities on the Grushin space \({\mathbb {G}}^n_\alpha \). (English) Zbl 1394.31006 Ann. Mat. Pura Appl. (4) 197, No. 3, 673-702 (2018). MSC: 31C15 PDF BibTeX XML Cite \textit{Y. Liu} and \textit{J. Xiao}, Ann. Mat. Pura Appl. (4) 197, No. 3, 673--702 (2018; Zbl 1394.31006) Full Text: DOI
Seuffert, Francis An extension of the Bianchi-Egnell stability estimate to Bakry, Gentil, and Ledoux’s generalization of the Sobolev inequality to continuous dimensions. (English) Zbl 1380.26019 J. Funct. Anal. 273, No. 10, 3094-3149 (2017); corrigendum ibid. 281, No. 5, Article ID 109073, 2 p. (2021). Reviewer: József Sándor (Cluj-Napoca) MSC: 26D15 39B72 46E35 PDF BibTeX XML Cite \textit{F. Seuffert}, J. Funct. Anal. 273, No. 10, 3094--3149 (2017; Zbl 1380.26019) Full Text: DOI arXiv
Sánchez, Justino; Vergara, Vicente Bounded solutions of a \(k\)-Hessian equation involving a weighted nonlinear source. (English) Zbl 1368.35136 J. Differ. Equations 263, No. 1, 687-708 (2017). Reviewer: Alessandro Selvitella (Hamilton) MSC: 35J62 34C37 PDF BibTeX XML Cite \textit{J. Sánchez} and \textit{V. Vergara}, J. Differ. Equations 263, No. 1, 687--708 (2017; Zbl 1368.35136) Full Text: DOI arXiv
Killip, Rowan; Miao, Changxing; Visan, Monica; Zhang, Junyong; Zheng, Jiqiang The energy-critical NLS with inverse-square potential. (English) Zbl 1366.35168 Discrete Contin. Dyn. Syst. 37, No. 7, 3831-3866 (2017). Reviewer: Thomas Ernst (Uppsala) MSC: 35Q55 35P25 47J35 35A15 PDF BibTeX XML Cite \textit{R. Killip} et al., Discrete Contin. Dyn. Syst. 37, No. 7, 3831--3866 (2017; Zbl 1366.35168) Full Text: DOI arXiv
do Ó, João Marcos; de Oliveira, José Francisco Concentration-compactness and extremal problems for a weighted Trudinger-Moser inequality. (English) Zbl 1368.46034 Commun. Contemp. Math. 19, No. 1, Article ID 1650003, 26 p. (2017). MSC: 46E35 26D10 35B33 35J62 PDF BibTeX XML Cite \textit{J. M. do Ó} and \textit{J. F. de Oliveira}, Commun. Contemp. Math. 19, No. 1, Article ID 1650003, 26 p. (2017; Zbl 1368.46034) Full Text: DOI
Liao, Zhong Wei Discrete weighted Hardy inequalities with different kinds of boundary conditions. (English) Zbl 1351.26035 Acta Math. Sin., Engl. Ser. 32, No. 9, 993-1013 (2016). MSC: 26D10 34L15 PDF BibTeX XML Cite \textit{Z. W. Liao}, Acta Math. Sin., Engl. Ser. 32, No. 9, 993--1013 (2016; Zbl 1351.26035) Full Text: DOI arXiv
Saker, S. H.; Mahmoud, R. R.; Peterson, A. Weighted Hardy-type inequalities on time scales with applications. (English) Zbl 1342.26064 Mediterr. J. Math. 13, No. 2, 585-606 (2016). MSC: 26E70 26D15 34N05 PDF BibTeX XML Cite \textit{S. H. Saker} et al., Mediterr. J. Math. 13, No. 2, 585--606 (2016; Zbl 1342.26064) Full Text: DOI
Sánchez, Justino; Vergara, Vicente Bounded solutions of a \(k\)-Hessian equation in a ball. (English) Zbl 1339.35128 J. Differ. Equations 261, No. 1, 797-820 (2016). MSC: 35J62 35B33 34C37 34C20 PDF BibTeX XML Cite \textit{J. Sánchez} and \textit{V. Vergara}, J. Differ. Equations 261, No. 1, 797--820 (2016; Zbl 1339.35128) Full Text: DOI arXiv
Castorina, Daniele; Sanchón, Manel Regularity of stable solutions of \(p\)-Laplace equations through geometric Sobolev type inequalities. (English) Zbl 1332.35129 J. Eur. Math. Soc. (JEMS) 17, No. 11, 2949-2975 (2015). Reviewer: Vincenzo Vespri (Firenze) MSC: 35J92 35J60 35B45 35B65 PDF BibTeX XML Cite \textit{D. Castorina} and \textit{M. Sanchón}, J. Eur. Math. Soc. (JEMS) 17, No. 11, 2949--2975 (2015; Zbl 1332.35129) Full Text: DOI arXiv
Fusco, Nicola The quantitative isoperimetric inequality and related topics. (English) Zbl 1327.49076 Bull. Math. Sci. 5, No. 3, 517-607 (2015). MSC: 49Q20 49Q10 46E35 PDF BibTeX XML Cite \textit{N. Fusco}, Bull. Math. Sci. 5, No. 3, 517--607 (2015; Zbl 1327.49076) Full Text: DOI
Dolbeault, Jean; Esteban, Maria J.; Jankowiak, Gaspard The Moser-Trudinger-Onofri inequality. (English) Zbl 1347.46024 Chin. Ann. Math., Ser. B 36, No. 5, 777-802 (2015). MSC: 46E35 26D10 35K55 58J60 PDF BibTeX XML Cite \textit{J. Dolbeault} et al., Chin. Ann. Math., Ser. B 36, No. 5, 777--802 (2015; Zbl 1347.46024) Full Text: DOI arXiv
Chen, Mu-Fa The optimal constant in Hardy-type inequalities. (English) Zbl 1318.26035 Acta Math. Sin., Engl. Ser. 31, No. 5, 731-754 (2015). MSC: 26D10 34L15 PDF BibTeX XML Cite \textit{M.-F. Chen}, Acta Math. Sin., Engl. Ser. 31, No. 5, 731--754 (2015; Zbl 1318.26035) Full Text: DOI arXiv
Kuznetsov, Nikolay; Nazarov, Alexander Sharp constants in the Poincaré, Steklov and related inequalities (a survey). (English) Zbl 1321.26042 Mathematika 61, No. 2, 328-344 (2015). Reviewer: József Sándor (Cluj-Napoca) MSC: 26D10 46E35 35A23 PDF BibTeX XML Cite \textit{N. Kuznetsov} and \textit{A. Nazarov}, Mathematika 61, No. 2, 328--344 (2015; Zbl 1321.26042) Full Text: DOI
Catrina, Florin; Wang, Zhi-Qiang Diagonals of Green’s functions and applications. (English) Zbl 1317.35038 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 119, 398-418 (2015). MSC: 35J25 35J70 35J60 PDF BibTeX XML Cite \textit{F. Catrina} and \textit{Z.-Q. Wang}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 119, 398--418 (2015; Zbl 1317.35038) Full Text: DOI
Takemura, Kazuo; Nagai, Atsushi; Kametaka, Yoshinori; Watanabe, Kohtaro; Yamagishi, Hiroyuki Sobolev inequality of free boundary value problem for \((-1)^{M}(d/dx)^{2M}\). (English) Zbl 1335.46032 J. Inequal. Appl. 2015, Paper No. 54, 20 p. (2015). MSC: 46E35 34B27 PDF BibTeX XML Cite \textit{K. Takemura} et al., J. Inequal. Appl. 2015, Paper No. 54, 20 p. (2015; Zbl 1335.46032) Full Text: DOI
Osȩkowski, Adam A new approach to Hardy-type inequalities. (English) Zbl 1318.26046 Arch. Math. 104, No. 2, 165-176 (2015). Reviewer: James Adedayo Oguntuase (Abeokuta) MSC: 26D15 26D10 26A46 PDF BibTeX XML Cite \textit{A. Osȩkowski}, Arch. Math. 104, No. 2, 165--176 (2015; Zbl 1318.26046) Full Text: DOI
Carlen, Eric A.; Frank, Rupert L.; Lieb, Elliott H. Stability estimates for the lowest eigenvalue of a Schrödinger operator. (English) Zbl 1291.35145 Geom. Funct. Anal. 24, No. 1, 63-84 (2014). Reviewer: Michael Perelmuter (Kyïv) MSC: 35P15 35J10 26D15 PDF BibTeX XML Cite \textit{E. A. Carlen} et al., Geom. Funct. Anal. 24, No. 1, 63--84 (2014; Zbl 1291.35145) Full Text: DOI arXiv Link
Hasnaoui, Abdelhalim; Hermi, Lotfi Isoperimetric inequalities for a wedge-like membrane. (English) Zbl 1302.49060 Ann. Henri Poincaré 15, No. 2, 369-406 (2014). MSC: 49Q05 35J05 35J20 35P15 35Q74 58C40 74K15 PDF BibTeX XML Cite \textit{A. Hasnaoui} and \textit{L. Hermi}, Ann. Henri Poincaré 15, No. 2, 369--406 (2014; Zbl 1302.49060) Full Text: DOI
Yang, Yang; Zhang, Jihui; Gu, Xiusong Existence of multiple solutions for the Brezis-Nirenberg-type problem with singular coefficients. (English) Zbl 1283.35048 Bound. Value Probl. 2012, Paper No. 137, 8 p. (2012). MSC: 35J75 49J35 PDF BibTeX XML Cite \textit{Y. Yang} et al., Bound. Value Probl. 2012, Paper No. 137, 8 p. (2012; Zbl 1283.35048) Full Text: DOI
Brock, F.; Chiacchio, F.; Mercaldo, A. Weighted isoperimetric inequalities in cones and applications. (English) Zbl 1253.26049 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 15, 5737-5755 (2012). MSC: 26D20 35J70 46E35 PDF BibTeX XML Cite \textit{F. Brock} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 15, 5737--5755 (2012; Zbl 1253.26049) Full Text: DOI arXiv
Waliullah, Shoyeb Higher order singular problems of Caffarelli-Kohn-Nirenberg-Lin type. (English) Zbl 1229.35048 J. Math. Anal. Appl. 385, No. 2, 721-736 (2012). MSC: 35J20 35J70 46E35 PDF BibTeX XML Cite \textit{S. Waliullah}, J. Math. Anal. Appl. 385, No. 2, 721--736 (2012; Zbl 1229.35048) Full Text: DOI
Xiao, Ying-Xiong Remarks on inequalities of Hardy-Sobolev type. (English) Zbl 1275.26031 J. Inequal. Appl. 2011, Paper No. 132, 8 p. (2011). MSC: 26D10 46E35 PDF BibTeX XML Cite \textit{Y.-X. Xiao}, J. Inequal. Appl. 2011, Paper No. 132, 8 p. (2011; Zbl 1275.26031) Full Text: DOI
Zographopoulos, N. B. Existence of extremal functions for a Hardy-Sobolev inequality. (English) Zbl 1200.26034 J. Funct. Anal. 259, No. 1, 308-314 (2010). Reviewer: Sanja Varošanec (Zagreb) MSC: 26D15 26D10 PDF BibTeX XML Cite \textit{N. B. Zographopoulos}, J. Funct. Anal. 259, No. 1, 308--314 (2010; Zbl 1200.26034) Full Text: DOI
Takemura, Kazuo The best constant of Sobolev inequality corresponding to clamped-free boundary value problem for \((-1)^M(d/dx)^{2M}\). (English) Zbl 1206.34048 Proc. Japan Acad., Ser. A 85, No. 8, 112-117 (2009). Reviewer: Klaus R. Schneider (Berlin) MSC: 34B27 34B05 46E22 41A44 PDF BibTeX XML Cite \textit{K. Takemura}, Proc. Japan Acad., Ser. A 85, No. 8, 112--117 (2009; Zbl 1206.34048) Full Text: DOI
Cianchi, A.; Fusco, N.; Maggi, F.; Pratelli, A. The sharp Sobolev inequality in quantitative form. (English) Zbl 1185.46025 J. Eur. Math. Soc. (JEMS) 11, No. 5, 1105-1139 (2009). Reviewer: Liu Zheng (Anshan) MSC: 46E35 26D10 26D15 PDF BibTeX XML Cite \textit{A. Cianchi} et al., J. Eur. Math. Soc. (JEMS) 11, No. 5, 1105--1139 (2009; Zbl 1185.46025) Full Text: DOI Link
Haberl, Christoph; Schuster, Franz E. Asymmetric affine \(L_p\) Sobolev inequalities. (English) Zbl 1180.46023 J. Funct. Anal. 257, No. 3, 641-658 (2009). Reviewer: Liu Zheng (Anshan) MSC: 46E35 26D10 26D15 PDF BibTeX XML Cite \textit{C. Haberl} and \textit{F. E. Schuster}, J. Funct. Anal. 257, No. 3, 641--658 (2009; Zbl 1180.46023) Full Text: DOI
Cianchi, Andrea Quantitative Sobolev and Hardy inequalities, and related symmetrization principles. (English) Zbl 1179.26054 Maz’ya, Vladimir (ed.), Sobolev spaces in mathematics. I: Sobolev type inequalities. New York, NY: Springer; Novosibirsk: Tamara Rozhkovskaya Publisher (ISBN 978-0-387-85647-6/hbk; 978-5-901873-24-3/hbk; 978-0-387-85648-3/ebook; 978-0-387-85791-6/set). International Mathematical Series 8, 87-116 (2009). MSC: 26D10 26D15 46E30 46E35 PDF BibTeX XML Cite \textit{A. Cianchi}, in: Sobolev spaces in mathematics. I: Sobolev type inequalities. New York, NY: Springer; Novosibirsk: Tamara Rozhkovskaya Publisher. 87--116 (2009; Zbl 1179.26054) Full Text: DOI
He, Xiaoming; Zou, Wenming Multiple solutions for the Brezis-Nirenberg problem with a Hardy potential and singular coefficients. (English) Zbl 1155.35349 Comput. Math. Appl. 56, No. 4, 1025-1031 (2008). MSC: 35J60 35J25 35D05 35J20 58E05 PDF BibTeX XML Cite \textit{X. He} and \textit{W. Zou}, Comput. Math. Appl. 56, No. 4, 1025--1031 (2008; Zbl 1155.35349) Full Text: DOI
Maggi, F. Some methods for studying stability in isoperimetric type problems. (English) Zbl 1146.49037 Bull. Am. Math. Soc., New Ser. 45, No. 3, 367-408 (2008). MSC: 49Q20 49K40 PDF BibTeX XML Cite \textit{F. Maggi}, Bull. Am. Math. Soc., New Ser. 45, No. 3, 367--408 (2008; Zbl 1146.49037) Full Text: DOI
Nazarov, Alexander I. Dirichlet and Neumann problems to critical Emden-Fowler type equations. (English) Zbl 1295.49003 J. Glob. Optim. 40, No. 1-3, 289-303 (2008). MSC: 49J20 35J20 35J60 PDF BibTeX XML Cite \textit{A. I. Nazarov}, J. Glob. Optim. 40, No. 1--3, 289--303 (2008; Zbl 1295.49003) Full Text: DOI
Xuan, Benjin; Su, Shaowei; Yan, Yajun Existence results for Brezis-Nirenberg problems with Hardy potential and singular coefficients. (English) Zbl 1387.35261 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 67, No. 7, 2091-2106 (2007). MSC: 35J60 35B33 35B38 35J20 47J30 58E05 PDF BibTeX XML Cite \textit{B. Xuan} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 67, No. 7, 2091--2106 (2007; Zbl 1387.35261) Full Text: DOI
Dem’yanov, A. V.; Nazarov, A. I. On the existence of extremal functions in Sobolev embedding theorems with critical exponents. (English. Russian original) Zbl 1113.49010 St. Petersbg. Math. J. 17, No. 5, 773-796 (2006); translation from Algebra Anal. 17, No. 5, 105-140 (2005). MSC: 49J40 49K30 35J20 35J60 PDF BibTeX XML Cite \textit{A. V. Dem'yanov} and \textit{A. I. Nazarov}, St. Petersbg. Math. J. 17, No. 5, 773--796 (2006; Zbl 1113.49010); translation from Algebra Anal. 17, No. 5, 105--140 (2005) Full Text: DOI
Maz’ya, Vladimir Conductor and capacitary inequalities for functions on topological spaces and their applications to Sobolev-type imbeddings. (English) Zbl 1105.46017 J. Funct. Anal. 224, No. 2, 408-430 (2005). Reviewer: Luboš Pick (Praha) MSC: 46E35 46E15 26D10 PDF BibTeX XML Cite \textit{V. Maz'ya}, J. Funct. Anal. 224, No. 2, 408--430 (2005; Zbl 1105.46017) Full Text: DOI
Chang, Sun-Yung Alice Conformal invariants and partial differential equations. (English) Zbl 1087.53019 Bull. Am. Math. Soc., New Ser. 42, No. 3, 365-393 (2005). Reviewer: Cornelia-Livia Bejan (Iaşi) MSC: 53A30 58J05 35J60 53C20 PDF BibTeX XML Cite \textit{S.-Y. A. Chang}, Bull. Am. Math. Soc., New Ser. 42, No. 3, 365--393 (2005; Zbl 1087.53019) Full Text: DOI
Watanabe, Kohtaro; Yamada, Takeo; Takahashi, Wataru Reproducing kernels of \(H^m (a,b)\) \((m= 1,2,3)\) and least constants in Sobolev’s inequalities. (English) Zbl 1051.46021 Appl. Anal. 82, No. 8, 809-820 (2003). Reviewer: Bohumír Opic (Praha) MSC: 46E35 34B27 PDF BibTeX XML Cite \textit{K. Watanabe} et al., Appl. Anal. 82, No. 8, 809--820 (2003; Zbl 1051.46021) Full Text: DOI
Ghoussoub, N.; Yuan, C. Multiple solutions for quasi-linear PDEs involving the critical Sobolev and Hardy exponents. (English) Zbl 0956.35056 Trans. Am. Math. Soc. 352, No. 12, 5703-5743 (2000). Reviewer: Andrey E.Shishkov (Donetsk) MSC: 35J70 47J30 58E30 PDF BibTeX XML Cite \textit{N. Ghoussoub} and \textit{C. Yuan}, Trans. Am. Math. Soc. 352, No. 12, 5703--5743 (2000; Zbl 0956.35056) Full Text: DOI
Weidemaier, Peter; Sinnamon, Gord Perturbed weighted Hardy inequalities. (English) Zbl 0935.26007 J. Math. Anal. Appl. 234, No. 1, 287-292 (1999). Reviewer: B.Opic (Praha) MSC: 26D15 PDF BibTeX XML Cite \textit{P. Weidemaier} and \textit{G. Sinnamon}, J. Math. Anal. Appl. 234, No. 1, 287--292 (1999; Zbl 0935.26007) Full Text: DOI
Sinnamon, Gord One-dimensional Hardy-type inequalities in many dimensions. (English) Zbl 0910.26009 Proc. R. Soc. Edinb., Sect. A, Math. 128, No. 4, 833-848 (1998). Reviewer: B.Opic (Praha) MSC: 26D15 PDF BibTeX XML Cite \textit{G. Sinnamon}, Proc. R. Soc. Edinb., Sect. A, Math. 128, No. 4, 833--848 (1998; Zbl 0910.26009) Full Text: DOI
Baernstein, Albert II; Loss, Michael Some conjectures about \(L^{p}\) norms of \(k\)-plane transforms. (English) Zbl 1016.44002 Rend. Semin. Mat. Fis. Milano 67, 9-26 (1997). Reviewer: Peter Raith (Wien) MSC: 44A12 28A75 46E30 PDF BibTeX XML Cite \textit{A. Baernstein II} and \textit{M. Loss}, Rend. Semin. Mat. Fis. Milano 67, 9--26 (1997; Zbl 1016.44002) Full Text: DOI
Bergh, Jöran; Burenkov, Victor; Persson, Lars Erik On some sharp reversed Hölder and Hardy type inequalities. (English) Zbl 0829.26008 Math. Nachr. 169, 19-29 (1994). Reviewer: B.P.Duggal (Al-Khod / Oman) MSC: 26D15 41A05 PDF BibTeX XML Cite \textit{J. Bergh} et al., Math. Nachr. 169, 19--29 (1994; Zbl 0829.26008) Full Text: DOI
Rao, Murali; Šikić, Hrvoje Potential inequality. (English) Zbl 0786.31006 Isr. J. Math. 83, No. 1-2, 97-127 (1993). Reviewer: S.G.Samko (Rostov-na-Donu) MSC: 31B99 47G99 PDF BibTeX XML Cite \textit{M. Rao} and \textit{H. Šikić}, Isr. J. Math. 83, No. 1--2, 97--127 (1993; Zbl 0786.31006) Full Text: DOI
Dacorogna, B.; Murat, F. On the optimality of certain Sobolev exponents for the weak continuity of determinants. (English) Zbl 0769.46025 J. Funct. Anal. 105, No. 1, 42-62 (1992). Reviewer: T.Kilpeläinen (Jyväskylä) MSC: 46E35 PDF BibTeX XML Cite \textit{B. Dacorogna} and \textit{F. Murat}, J. Funct. Anal. 105, No. 1, 42--62 (1992; Zbl 0769.46025) Full Text: DOI
Brézis, Haïm; Lieb, Elliott H. Sobolev inequalities with remainder terms. (English) Zbl 0577.46031 J. Funct. Anal. 62, 73-86 (1985). MSC: 46E35 PDF BibTeX XML Cite \textit{H. Brézis} and \textit{E. H. Lieb}, J. Funct. Anal. 62, 73--86 (1985; Zbl 0577.46031) Full Text: DOI
Levine, Howard A. An estimate for the best constant in a Sobolev inequality involving three integral norms. (English) Zbl 0442.46028 Ann. Mat. Pura Appl., IV. Ser. 124, 181-197 (1980). MSC: 46E35 26D15 33C10 PDF BibTeX XML Cite \textit{H. A. Levine}, Ann. Mat. Pura Appl. (4) 124, 181--197 (1980; Zbl 0442.46028) Full Text: DOI
Talenti, Giorgio Best constant in Sobolev inequality. (English) Zbl 0353.46018 Ann. Mat. Pura Appl., IV. Ser. 110, 353-372 (1976). MSC: 46E35 28A75 26D10 49Q20 52A40 49Q15 PDF BibTeX XML Cite \textit{G. Talenti}, Ann. Mat. Pura Appl. (4) 110, 353--372 (1976; Zbl 0353.46018) Full Text: DOI
Talenti, Giorgio Elliptic equations and rearrangements. (English) Zbl 0341.35031 Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 3, 697-718 (1976). MSC: 35J15 35B45 35B05 PDF BibTeX XML Cite \textit{G. Talenti}, Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 3, 697--718 (1976; Zbl 0341.35031) Full Text: Numdam EuDML
Graves, L. M. Gilbert Ames Bliss. 1876-1951. (English) Zbl 0046.00204 Bull. Am. Math. Soc. 58, 251-264 (1952). PDF BibTeX XML Cite \textit{L. M. Graves}, Bull. Am. Math. Soc. 58, 251--264 (1952; Zbl 0046.00204) Full Text: DOI