Benavides, Gonzalo A.; Domínguez-Rivera, Sebastián A. Korn’s inequality in anisotropic Sobolev spaces. (English) Zbl 07773418 J. Appl. Anal. 29, No. 2, 367-377 (2023). MSC: 26D10 35A23 74B05 74B20 PDF BibTeX XML Cite \textit{G. A. Benavides} and \textit{S. A. Domínguez-Rivera}, J. Appl. Anal. 29, No. 2, 367--377 (2023; Zbl 07773418) Full Text: DOI arXiv
Lewintan, Peter; Neff, Patrizio \(L^p\)-trace-free generalized Korn inequalities for incompatible tensor fields in three space dimensions. (English) Zbl 1504.35015 Proc. R. Soc. Edinb., Sect. A, Math. 152, No. 6, 1477-1508 (2022). MSC: 35A23 35B45 35Q74 46E35 PDF BibTeX XML Cite \textit{P. Lewintan} and \textit{P. Neff}, Proc. R. Soc. Edinb., Sect. A, Math. 152, No. 6, 1477--1508 (2022; Zbl 1504.35015) Full Text: DOI arXiv
Tasso, Emanuele On the blow-up of GSBV functions under suitable geometric properties of the jump set. (English) Zbl 1497.28003 Adv. Calc. Var. 15, No. 1, 59-108 (2022). MSC: 28A75 26B30 31C15 PDF BibTeX XML Cite \textit{E. Tasso}, Adv. Calc. Var. 15, No. 1, 59--108 (2022; Zbl 1497.28003) Full Text: DOI
Huang, Kuang; Du, Qiang Stability of a nonlocal traffic flow model for connected vehicles. (English) Zbl 1486.35293 SIAM J. Appl. Math. 82, No. 1, 221-243 (2022). Reviewer: Massimiliano Daniele Rosini (Lublin) MSC: 35L65 35B40 35R09 90B20 47G20 76A30 PDF BibTeX XML Cite \textit{K. Huang} and \textit{Q. Du}, SIAM J. Appl. Math. 82, No. 1, 221--243 (2022; Zbl 1486.35293) Full Text: DOI arXiv
Altayeb, Yousif New scenario of decay rate for system of three nonlinear wave equations with visco-elasticities. (English) Zbl 1484.35275 AIMS Math. 6, No. 7, 7251-7265 (2021). MSC: 35L05 35B35 35L70 35Q74 PDF BibTeX XML Cite \textit{Y. Altayeb}, AIMS Math. 6, No. 7, 7251--7265 (2021; Zbl 1484.35275) Full Text: DOI
Mallick, Arka; Nguyen, Hoai-Minh Exponential integrability in the spirit of Moser-Trudinger’s inequalities of functions with finite non-local, non-convex energy. (English) Zbl 1477.46042 Pure Appl. Funct. Anal. 5, No. 5, 1153-1165 (2020). MSC: 46E35 26B30 26D10 42B20 49J45 PDF BibTeX XML Cite \textit{A. Mallick} and \textit{H.-M. Nguyen}, Pure Appl. Funct. Anal. 5, No. 5, 1153--1165 (2020; Zbl 1477.46042) Full Text: arXiv Link
Ait-Akli, Djamel; Merakeb, Abdelkader Explicit \({H^1}\)-estimate for the solution of the Lamé system with mixed boundary conditions. (English) Zbl 1463.35246 J. Partial Differ. Equations 33, No. 1, 64-92 (2020). MSC: 35J57 74B05 PDF BibTeX XML Cite \textit{D. Ait-Akli} and \textit{A. Merakeb}, J. Partial Differ. Equations 33, No. 1, 64--92 (2020; Zbl 1463.35246) Full Text: DOI
Acosta, Gabriel; Durán, Ricardo G. Divergence operator and related inequalities. (English) Zbl 1394.35001 SpringerBriefs in Mathematics. New York, NY: Springer (ISBN 978-1-4939-6983-8/pbk; 978-1-4939-6985-2/ebook). xiii, 124 p. (2017). Reviewer: Javier Soria (Barcelona) MSC: 35-02 26D10 76D07 42B20 46E35 35Q30 PDF BibTeX XML Cite \textit{G. Acosta} and \textit{R. G. Durán}, Divergence operator and related inequalities. New York, NY: Springer (2017; Zbl 1394.35001) Full Text: DOI
Bauer, Sebastian; Neff, Patrizio; Pauly, Dirk; Starke, Gerhard Dev-Div- and Devsym-Devcurl-inequalities for incompatible square tensor fields with mixed boundary conditions. (English) Zbl 1337.35004 ESAIM, Control Optim. Calc. Var. 22, No. 1, 112-133 (2016). MSC: 35A23 35Q61 74C05 78A25 78A30 PDF BibTeX XML Cite \textit{S. Bauer} et al., ESAIM, Control Optim. Calc. Var. 22, No. 1, 112--133 (2016; Zbl 1337.35004) Full Text: DOI arXiv
Pesenson, Isaac Z. Average sampling and space-frequency localized frames on bounded domains. (English) Zbl 1328.42010 J. Complexity 31, No. 5, 675-688 (2015). Reviewer: Richard A. Zalik (Auburn) MSC: 42C15 94A20 PDF BibTeX XML Cite \textit{I. Z. Pesenson}, J. Complexity 31, No. 5, 675--688 (2015; Zbl 1328.42010) Full Text: DOI
Egert, Moritz; Haller-Dintelmann, Robert; Rehberg, Joachim Hardy’s inequality for functions vanishing on a part of the boundary. (English) Zbl 1331.26031 Potential Anal. 43, No. 1, 49-78 (2015). Reviewer: Petr Gurka (Praha) MSC: 26D10 26D15 42B20 42B37 PDF BibTeX XML Cite \textit{M. Egert} et al., Potential Anal. 43, No. 1, 49--78 (2015; Zbl 1331.26031) Full Text: DOI arXiv
Battaglia, Luca; Mancini, Gabriele Remarks on the Moser-Trudinger inequality. (English) Zbl 1290.46025 Adv. Nonlinear Anal. 2, No. 4, 389-425 (2013). MSC: 46E35 26D10 35A23 58E35 PDF BibTeX XML Cite \textit{L. Battaglia} and \textit{G. Mancini}, Adv. Nonlinear Anal. 2, No. 4, 389--425 (2013; Zbl 1290.46025) Full Text: DOI arXiv
Pechstein, Clemens Shape-explicit constants for some boundary integral operators. (English) Zbl 1281.65151 Appl. Anal. 92, No. 5, 949-974 (2013). Reviewer: Ariadna Lucia Pletea (Iaşi) MSC: 65N38 65N55 65N15 65N30 35J05 PDF BibTeX XML Cite \textit{C. Pechstein}, Appl. Anal. 92, No. 5, 949--974 (2013; Zbl 1281.65151) Full Text: DOI
Neff, Patrizio; Pauly, Dirk; Witsch, Karl-Josef A canonical extension of Korn’s first inequality to H(Curl) motivated by gradient plasticity with plastic spin. (English. French summary) Zbl 1234.35010 C. R., Math., Acad. Sci. Paris 349, No. 23-24, 1251-1254 (2011). MSC: 35A23 74C05 35B45 PDF BibTeX XML Cite \textit{P. Neff} et al., C. R., Math., Acad. Sci. Paris 349, No. 23--24, 1251--1254 (2011; Zbl 1234.35010) Full Text: DOI arXiv
Kafini, Mohammad Uniform decay of solutions to Cauchy viscoelastic problems with density. (English) Zbl 1227.35065 Electron. J. Differ. Equ. 2011, Paper No. 93, 9 p. (2011). MSC: 35B40 35L15 74D05 PDF BibTeX XML Cite \textit{M. Kafini}, Electron. J. Differ. Equ. 2011, Paper No. 93, 9 p. (2011; Zbl 1227.35065) Full Text: EMIS
Diening, Lars; Růžička, Michael; Schumacher, Katrin A decomposition technique for John domains. (English) Zbl 1194.26022 Ann. Acad. Sci. Fenn., Math. 35, No. 1, 87-114 (2010). Reviewer: Mehdi Hassani (Zanjan) MSC: 26D10 46E30 35Q35 PDF BibTeX XML Cite \textit{L. Diening} et al., Ann. Acad. Sci. Fenn., Math. 35, No. 1, 87--114 (2010; Zbl 1194.26022) Full Text: DOI
Amrouche, Chérif; Ciarlet, Philippe G.; Ciarlet, Patrick jun. Weak vector and scalar potentials: applications to Poincaré’s theorem and Korn’s inequality in Sobolev spaces with negative exponents. (English) Zbl 1190.49004 Anal. Appl., Singap. 8, No. 1, 1-17 (2010). MSC: 49J20 35Q93 35Q74 PDF BibTeX XML Cite \textit{C. Amrouche} et al., Anal. Appl., Singap. 8, No. 1, 1--17 (2010; Zbl 1190.49004) Full Text: DOI
Miclo, Laurent An asymptotic condition for computing the logarithmic Sobolev constant on the line. (Une condition asymptotique pour le calcul de constantes de Sobolev logarithmiques sur la droite.) (French. English summary) Zbl 1220.46022 Ann. Inst. Henri Poincaré, Probab. Stat. 45, No. 1, 146-156 (2009). MSC: 46E35 37A30 60E15 94A17 26D15 PDF BibTeX XML Cite \textit{L. Miclo}, Ann. Inst. Henri Poincaré, Probab. Stat. 45, No. 1, 146--156 (2009; Zbl 1220.46022) Full Text: DOI EuDML
Ozawa, Tohru; Sasaki, Hironobu Inequalities associated with dilations. (English) Zbl 1179.26057 Commun. Contemp. Math. 11, No. 2, 265-277 (2009). MSC: 26D10 46E35 PDF BibTeX XML Cite \textit{T. Ozawa} and \textit{H. Sasaki}, Commun. Contemp. Math. 11, No. 2, 265--277 (2009; Zbl 1179.26057) Full Text: DOI
Bjorland, Clayton; Schonbek, Maria E. Poincaré’s inequality and diffusive evolution equations. (English) Zbl 1169.35047 Adv. Differ. Equ. 14, No. 3-4, 241-260 (2009). Reviewer: Oleg Dementiev (Chelyabinsk) MSC: 35Q35 35-02 76B03 PDF BibTeX XML Cite \textit{C. Bjorland} and \textit{M. E. Schonbek}, Adv. Differ. Equ. 14, No. 3--4, 241--260 (2009; Zbl 1169.35047) Full Text: arXiv
Amrouche, Cherif; Ciarlet, Philippe G.; Gratie, Liliana; Kesavan, Srinivasan On the characterizations of matrix fields as linearized strain tensor fields. (English) Zbl 1115.35131 J. Math. Pures Appl. (9) 86, No. 2, 116-132 (2006). MSC: 35Q72 74B05 74G65 74B15 PDF BibTeX XML Cite \textit{C. Amrouche} et al., J. Math. Pures Appl. (9) 86, No. 2, 116--132 (2006; Zbl 1115.35131) Full Text: DOI
Cherednichenko, Kirill D. Two-scale asymptotics for non-local effects in composites with highly anisotropic fibres. (English) Zbl 1105.35012 Asymptotic Anal. 49, No. 1-2, 39-59 (2006). Reviewer: Alain Brillard (Mulhouse) MSC: 35B27 35J25 74E30 74Q05 PDF BibTeX XML Cite \textit{K. D. Cherednichenko}, Asymptotic Anal. 49, No. 1--2, 39--59 (2006; Zbl 1105.35012)
Li, Changjun; Oichi, Makito; Sato, Hiroki Jørgensen groups of parabolic type I (finite case). (English) Zbl 1096.30036 Comput. Methods Funct. Theory 5, No. 2, 409-430 (2005). Reviewer: Ernesto Martínez (Madrid) MSC: 30F40 20H10 32G15 PDF BibTeX XML Cite \textit{C. Li} et al., Comput. Methods Funct. Theory 5, No. 2, 409--430 (2005; Zbl 1096.30036) Full Text: DOI
Ponce, Augusto C. An estimate in the spirit of Poincaré’s inequality. (English) Zbl 1051.46019 J. Eur. Math. Soc. (JEMS) 6, No. 1, 1-15 (2004). Reviewer: Bohumír Opic (Praha) MSC: 46E35 46E30 26D15 PDF BibTeX XML Cite \textit{A. C. Ponce}, J. Eur. Math. Soc. (JEMS) 6, No. 1, 1--15 (2004; Zbl 1051.46019) Full Text: DOI
Nicaise, Serge; Penkin, Oleg M. Fundamental inequalities on firmly stratified sets and some applications. (English) Zbl 1221.35134 JIPAM, J. Inequal. Pure Appl. Math. 4, No. 1, Paper No. 9, 16 p. (2003). MSC: 35J50 35R05 PDF BibTeX XML Cite \textit{S. Nicaise} and \textit{O. M. Penkin}, JIPAM, J. Inequal. Pure Appl. Math. 4, No. 1, Paper No. 9, 16 p. (2003; Zbl 1221.35134) Full Text: EuDML EMIS
Garattini, R. Harnack’s inequality on homogeneous spaces. (English) Zbl 1030.35086 Ann. Mat. Pura Appl., IV. Ser. 179, 1-16 (2001). Reviewer: Marco Biroli (Milano) MSC: 35J70 31C25 35B05 35B65 PDF BibTeX XML Cite \textit{R. Garattini}, Ann. Mat. Pura Appl. (4) 179, 1--16 (2001; Zbl 1030.35086) Full Text: DOI arXiv
Carstensen, C.; Funken, S. A. Constants in Clément-interpolation error and residual based a posteriori error estimates in finite element methods. (English) Zbl 0973.65091 East-West J. Numer. Math. 8, No. 3, 153-175 (2000). Reviewer: Michel Bernadou (Paris La Defense) MSC: 65N15 35J05 65N30 PDF BibTeX XML Cite \textit{C. Carstensen} and \textit{S. A. Funken}, East-West J. Numer. Math. 8, No. 3, 153--175 (2000; Zbl 0973.65091)
Nazarov, A. I. On the “one-dimensionality” of the extremal in the Poincaré inequality in a square. (English. Russian original) Zbl 0999.49004 J. Math. Sci., New York 109, No. 5, 1928-1939 (2002); translation from Zap. Nauchn. Semin. POMI 259, 167-181 (1999). Reviewer: Vadim Komkov (Florida) MSC: 49J20 49R50 26D10 PDF BibTeX XML Cite \textit{A. I. Nazarov}, J. Math. Sci., New York 109, No. 5, 1928--1939 (1999; Zbl 0999.49004); translation from Zap. Nauchn. Semin. POMI 259, 167--181 (1999) Full Text: DOI MNR
Biroli, M. An elliptic problem with a layer. (English) Zbl 1059.35504 Nonlinear Bound. Value Probl. 9, 13-22 (1999). Reviewer: I. I. Skrypnik (Donetsk) MSC: 35J15 35B65 PDF BibTeX XML Cite \textit{M. Biroli}, Nonlinear Bound. Value Probl. 9, 13--22 (1999; Zbl 1059.35504)
Naumann, J.; Simader, C. G. A second look on definition and equivalent norms of Sobolev spaces. (English) Zbl 0941.46019 Math. Bohem. 124, No. 2-3, 315-328 (1999). MSC: 46E35 PDF BibTeX XML Cite \textit{J. Naumann} and \textit{C. G. Simader}, Math. Bohem. 124, No. 2--3, 315--328 (1999; Zbl 0941.46019) Full Text: EuDML
Hang, Fengbo; Lin, Fanghua Exponential growth solutions of elliptic equations. (English) Zbl 0932.35052 Acta Math. Sin., Engl. Ser. 15, No. 4, 525-534 (1999). MSC: 35J15 35B05 PDF BibTeX XML Cite \textit{F. Hang} and \textit{F. Lin}, Acta Math. Sin., Engl. Ser. 15, No. 4, 525--534 (1999; Zbl 0932.35052) Full Text: DOI
Nyström, Kaj An estimate of a polynomial capacity. (English) Zbl 0926.31006 Potential Anal. 9, No. 3, 217-227 (1998). Reviewer: V.Metz (Bielefeld) MSC: 31C45 31C15 PDF BibTeX XML Cite \textit{K. Nyström}, Potential Anal. 9, No. 3, 217--227 (1998; Zbl 0926.31006) Full Text: DOI
Stavrakakis, Nikos M. Global bifurcation results for semilinear elliptic equations on \(\mathbb{R}^N\): The Fredholm case. (English) Zbl 0899.35009 J. Differ. Equations 142, No. 1, 97-122 (1998). Reviewer: J.Hernandez (Madrid) MSC: 35B32 35P30 35J60 47H11 PDF BibTeX XML Cite \textit{N. M. Stavrakakis}, J. Differ. Equations 142, No. 1, 97--122 (1998; Zbl 0899.35009) Full Text: DOI
Hsiung, Chuan-Chih A first course in differential geometry. (English) Zbl 0948.53001 Cambridge, MA: International Press. xviii, 343 p. (1997). Reviewer: Mircea Craioveanu (Timişoara) MSC: 53-01 53A04 53C20 53A05 53C22 PDF BibTeX XML Cite \textit{C.-C. Hsiung}, A first course in differential geometry. Cambridge, MA: International Press (1997; Zbl 0948.53001)
Yin, Hongming \({\mathcal L}^{2,\mu}(Q)\)-estimates for parabolic equations and applications. (English) Zbl 0891.35021 J. Partial Differ. Equations 10, No. 1, 31-44 (1997). MSC: 35D10 35K20 35K55 35B45 PDF BibTeX XML Cite \textit{H. Yin}, J. Partial Differ. Equations 10, No. 1, 31--44 (1997; Zbl 0891.35021)
Glitzky, Annegret; Gröger, Konrad; Hünlich, Rolf Free energy and dissipation rate for reaction diffusion processes of electrically charged species. (English) Zbl 0871.35017 Appl. Anal. 60, No. 3-4, 201-217 (1996). Reviewer: A.Glitzky (Berlin) MSC: 35B45 35K50 35B40 35K57 78A35 PDF BibTeX XML Cite \textit{A. Glitzky} et al., Appl. Anal. 60, No. 3--4, 201--217 (1996; Zbl 0871.35017) Full Text: DOI
Song, Shiqi \(C\)-semigroups on Banach spaces and functional inequalities. (English) Zbl 0840.31011 Azéma, J. (ed.) et al., Séminaire de probabilités XXIX. Berlin: Springer-Verlag. Lect. Notes Math. 1613, 297-326 (1995). Reviewer: R.Song (Ann Arbor) MSC: 31C25 47D07 44A15 60J35 60J60 PDF BibTeX XML Cite \textit{S. Song}, Lect. Notes Math. 1613, 297--326 (1995; Zbl 0840.31011) Full Text: Numdam EuDML
Batty, C. J. K. Asymptotic stability of Schrödinger semigroups: Path integral methods. (English) Zbl 0736.35025 Math. Ann. 292, No. 3, 457-492 (1992). Reviewer: C.J.K.Batty MSC: 35J10 47A40 PDF BibTeX XML Cite \textit{C. J. K. Batty}, Math. Ann. 292, No. 3, 457--492 (1992; Zbl 0736.35025) Full Text: DOI EuDML
Viszus, Eugen A remark on one type of Poincaré’s inequality. (English) Zbl 0836.35025 Acta Math. Univ. Comenianae 56-57, 19-22 (1990). MSC: 35B65 35J15 26D10 PDF BibTeX XML Cite \textit{E. Viszus}, Acta Math. Univ. Comenianae 56--57, 19--22 (1990; Zbl 0836.35025)
Canavati, José A.; Galaz-Fontes, Fernando Compactness of embeddings between Banach spaces and applications to Sobolev spaces. (English) Zbl 0737.46015 J. Lond. Math. Soc., II. Ser. 41, No. 3, 511-525 (1990). Reviewer: J.F.Toland (Bath) MSC: 46E35 PDF BibTeX XML Cite \textit{J. A. Canavati} and \textit{F. Galaz-Fontes}, J. Lond. Math. Soc., II. Ser. 41, No. 3, 511--525 (1990; Zbl 0737.46015) Full Text: DOI
Gaultier, Maurice; Lezaun, Mikel Équations de Navier-Stokes couplées à des équations de la chaleur: Résolution par une méthode de point fixe en dimension infinie. (Navier-Stokes equations connected with heat equations: Solution by a fixed point method in infinite dimension). (French) Zbl 0716.35064 Ann. Sci. Math. Qué. 13, No. 1, 1-17 (1989). Reviewer: G.Dziuk MSC: 35Q30 35J55 47H10 PDF BibTeX XML Cite \textit{M. Gaultier} and \textit{M. Lezaun}, Ann. Sci. Math. Qué. 13, No. 1, 1--17 (1989; Zbl 0716.35064)
Headley, V. B. Nonoscillation theorems for nonselfadjoint even-order elliptic equations. (English) Zbl 0682.35008 Math. Nachr. 141, 289-297 (1989). Reviewer: V.B.Headley MSC: 35B05 35J30 PDF BibTeX XML Cite \textit{V. B. Headley}, Math. Nachr. 141, 289--297 (1989; Zbl 0682.35008) Full Text: DOI
Attouch, H.; Bouchitte, G.; Mabrouk, H. Variational formulations of semi-linear elliptic equations involving measures. (English) Zbl 0668.35030 Nonlinear variational problems, Vol. II, Proc. Int. Conf., Elba/Italy 1986, Pitman Research Notes Math. Ser. 193, 10-63 (1989). Reviewer: Th.M.Rassias MSC: 35J60 35A15 35J20 35A30 46E35 PDF BibTeX XML
Damlamian, Alain; Hager, William W.; Rostamian, Rouben Homogenization for degenerate equations of elasticity. (English) Zbl 0677.73013 Asymptotic Anal. 1, No. 4, 283-302 (1988). Reviewer: H.LeDret MSC: 74E05 74S30 74E30 PDF BibTeX XML Cite \textit{A. Damlamian} et al., Asymptotic Anal. 1, No. 4, 283--302 (1988; Zbl 0677.73013)
Peri, Carla Integral geometry in Minkowski plane. (English) Zbl 0663.53058 Rend. Semin. Mat., Torino 45, No. 1, 107-117 (1987). Reviewer: L.A.Santaló MSC: 53C65 52A22 PDF BibTeX XML Cite \textit{C. Peri}, Rend. Semin. Mat., Torino 45, No. 1, 107--117 (1987; Zbl 0663.53058)
Biroli, M. A Green function method to obtain an estimate on the modulus of continuity in a parabolic problem. (English) Zbl 0661.35039 Nonlinear parabolic equations: qualitative properties of solutions, Proc. Conf., Rome/Italy 1985, Pitman Res. Notes Math. Ser. 149, 41-49 (1987). Reviewer: C.Y.Chan MSC: 35K20 35B65 35K85 PDF BibTeX XML
Reddy, B. Dayanand Functional analysis and boundary-value problems: An introductory treatment. (English) Zbl 0653.46003 Pitman Monographs and Surveys in Pure and Applied Mathematics, 30. Harlow, Essex: Longman Scientific & Technical. Copubl. in the United States with John Wiley & Sons, Inc., New York. XII, 333 p.; £45.00 (1986). Reviewer: P.A.McCoy MSC: 46-01 46E35 47F05 35J40 46F05 46C05 47-01 35-01 35J20 35J25 65L60 PDF BibTeX XML
Pachpatte, B. G. A note on Poincaré’s integral inequality. (English) Zbl 0621.26009 An. Științ. Univ. Al. I. Cuza Iași, N. Ser., Secț. Ia 32, No. 2, 35-36 (1986). Reviewer: I.Raşa MSC: 26D10 PDF BibTeX XML Cite \textit{B. G. Pachpatte}, An. Științ. Univ. Al. I. Cuza Iași, N. Ser., Secț. Ia 32, No. 2, 35--36 (1986; Zbl 0621.26009)
Ito, Masato On weighted Sobolev spaces. (English) Zbl 0601.46039 Sci. Rep. Fac. Educ., Fukushima Univ. 36, 15-20 (1985). MSC: 46E35 PDF BibTeX XML Cite \textit{M. Ito}, Sci. Rep. Fac. Educ., Fukushima Univ. 36, 15--20 (1985; Zbl 0601.46039)
Rassias, Themistocles M. On some properties of harmonic mappings and the Poincaré inequality. (English) Zbl 0593.31003 Complex analysis and applications, Proc. Int. Conf., Varna/Bulg. 1981, 453-457 (1984). Reviewer: N.Jacob MSC: 31A05 35J05 PDF BibTeX XML
Kifle, Abiy A sufficient condition for Nikodym type domains. (English) Zbl 0434.35018 Afr. Mat. 2, No. 2, 13-17 (1980). MSC: 35B45 35R45 28A12 PDF BibTeX XML Cite \textit{A. Kifle}, Afr. Mat. 2, 13--17 (1980; Zbl 0434.35018)