Laptev, Ari; Read, Larry; Schimmer, Lukas Calogero type bounds in two dimensions. (English) Zbl 07571558 Arch. Ration. Mech. Anal. 245, No. 3, 1491-1505 (2022). MSC: 35Pxx 35Jxx 81Qxx PDF BibTeX XML Cite \textit{A. Laptev} et al., Arch. Ration. Mech. Anal. 245, No. 3, 1491--1505 (2022; Zbl 07571558) Full Text: DOI OpenURL
Hundertmark, Dirk; Kunstmann, Peer Christian; Ried, Tobias; Vugalter, Semjon Counting bound states with maximal Fourier multipliers. (English) Zbl 1479.35583 Exner, Pavel (ed.) et al., Partial differential equations, spectral theory, and mathematical physics. The Ari Laptev anniversary volume. Berlin: European Mathematical Society (EMS). EMS Ser. Congr. Rep., 197-207 (2021). MSC: 35P15 35J10 81Q10 PDF BibTeX XML Cite \textit{D. Hundertmark} et al., in: Partial differential equations, spectral theory, and mathematical physics. The Ari Laptev anniversary volume. Berlin: European Mathematical Society (EMS). 197--207 (2021; Zbl 1479.35583) Full Text: DOI OpenURL
Frank, Rupert L.; Gontier, David; Lewin, Mathieu The periodic Lieb-Thirring inequality. (English) Zbl 1480.81045 Exner, Pavel (ed.) et al., Partial differential equations, spectral theory, and mathematical physics. The Ari Laptev anniversary volume. Berlin: European Mathematical Society (EMS). EMS Ser. Congr. Rep., 135-154 (2021). MSC: 81Q10 35A23 35J10 35J61 PDF BibTeX XML Cite \textit{R. L. Frank} et al., in: Partial differential equations, spectral theory, and mathematical physics. The Ari Laptev anniversary volume. Berlin: European Mathematical Society (EMS). 135--154 (2021; Zbl 1480.81045) Full Text: DOI arXiv OpenURL
Frank, Rupert L.; Hundertmark, Dirk; Jex, Michal; Nam, Phan Thành The Lieb-Thirring inequality revisited. (English) Zbl 1467.35014 J. Eur. Math. Soc. (JEMS) 23, No. 8, 2583-2600 (2021). MSC: 35A23 35P15 81Q10 PDF BibTeX XML Cite \textit{R. L. Frank} et al., J. Eur. Math. Soc. (JEMS) 23, No. 8, 2583--2600 (2021; Zbl 1467.35014) Full Text: DOI arXiv OpenURL
Laptev, Ari On factorisation of a class of Schrödinger operators. (English) Zbl 1481.34100 Complex Var. Elliptic Equ. 66, No. 6-7, 1100-1107 (2021). Reviewer: Jonathan Rohleder (Stockholm) MSC: 34L15 34L40 81Q10 PDF BibTeX XML Cite \textit{A. Laptev}, Complex Var. Elliptic Equ. 66, No. 6--7, 1100--1107 (2021; Zbl 1481.34100) Full Text: DOI OpenURL
Frank, Rupert L.; Gontier, David; Lewin, Mathieu The nonlinear Schrödinger equation for orthonormal functions. II: Application to Lieb-Thirring inequalities. (English) Zbl 1465.35015 Commun. Math. Phys. 384, No. 3, 1783-1828 (2021). MSC: 35A23 35J10 35J61 PDF BibTeX XML Cite \textit{R. L. Frank} et al., Commun. Math. Phys. 384, No. 3, 1783--1828 (2021; Zbl 1465.35015) Full Text: DOI arXiv OpenURL
Exner, Pavel Schrödinger operators with a switching effect. (English) Zbl 07357279 Manchanda, Pammy (ed.) et al., Mathematical modelling, optimization, analytic and numerical solutions. Selected papers based on the presentations at the international conference in conjunction with 14th biennial conference of ISIAM, Guru Nanak Dev University, Amritsar, India, February 2–4, 2018. Singapore: Springer. Ind. Appl. Math., 13-31 (2020). MSC: 65-XX PDF BibTeX XML Cite \textit{P. Exner}, in: Mathematical modelling, optimization, analytic and numerical solutions. Selected papers based on the presentations at the international conference in conjunction with 14th biennial conference of ISIAM, Guru Nanak Dev University, Amritsar, India, February 2--4, 2018. Singapore: Springer. 13--31 (2020; Zbl 07357279) Full Text: DOI arXiv OpenURL
Kachmar, Ayman; Nasrallah, Marwa Sum of the negative eigenvalues for the semi-classical Robin Laplacian. (English) Zbl 1450.35197 Rev. Mat. Complut. 33, No. 3, 767-795 (2020). MSC: 35P15 35P20 35J20 35J25 47A75 PDF BibTeX XML Cite \textit{A. Kachmar} and \textit{M. Nasrallah}, Rev. Mat. Complut. 33, No. 3, 767--795 (2020; Zbl 1450.35197) Full Text: DOI OpenURL
Ilyin, Alexei; Laptev, Ari; Zelik, Sergey Lieb-Thirring constant on the sphere and on the torus. (English) Zbl 1450.35196 J. Funct. Anal. 279, No. 12, Article ID 108784, 18 p. (2020). MSC: 35P15 26D10 PDF BibTeX XML Cite \textit{A. Ilyin} et al., J. Funct. Anal. 279, No. 12, Article ID 108784, 18 p. (2020; Zbl 1450.35196) Full Text: DOI arXiv OpenURL
Barseghyan, Diana; Truc, Françoise A Lieb-Thirring type inequality for magnetic Schrödinger operators with a radial symmetry. (English) Zbl 1448.35124 Kurasov, Pavel (ed.) et al., Analysis as a tool in mathematical physics. In memory of Boris Pavlov. Collected papers presented at the conferences “Spectral Theory and Applications”, Stockholm, Sweden, March 13–15, 2016 and “Operator Theory, Analysis and Mathematical Physics – OTAMP2016”, Euler International Mathematical Institute, St. Petersburg, Russia, August 2–7, 2016. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 276, 154-161 (2020). MSC: 35J10 35P15 PDF BibTeX XML Cite \textit{D. Barseghyan} and \textit{F. Truc}, Oper. Theory: Adv. Appl. 276, 154--161 (2020; Zbl 1448.35124) Full Text: DOI OpenURL
Barseghyan, Diana; Schneider, Baruch Eigenvalue bound for Schrödinger operators with unbounded magnetic field. (English) Zbl 1441.81082 Rep. Math. Phys. 85, No. 2, 239-251 (2020). MSC: 81Q05 81Q10 PDF BibTeX XML Cite \textit{D. Barseghyan} and \textit{B. Schneider}, Rep. Math. Phys. 85, No. 2, 239--251 (2020; Zbl 1441.81082) Full Text: DOI arXiv OpenURL
Hassannezhad, Asma; Laptev, Ari Eigenvalue bounds of mixed Steklov problems. (English) Zbl 1442.35280 Commun. Contemp. Math. 22, No. 2, Article ID 1950008, 23 p. (2020). MSC: 35P15 35P20 35S05 PDF BibTeX XML Cite \textit{A. Hassannezhad} and \textit{A. Laptev}, Commun. Contemp. Math. 22, No. 2, Article ID 1950008, 23 p. (2020; Zbl 1442.35280) Full Text: DOI arXiv OpenURL
Ilyin, A.; Laptev, A. Lieb-Thirring inequalities on the sphere. (English) Zbl 1450.35195 St. Petersbg. Math. J. 31, No. 3, 479-493 (2020) and Algebra Anal. 31, No. 3, 116-135 (2019). Reviewer: Jürgen Socolowsky (Brandenburg an der Havel) MSC: 35P15 26D10 35Q30 35R35 PDF BibTeX XML Cite \textit{A. Ilyin} and \textit{A. Laptev}, St. Petersbg. Math. J. 31, No. 3, 479--493 (2020; Zbl 1450.35195) Full Text: DOI arXiv OpenURL
Someyama, Norihiro Number of eigenvalues of non-self-adjoint Schrödinger operators with dilation analytic complex potentials. (English) Zbl 1441.81099 Rep. Math. Phys. 83, No. 2, 163-174 (2019). MSC: 81Q12 81Q05 PDF BibTeX XML Cite \textit{N. Someyama}, Rep. Math. Phys. 83, No. 2, 163--174 (2019; Zbl 1441.81099) Full Text: DOI arXiv OpenURL
Zelik, S. V.; Ilyin, A. A.; Laptev, A. A. On the Lieb-Thirring constant on the torus. (English. Russian original) Zbl 1436.35268 Math. Notes 106, No. 6, 1019-1023 (2019); translation from Mat. Zametki 106, No. 6, 946-950 (2019). Reviewer: Christian Seifert (Hamburg) MSC: 35P20 35P15 35A23 35J10 PDF BibTeX XML Cite \textit{S. V. Zelik} et al., Math. Notes 106, No. 6, 1019--1023 (2019; Zbl 1436.35268); translation from Mat. Zametki 106, No. 6, 946--950 (2019) Full Text: DOI OpenURL
Barseghyan, Diana; Khrabustovskyi, Andrii Spectral estimates for Dirichlet Laplacian on tubes with exploding twisting velocity. (English) Zbl 1425.35127 Oper. Matrices 13, No. 2, 311-322 (2019). MSC: 35P20 35P15 81Q10 81Q37 PDF BibTeX XML Cite \textit{D. Barseghyan} and \textit{A. Khrabustovskyi}, Oper. Matrices 13, No. 2, 311--322 (2019; Zbl 1425.35127) Full Text: DOI arXiv OpenURL
Gesztesy, Fritz; Naboko, Sergey N.; Weikard, Rudi; Zinchenko, Maxim Donoghue-type \(m\)-functions for Schrödinger operators with operator-valued potentials. (English) Zbl 07074793 J. Anal. Math. 137, No. 1, 373-427 (2019). MSC: 47Dxx 46Axx 46Cxx PDF BibTeX XML Cite \textit{F. Gesztesy} et al., J. Anal. Math. 137, No. 1, 373--427 (2019; Zbl 07074793) Full Text: DOI arXiv OpenURL
Bley, Gonzalo A.; Fournais, Søren Hardy-Lieb-Thirring inequalities for fractional Pauli operators. (English) Zbl 1406.35208 Commun. Math. Phys. 365, No. 2, 651-683 (2019). Reviewer: Dumitru Motreanu (Juiz de Fora) MSC: 35P15 47E99 PDF BibTeX XML Cite \textit{G. A. Bley} and \textit{S. Fournais}, Commun. Math. Phys. 365, No. 2, 651--683 (2019; Zbl 1406.35208) Full Text: DOI arXiv OpenURL
Usman, Muhammad; Zaidi, Ali Ashher Trace formulas for Schrödinger operators on star graphs with general matching conditions. (English) Zbl 1397.81075 J. Phys. A, Math. Theor. 51, No. 36, Article ID 365301, 18 p. (2018). MSC: 81Q35 05C12 81Q10 34L40 PDF BibTeX XML Cite \textit{M. Usman} and \textit{A. A. Zaidi}, J. Phys. A, Math. Theor. 51, No. 36, Article ID 365301, 18 p. (2018; Zbl 1397.81075) Full Text: DOI OpenURL
Isozaki, H.; Korotyaev, E. L. New trace formulas in terms of resonances for three-dimensional Schrödinger operators. (English) Zbl 1391.81082 Russ. J. Math. Phys. 25, No. 1, 27-43 (2018). MSC: 81Q10 35J10 35B34 PDF BibTeX XML Cite \textit{H. Isozaki} and \textit{E. L. Korotyaev}, Russ. J. Math. Phys. 25, No. 1, 27--43 (2018; Zbl 1391.81082) Full Text: DOI OpenURL
Bouchitté, Guy; Buttazzo, Giuseppe Optimal design problems for Schrödinger operators with noncompact resolvents. (English) Zbl 1358.49014 ESAIM, Control Optim. Calc. Var. 23, No. 2, 627-635 (2017). MSC: 49J45 35J10 58C40 49R05 35P15 PDF BibTeX XML Cite \textit{G. Bouchitté} and \textit{G. Buttazzo}, ESAIM, Control Optim. Calc. Var. 23, No. 2, 627--635 (2017; Zbl 1358.49014) Full Text: DOI arXiv OpenURL
Larson, Simon On the remainder term of the Berezin inequality on a convex domain. (English) Zbl 1377.35206 Proc. Am. Math. Soc. 145, No. 5, 2167-2181 (2017). MSC: 35P15 47A75 35J05 35P20 PDF BibTeX XML Cite \textit{S. Larson}, Proc. Am. Math. Soc. 145, No. 5, 2167--2181 (2017; Zbl 1377.35206) Full Text: DOI arXiv OpenURL
Ilyin, Alexei A.; Laptev, Ari A. Lieb-Thirring inequalities on the torus. (English. Russian original) Zbl 1365.35096 Sb. Math. 207, No. 10, 1410-1434 (2016); translation from Mat. Sb. 207, No. 10, 56-79 (2016). Reviewer: Denis A. White (Toledo) MSC: 35P15 35J10 37L30 76D05 PDF BibTeX XML Cite \textit{A. A. Ilyin} and \textit{A. A. Laptev}, Sb. Math. 207, No. 10, 1410--1434 (2016; Zbl 1365.35096); translation from Mat. Sb. 207, No. 10, 56--79 (2016) Full Text: DOI arXiv OpenURL
Mickelin, Oscar Lieb-Thirring inequalities for generalized magnetic fields. (English) Zbl 1336.35264 Bull. Math. Sci. 6, No. 1, 1-14 (2016). Reviewer: Jonathan Rohleder (Hamburg) MSC: 35P15 81Q10 PDF BibTeX XML Cite \textit{O. Mickelin}, Bull. Math. Sci. 6, No. 1, 1--14 (2016; Zbl 1336.35264) Full Text: DOI OpenURL
Ioku, Norisuke; Ishiwata, Michinori On a variational problem associated with a Hardy type inequality involving a mean oscillation. (English) Zbl 1345.26028 Calc. Var. Partial Differ. Equ. 54, No. 4, 3949-3966 (2015). Reviewer: Petr Gurka (Praha) MSC: 26D10 35J20 46E35 PDF BibTeX XML Cite \textit{N. Ioku} and \textit{M. Ishiwata}, Calc. Var. Partial Differ. Equ. 54, No. 4, 3949--3966 (2015; Zbl 1345.26028) Full Text: DOI OpenURL
Zelik, S. V.; Ilyin, A. A.; Laptev, A. A. Sharp interpolation inequalities for discrete operators. (English. Russian original) Zbl 1348.46046 Dokl. Math. 91, No. 2, 215-219 (2015); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 461, No. 6, 633-637 (2015). Reviewer: Vladimir S. Pilidi (Rostov-na-Donu) MSC: 46E39 26D10 39A12 35J10 PDF BibTeX XML Cite \textit{S. V. Zelik} et al., Dokl. Math. 91, No. 2, 215--219 (2015; Zbl 1348.46046); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 461, No. 6, 633--637 (2015) Full Text: DOI OpenURL
Kachmar, Ayman; Nasrallah, Marwa Semi-classical trace asymptotics for magnetic Schrödinger operators with Robin condition. (English) Zbl 1321.81022 J. Math. Phys. 56, No. 7, 071501, 36 p. (2015). Reviewer: Wencai Liu (Shanghai) MSC: 81Q20 81Q05 81Q10 35J10 35J25 35P05 PDF BibTeX XML Cite \textit{A. Kachmar} and \textit{M. Nasrallah}, J. Math. Phys. 56, No. 7, 071501, 36 p. (2015; Zbl 1321.81022) Full Text: DOI arXiv OpenURL
Laugesen, R. S.; Siudeja, B. A. Magnetic spectral bounds on starlike plane domains. (English) Zbl 1319.35130 ESAIM, Control Optim. Calc. Var. 21, No. 3, 670-689 (2015). Reviewer: Michael Perelmuter (Kyïv) MSC: 35P15 35J20 PDF BibTeX XML Cite \textit{R. S. Laugesen} and \textit{B. A. Siudeja}, ESAIM, Control Optim. Calc. Var. 21, No. 3, 670--689 (2015; Zbl 1319.35130) Full Text: DOI arXiv OpenURL
Ilyin, Alexei; Laptev, Ari; Zelik, Sergey Sharp interpolation inequalities for discrete operators and applications. (English) Zbl 1317.41003 Bull. Math. Sci. 5, No. 1, 19-57 (2015). MSC: 41A05 26D07 PDF BibTeX XML Cite \textit{A. Ilyin} et al., Bull. Math. Sci. 5, No. 1, 19--57 (2015; Zbl 1317.41003) Full Text: DOI arXiv OpenURL
Schimmer, Lukas Spectral inequalities for Jacobi operators and related sharp Lieb-Thirring inequalities on the continuum. (English) Zbl 1317.35155 Commun. Math. Phys. 334, No. 1, 473-505 (2015). Reviewer: Leonid Golinskii (Kharkov) MSC: 35P15 47B36 PDF BibTeX XML Cite \textit{L. Schimmer}, Commun. Math. Phys. 334, No. 1, 473--505 (2015; Zbl 1317.35155) Full Text: DOI arXiv OpenURL
Korotyaev, Evgeny L. Global estimates of resonances for 1D Dirac operators. (English) Zbl 1295.34096 Lett. Math. Phys. 104, No. 1, 43-53 (2014). Reviewer: Manfred Möller (Johannesburg) MSC: 34L40 34L25 PDF BibTeX XML Cite \textit{E. L. Korotyaev}, Lett. Math. Phys. 104, No. 1, 43--53 (2014; Zbl 1295.34096) Full Text: DOI arXiv OpenURL
Exner, Pavel; Laptev, Ari; Usman, Muhammad On some sharp spectral inequalities for Schrödinger operators on semiaxis. (English) Zbl 1297.35155 Commun. Math. Phys. 326, No. 2, 531-541 (2014). Reviewer: K. Kajitani (Ibaraki) MSC: 35P15 35J10 PDF BibTeX XML Cite \textit{P. Exner} et al., Commun. Math. Phys. 326, No. 2, 531--541 (2014; Zbl 1297.35155) Full Text: DOI arXiv OpenURL
Barseghyan, Diana; Exner, Pavel Spectral estimates for Dirichlet Laplacians and Schrödinger operators on geometrically nontrivial cusps. (English) Zbl 1294.35043 J. Spectr. Theory 3, No. 4, 465-484 (2013). MSC: 35P15 35J05 35J10 81Q10 PDF BibTeX XML Cite \textit{D. Barseghyan} and \textit{P. Exner}, J. Spectr. Theory 3, No. 4, 465--484 (2013; Zbl 1294.35043) Full Text: DOI arXiv OpenURL
Hatzinikitas, Agapitos N. Spectral properties of the Dirichlet operator \(\sum _{i=1}^{d}(-\partial _i^2)^{s}\) on domains in d-dimensional Euclidean space. (English) Zbl 1286.35181 J. Math. Phys. 54, No. 10, 103501, 16 p. (2013). MSC: 35P20 35P15 35S05 35J05 35J25 35K08 81Q10 PDF BibTeX XML Cite \textit{A. N. Hatzinikitas}, J. Math. Phys. 54, No. 10, 103501, 16 p. (2013; Zbl 1286.35181) Full Text: DOI arXiv OpenURL
Gesztesy, Fritz; Weikard, Rudi; Zinchenko, Maxim On spectral theory for Schrödinger operators with operator-valued potentials. (English) Zbl 1291.34139 J. Differ. Equations 255, No. 7, 1784-1827 (2013). Reviewer: Bilender P. Allahverdiev (Isparta) MSC: 34L05 34B20 34L40 34L10 PDF BibTeX XML Cite \textit{F. Gesztesy} et al., J. Differ. Equations 255, No. 7, 1784--1827 (2013; Zbl 1291.34139) Full Text: DOI arXiv OpenURL
Ilyin, A. A. Lower bounds for sums of eigenvalues of elliptic operators and systems. (English. Russian original) Zbl 1273.35199 Sb. Math. 204, No. 4, 563-587 (2013); translation from Mat. Sb. 204, No. 4, 103-126 (2013). Reviewer: Ludwig Kohaupt (Berlin) MSC: 35P20 PDF BibTeX XML Cite \textit{A. A. Ilyin}, Sb. Math. 204, No. 4, 563--587 (2013; Zbl 1273.35199); translation from Mat. Sb. 204, No. 4, 103--126 (2013) Full Text: DOI OpenURL
Laleg-Kirati, Taous-Meriem; Crépeau, Emmanuelle; Sorine, Michel Semi-classical signal analysis. (English) Zbl 1326.94027 Math. Control Signals Syst. 25, No. 1, 37-61 (2013). MSC: 94A12 34L40 92C35 PDF BibTeX XML Cite \textit{T.-M. Laleg-Kirati} et al., Math. Control Signals Syst. 25, No. 1, 37--61 (2013; Zbl 1326.94027) Full Text: DOI arXiv OpenURL
Schimmer, Lukas The Berezin inequality on domains of infinite measure. (English) Zbl 1267.35264 Bull. Math. Sci. 3, No. 1, 173-182 (2013). MSC: 35R45 35P15 35P20 PDF BibTeX XML Cite \textit{L. Schimmer}, Bull. Math. Sci. 3, No. 1, 173--182 (2013; Zbl 1267.35264) Full Text: DOI OpenURL
Frank, Rupert L.; Lewin, Mathieu; Lieb, Elliott H.; Seiringer, Robert A positive density analogue of the Lieb-Thirring inequality. (English) Zbl 1260.35088 Duke Math. J. 162, No. 3, 435-495 (2013). MSC: 35P15 35J10 81Q20 35Q40 PDF BibTeX XML Cite \textit{R. L. Frank} et al., Duke Math. J. 162, No. 3, 435--495 (2013; Zbl 1260.35088) Full Text: DOI arXiv Euclid OpenURL
Molchanov, Stanislav; Safronov, Oleg Negative spectra of elliptic operators. (English) Zbl 1268.47005 Bull. Math. Sci. 2, No. 2, 321-329 (2012). Reviewer: Thomas Kalmes (Trier) MSC: 47A10 47N20 PDF BibTeX XML Cite \textit{S. Molchanov} and \textit{O. Safronov}, Bull. Math. Sci. 2, No. 2, 321--329 (2012; Zbl 1268.47005) Full Text: DOI OpenURL
Laugesen, Richard S.; Liang, Jian; Roy, Arindam Sums of magnetic eigenvalues are maximal on rotationally symmetric domains. (English) Zbl 1242.81082 Ann. Henri Poincaré 13, No. 4, 731-750 (2012). MSC: 81Q10 35J10 35J05 PDF BibTeX XML Cite \textit{R. S. Laugesen} et al., Ann. Henri Poincaré 13, No. 4, 731--750 (2012; Zbl 1242.81082) Full Text: DOI arXiv OpenURL
Demirel, Semra; Usman, Muhammad Trace formulas for Schrödinger operators on the half-line. (English) Zbl 1256.35041 Bull. Math. Sci. 1, No. 2, 397-427 (2011). MSC: 35P25 35Q41 81Q05 PDF BibTeX XML Cite \textit{S. Demirel} and \textit{M. Usman}, Bull. Math. Sci. 1, No. 2, 397--427 (2011; Zbl 1256.35041) Full Text: DOI arXiv OpenURL
Frank, Rupert L.; Olofsson, Rikard Eigenvalue bounds for Schrödinger operators with a homogeneous magnetic field. (English) Zbl 1231.35129 Lett. Math. Phys. 97, No. 3, 227-241 (2011). MSC: 35P15 35J10 81Q10 PDF BibTeX XML Cite \textit{R. L. Frank} and \textit{R. Olofsson}, Lett. Math. Phys. 97, No. 3, 227--241 (2011; Zbl 1231.35129) Full Text: DOI arXiv Link OpenURL
Harrell, Evans M. II; Stubbe, Joachim Trace identities for commutators, with applications to the distribution of eigenvalues. (English) Zbl 1230.81029 Trans. Am. Math. Soc. 363, No. 12, 6385-6405 (2011). MSC: 81Q10 35J25 35P15 35P20 58C40 PDF BibTeX XML Cite \textit{E. M. Harrell II} and \textit{J. Stubbe}, Trans. Am. Math. Soc. 363, No. 12, 6385--6405 (2011; Zbl 1230.81029) Full Text: DOI arXiv OpenURL
Harrell, Evans M. II; Hermi, Lotfi On Riesz means of eigenvalues. (English) Zbl 1237.35123 Commun. Partial Differ. Equations 36, No. 7-9, 1521-1543 (2011). Reviewer: Rainer Picard (Dresden) MSC: 35P20 35P15 35J10 PDF BibTeX XML Cite \textit{E. M. Harrell II} and \textit{L. Hermi}, Commun. Partial Differ. Equations 36, No. 7--9, 1521--1543 (2011; Zbl 1237.35123) Full Text: DOI arXiv OpenURL
Geisinger, Leander; Weidl, Timo Sharp spectral estimates in domains of infinite volume. (English) Zbl 1219.35156 Rev. Math. Phys. 23, No. 6, 615-641 (2011). MSC: 35P15 47A75 PDF BibTeX XML Cite \textit{L. Geisinger} and \textit{T. Weidl}, Rev. Math. Phys. 23, No. 6, 615--641 (2011; Zbl 1219.35156) Full Text: DOI arXiv OpenURL
Sahovic, A. New constants in discrete Lieb-Thirring inequalities for Jacobi matrices. (English. Russian original) Zbl 1304.39021 J. Math. Sci., New York 166, No. 3, 319-327 (2010); translation from Probl. Mat. Anal. 45, 85-92 (2010). MSC: 39A70 39A12 34L40 34L20 PDF BibTeX XML Cite \textit{A. Sahovic}, J. Math. Sci., New York 166, No. 3, 319--327 (2010; Zbl 1304.39021); translation from Probl. Mat. Anal. 45, 85--92 (2010) Full Text: DOI arXiv OpenURL
Safronov, O. Lower bounds on the eigenvalue sums of the Schrödinger operator and the spectral conservation law. (English. Russian original) Zbl 1302.35277 J. Math. Sci., New York 166, No. 3, 300-318 (2010); translation from Probl. Mat. Anal. 45, 69-84 (2010). MSC: 35P15 35J10 PDF BibTeX XML Cite \textit{O. Safronov}, J. Math. Sci., New York 166, No. 3, 300--318 (2010; Zbl 1302.35277); translation from Probl. Mat. Anal. 45, 69--84 (2010) Full Text: DOI arXiv OpenURL
Stubbe, Joachim Universal monotonicity of eigenvalue moments and sharp Lieb-Thirring inequalities. (English) Zbl 1201.81056 J. Eur. Math. Soc. (JEMS) 12, No. 6, 1347-1353 (2010). MSC: 81Q10 35P15 35P20 35J10 PDF BibTeX XML Cite \textit{J. Stubbe}, J. Eur. Math. Soc. (JEMS) 12, No. 6, 1347--1353 (2010; Zbl 1201.81056) Full Text: DOI arXiv OpenURL
Demirel, Semra; Harrell, Evans M. II On semiclassical and universal inequalities for eigenvalues of quantum graphs. (English) Zbl 1190.81051 Rev. Math. Phys. 22, No. 3, 305-329 (2010). MSC: 81Q35 34L15 34L40 81Q20 47E05 47A75 81Q10 PDF BibTeX XML Cite \textit{S. Demirel} and \textit{E. M. Harrell II}, Rev. Math. Phys. 22, No. 3, 305--329 (2010; Zbl 1190.81051) Full Text: DOI arXiv OpenURL
Ouhabaz, El Maati; Poupaud, César Remarks on the Cwikel-Lieb-Rozenblum and Lieb-Thirring estimates for Schrödinger operators on Riemannian manifolds. (English) Zbl 1192.58018 Acta Appl. Math. 110, No. 3, 1449-1459 (2010). Reviewer: Peter B. Gilkey (Eugene) MSC: 58J50 46B22 46G10 44A10 42A38 PDF BibTeX XML Cite \textit{E. M. Ouhabaz} and \textit{C. Poupaud}, Acta Appl. Math. 110, No. 3, 1449--1459 (2010; Zbl 1192.58018) Full Text: DOI OpenURL
Enblom, Andreas On the absolutely continuous spectrum of magnetic Schrödinger operators. (English. Russian original) Zbl 1220.47060 J. Math. Sci., New York 156, No. 4, 699-723 (2009); translation from Probl. Mat. Anal. 38, 121-143 (2008). Reviewer: Vassilis G. Papanicolaou (Athena) MSC: 47F05 35P25 35P05 47A10 47A40 81V10 PDF BibTeX XML Cite \textit{A. Enblom}, J. Math. Sci., New York 156, No. 4, 699--723 (2009; Zbl 1220.47060); translation from Probl. Mat. Anal. 38, 121--143 (2008) Full Text: DOI OpenURL
Frank, Rupert L.; Loss, Michael; Weidl, Timo Pólya’s conjecture in the presence of a constant magnetic field. (English) Zbl 1179.35205 J. Eur. Math. Soc. (JEMS) 11, No. 6, 1365-1383 (2009). MSC: 35P15 35J10 PDF BibTeX XML Cite \textit{R. L. Frank} et al., J. Eur. Math. Soc. (JEMS) 11, No. 6, 1365--1383 (2009; Zbl 1179.35205) Full Text: DOI arXiv Link OpenURL
Boumenir, Amin; Tuan, Vu Kim A trace formula and Schmincke inequality on the half-line. (English) Zbl 1173.34053 Proc. Am. Math. Soc. 137, No. 3, 1039-1049 (2009). Reviewer: Kazushi Yoshitomi (Tokyo) MSC: 34L15 34A55 PDF BibTeX XML Cite \textit{A. Boumenir} and \textit{V. K. Tuan}, Proc. Am. Math. Soc. 137, No. 3, 1039--1049 (2009; Zbl 1173.34053) Full Text: DOI OpenURL
Bruneau, Vincent; Ouhabaz, El Maati Lieb-Thirring estimates for non-self-adjoint Schrödinger operators. (English) Zbl 1152.81353 J. Math. Phys. 49, No. 9, 093504, 10 p. (2008). MSC: 35J10 35P20 81Q10 47B25 47F05 47N50 PDF BibTeX XML Cite \textit{V. Bruneau} and \textit{E. M. Ouhabaz}, J. Math. Phys. 49, No. 9, 093504, 10 p. (2008; Zbl 1152.81353) Full Text: DOI arXiv OpenURL
Dolbeault, Jean; Laptev, Ari; Loss, Michael Lieb-Thirring inequalities with improved constants. (English) Zbl 1152.35451 J. Eur. Math. Soc. (JEMS) 10, No. 4, 1121-1126 (2008). MSC: 35P15 81Q10 35J10 PDF BibTeX XML Cite \textit{J. Dolbeault} et al., J. Eur. Math. Soc. (JEMS) 10, No. 4, 1121--1126 (2008; Zbl 1152.35451) Full Text: DOI arXiv Link OpenURL
Safronov, O.; Vainberg, B. Estimates for negative eigenvalues of a random Schrödinger operator. (English) Zbl 1161.47032 Proc. Am. Math. Soc. 136, No. 11, 3921-3929 (2008). Reviewer: Anton Bovier (Bonn) MSC: 47F05 47A10 47B80 PDF BibTeX XML Cite \textit{O. Safronov} and \textit{B. Vainberg}, Proc. Am. Math. Soc. 136, No. 11, 3921--3929 (2008; Zbl 1161.47032) Full Text: DOI OpenURL
Harrell, Evans M. II; Hermi, Lotfi Differential inequalities for Riesz means and Weyl-type bounds for eigenvalues. (English) Zbl 1147.35062 J. Funct. Anal. 254, No. 12, 3173-3191 (2008). MSC: 35P15 35J25 58J50 PDF BibTeX XML Cite \textit{E. M. Harrell II} and \textit{L. Hermi}, J. Funct. Anal. 254, No. 12, 3173--3191 (2008; Zbl 1147.35062) Full Text: DOI arXiv OpenURL
Frank, Rupert L.; Lieb, Elliott H.; Seiringer, Robert Number of bound states of Schrödinger operators with matrix-valued potentials. (English) Zbl 1135.35052 Lett. Math. Phys. 82, No. 2-3, 107-116 (2007). MSC: 35P15 35J10 47F05 81Q10 PDF BibTeX XML Cite \textit{R. L. Frank} et al., Lett. Math. Phys. 82, No. 2--3, 107--116 (2007; Zbl 1135.35052) Full Text: DOI arXiv OpenURL
Lu, Songsong Attractors for nonautonomous 2D Navier-Stokes equations with less regular normal forces. (English) Zbl 1112.35029 J. Differ. Equations 230, No. 1, 196-212 (2006). Reviewer: A. Cichocka (Katowice) MSC: 35B41 35Q30 76D05 PDF BibTeX XML Cite \textit{S. Lu}, J. Differ. Equations 230, No. 1, 196--212 (2006; Zbl 1112.35029) Full Text: DOI OpenURL
Dolbeault, J.; Felmer, P.; Loss, M.; Paturel, E. Lieb–Thirring type inequalities and Gagliardo–Nirenberg inequalities for systems. (English) Zbl 1104.35021 J. Funct. Anal. 238, No. 1, 193-220 (2006). Reviewer: Georgi E. Karadzhov (Sofia) MSC: 35P20 26D10 47F05 35J10 PDF BibTeX XML Cite \textit{J. Dolbeault} et al., J. Funct. Anal. 238, No. 1, 193--220 (2006; Zbl 1104.35021) Full Text: DOI arXiv OpenURL
Denisov, Sergey A. On the preservation of absolutely continuous spectrum for Schrödinger operators. (English) Zbl 1099.35067 J. Funct. Anal. 231, No. 1, 143-156 (2006). Reviewer: Chie-Ping Chu (Taipei) MSC: 35P05 35J10 81Q10 47A55 47B25 47B36 47B39 PDF BibTeX XML Cite \textit{S. A. Denisov}, J. Funct. Anal. 231, No. 1, 143--156 (2006; Zbl 1099.35067) Full Text: DOI arXiv OpenURL
Kwak, Minkyu; Kwean, Hyukjin; Roh, Jaiok The dimension of attractor of the 2D \(g\)-Navier–Stokes equations. (English) Zbl 1099.35084 J. Math. Anal. Appl. 315, No. 2, 436-461 (2006). Reviewer: A. Cichocka (Katowice) MSC: 35Q30 37L30 76D05 PDF BibTeX XML Cite \textit{M. Kwak} et al., J. Math. Anal. Appl. 315, No. 2, 436--461 (2006; Zbl 1099.35084) Full Text: DOI OpenURL
Laptev, A.; Naboko, S.; Safronov, O. Absolutely continuous spectrum of Schrödinger operators with slowly decaying and oscillating potentials. (English) Zbl 1077.81040 Commun. Math. Phys. 253, No. 3, 611-631 (2005). Reviewer: Horst Behncke (Osnabrück) MSC: 81Q10 35J10 35P05 47F05 47N50 PDF BibTeX XML Cite \textit{A. Laptev} et al., Commun. Math. Phys. 253, No. 3, 611--631 (2005; Zbl 1077.81040) Full Text: DOI OpenURL
Laptev, A.; Naboko, S.; Safronov, O. A Szegő condition for a multidimensional Schrödinger operator. (English) Zbl 1135.35355 J. Funct. Anal. 219, No. 2, 285-305 (2005). Reviewer: Messoud A. Efendiev (München) MSC: 35P15 35L15 47A75 35J10 PDF BibTeX XML Cite \textit{A. Laptev} et al., J. Funct. Anal. 219, No. 2, 285--305 (2005; Zbl 1135.35355) Full Text: DOI OpenURL
Exner, Pavel; Linde, Helmut; Weidl, Timo Lieb-Thirring inequalities for geometrically induced bound states. (English) Zbl 1059.81039 Lett. Math. Phys. 70, No. 1, 83-95 (2004). MSC: 81Q05 PDF BibTeX XML Cite \textit{P. Exner} et al., Lett. Math. Phys. 70, No. 1, 83--95 (2004; Zbl 1059.81039) Full Text: DOI arXiv OpenURL
Boulton, L.; Marcantognini, S. A. M.; Morán, M. D. Finite lifetime eigenfunctions of coupled systems of harmonic oscillators. (English) Zbl 1065.34083 Lett. Math. Phys. 70, No. 2, 121-131 (2004). Reviewer: Mihai Pascu (Bucureşti) MSC: 34L10 34L40 81Q10 PDF BibTeX XML Cite \textit{L. Boulton} et al., Lett. Math. Phys. 70, No. 2, 121--131 (2004; Zbl 1065.34083) Full Text: DOI arXiv OpenURL
Benguria, Rafael D.; Catto, Isabelle; Dolbeault, Jean; Monneau, Régis Oscillating minimizers of a fourth-order problem invariant under scaling. (English) Zbl 1065.49001 J. Differ. Equations 205, No. 1, 253-269 (2004). MSC: 49J05 34A40 PDF BibTeX XML Cite \textit{R. D. Benguria} et al., J. Differ. Equations 205, No. 1, 253--269 (2004; Zbl 1065.49001) Full Text: DOI arXiv OpenURL
Melgaard, Michael On bound states for systems of weakly coupled Schrödinger equations in one space dimension. (English) Zbl 1060.81016 J. Math. Phys. 43, No. 11, 5365-5385 (2002). MSC: 81Q05 34G10 34L99 47E05 81U05 PDF BibTeX XML Cite \textit{M. Melgaard}, J. Math. Phys. 43, No. 11, 5365--5385 (2002; Zbl 1060.81016) Full Text: DOI Link OpenURL
Hundertmark, Dirk On the number of bound states for Schrödinger operators with operator-valued potentials. (English) Zbl 1030.35129 Ark. Mat. 40, No. 1, 73-87 (2002). Reviewer: Bodo Dittmar (Halle) MSC: 35P15 47B10 81Q10 47L20 PDF BibTeX XML Cite \textit{D. Hundertmark}, Ark. Mat. 40, No. 1, 73--87 (2002; Zbl 1030.35129) Full Text: DOI OpenURL
Hundertmark, Dirk; Simon, Barry Lieb-Thirring inequalities for Jacobi matrices. (English) Zbl 1019.39013 J. Approximation Theory 118, No. 1, 106-130 (2002). Reviewer: Dobiesław Bobrowski (Poznań) MSC: 39A70 15A45 PDF BibTeX XML Cite \textit{D. Hundertmark} and \textit{B. Simon}, J. Approx. Theory 118, No. 1, 106--130 (2002; Zbl 1019.39013) Full Text: DOI arXiv OpenURL
Simon, Barry Schrödinger operators in the twentieth century. (English) Zbl 0981.81025 J. Math. Phys. 41, No. 6, 3523-3555 (2000). MSC: 81Q10 81-02 81U05 01A60 81-03 35-03 47B25 47E05 47F05 PDF BibTeX XML Cite \textit{B. Simon}, J. Math. Phys. 41, No. 6, 3523--3555 (2000; Zbl 0981.81025) Full Text: DOI Link OpenURL
Erdős, László; Loss, Michael; Vougalter, Vitali Diamagnetic behavior of sums of Dirichlet eigenvalues. (English) Zbl 0957.35104 Ann. Inst. Fourier 50, No. 3, 891-907 (2000). MSC: 35P15 81Q10 PDF BibTeX XML Cite \textit{L. Erdős} et al., Ann. Inst. Fourier 50, No. 3, 891--907 (2000; Zbl 0957.35104) Full Text: DOI Numdam EuDML OpenURL