Beliaev, Dmitry; McAuley, Michael; Muirhead, Stephen On the number of excursion sets of planar Gaussian fields. (English) Zbl 07271327 Probab. Theory Relat. Fields 178, No. 3-4, 655-698 (2020). MSC: 60G60 60G15 58K05 PDF BibTeX XML Cite \textit{D. Beliaev} et al., Probab. Theory Relat. Fields 178, No. 3--4, 655--698 (2020; Zbl 07271327) Full Text: DOI
Sire, Yannick; Terracini, Susanna; Tortone, Giorgio On the nodal set of solutions to degenerate or singular elliptic equations with an application to \(s\)-harmonic functions. (English. French summary) Zbl 07262161 J. Math. Pures Appl. (9) 143, 376-441 (2020). MSC: 35J70 35J75 35R11 35B40 35B44 35B53 PDF BibTeX XML Cite \textit{Y. Sire} et al., J. Math. Pures Appl. (9) 143, 376--441 (2020; Zbl 07262161) Full Text: DOI
Beliaev, Dmitry; McAuley, Michael; Muirhead, Stephen Smoothness and monotonicity of the excursion set density of planar Gaussian fields. (English) Zbl 07252725 Electron. J. Probab. 25, Paper No. 93, 37 p. (2020). MSC: 60G60 60G15 58K05 PDF BibTeX XML Cite \textit{D. Beliaev} et al., Electron. J. Probab. 25, Paper No. 93, 37 p. (2020; Zbl 07252725) Full Text: DOI Euclid
Steinerberger, Stefan Oscillatory functions vanish on a large set. (English) Zbl 1446.58005 Asian J. Math. 24, No. 1, 177-190 (2020). MSC: 58C40 28A75 35B05 35J05 35K08 46E35 PDF BibTeX XML Cite \textit{S. Steinerberger}, Asian J. Math. 24, No. 1, 177--190 (2020; Zbl 1446.58005) Full Text: DOI
Bruno, Oscar P.; Galkowski, Jeffrey Domains without dense Steklov nodal sets. (English) Zbl 1445.35271 J. Fourier Anal. Appl. 26, No. 3, Paper No. 45, 29 p. (2020). MSC: 35P20 35J25 PDF BibTeX XML Cite \textit{O. P. Bruno} and \textit{J. Galkowski}, J. Fourier Anal. Appl. 26, No. 3, Paper No. 45, 29 p. (2020; Zbl 1445.35271) Full Text: DOI
Sagiv, Amir; Steinerberger, Stefan Transport and interface: an uncertainty principle for the Wasserstein distance. (English) Zbl 1442.28005 SIAM J. Math. Anal. 52, No. 3, 3039-3051 (2020). MSC: 28A75 34B24 PDF BibTeX XML Cite \textit{A. Sagiv} and \textit{S. Steinerberger}, SIAM J. Math. Anal. 52, No. 3, 3039--3051 (2020; Zbl 1442.28005) Full Text: DOI
Estrade, Anne; Fournier, Julie Anisotropic Gaussian wave models. (English) Zbl 1443.60049 ALEA, Lat. Am. J. Probab. Math. Stat. 17, No. 1, 329-353 (2020). MSC: 60G60 60G15 60K40 62H11 PDF BibTeX XML Cite \textit{A. Estrade} and \textit{J. Fournier}, ALEA, Lat. Am. J. Probab. Math. Stat. 17, No. 1, 329--353 (2020; Zbl 1443.60049) Full Text: Link
Thibault, Pautrel New asymptotics for the mean number of zeros of random trigonometric polynomials with strongly dependent Gaussian coefficients. (English) Zbl 1445.60052 Electron. Commun. Probab. 25, Paper No. 36, 13 p. (2020). MSC: 60H99 60G99 26C10 PDF BibTeX XML Cite \textit{P. Thibault}, Electron. Commun. Probab. 25, Paper No. 36, 13 p. (2020; Zbl 1445.60052) Full Text: DOI Euclid
Tortone, Giorgio The nodal set of solutions to anomalous equations. (English) Zbl 1436.35187 “Bruno Pini” Mathematical Analysis Seminar 2019. Papers from the seminar, University of Bologna, Bologna, Italy, 2019. Bologna: Università di Bologna, Alma Mater Studiorum. 98-109 (2019). MSC: 35J70 35J75 35R11 PDF BibTeX XML Cite \textit{G. Tortone}, in: ``Bruno Pini'' Mathematical Analysis Seminar 2019. Papers from the seminar, University of Bologna, Bologna, Italy, 2019. Bologna: Università di Bologna, Alma Mater Studiorum. 98--109 (2019; Zbl 1436.35187) Full Text: DOI
Maffucci, Riccardo W. Nodal intersections for arithmetic random waves against a surface. (English) Zbl 1441.58009 Ann. Henri Poincaré 20, No. 11, 3651-3691 (2019). Reviewer: Utkir A. Rozikov (Tashkent) MSC: 58C40 60G60 PDF BibTeX XML Cite \textit{R. W. Maffucci}, Ann. Henri Poincaré 20, No. 11, 3651--3691 (2019; Zbl 1441.58009) Full Text: DOI
Chang, Robert; Zelditch, Steve Log-scale equidistribution of nodal sets in Grauert tubes. (English. French summary) Zbl 1422.58006 J. Math. Pures Appl. (9) 129, 213-241 (2019). Reviewer: Peter B. Gilkey (Eugene) MSC: 58J51 32Q15 35A17 35J05 35P05 35R01 58J40 58J50 PDF BibTeX XML Cite \textit{R. Chang} and \textit{S. Zelditch}, J. Math. Pures Appl. (9) 129, 213--241 (2019; Zbl 1422.58006) Full Text: DOI arXiv
Soave, Nicola; Terracini, Susanna The nodal set of solutions to some elliptic problems: singular nonlinearities. (English. French summary) Zbl 1422.35083 J. Math. Pures Appl. (9) 128, 264-296 (2019). MSC: 35J91 28A78 PDF BibTeX XML Cite \textit{N. Soave} and \textit{S. Terracini}, J. Math. Pures Appl. (9) 128, 264--296 (2019; Zbl 1422.35083) Full Text: DOI arXiv
Funano, Kei; Sakurai, Yohei Concentration of eigenfunctions of the Laplacian on a closed Riemannian manifold. (English) Zbl 1423.53047 Proc. Am. Math. Soc. 147, No. 7, 3155-3164 (2019). Reviewer: Peter B. Gilkey (Eugene) MSC: 53C21 53C23 58J50 PDF BibTeX XML Cite \textit{K. Funano} and \textit{Y. Sakurai}, Proc. Am. Math. Soc. 147, No. 7, 3155--3164 (2019; Zbl 1423.53047) Full Text: DOI arXiv
Georgiev, Bogdan; Mukherjee, Mayukh Some remarks on nodal geometry in the smooth setting. (English) Zbl 1415.58019 Calc. Var. Partial Differ. Equ. 58, No. 3, Paper No. 93, 25 p. (2019). MSC: 58J50 35P15 35P20 53B20 PDF BibTeX XML Cite \textit{B. Georgiev} and \textit{M. Mukherjee}, Calc. Var. Partial Differ. Equ. 58, No. 3, Paper No. 93, 25 p. (2019; Zbl 1415.58019) Full Text: DOI arXiv
Murcia, Edwin Gonzalo; Siciliano, Gaetano Least energy radial sign-changing solution for the Schrödinger-Poisson system in \(\mathbb{R}^3\) under an asymptotically cubic nonlinearity. (English) Zbl 1418.35092 J. Math. Anal. Appl. 474, No. 1, 544-571 (2019). MSC: 35J05 35J10 PDF BibTeX XML Cite \textit{E. G. Murcia} and \textit{G. Siciliano}, J. Math. Anal. Appl. 474, No. 1, 544--571 (2019; Zbl 1418.35092) Full Text: DOI
Han, Xiaolong; Murray, Michael; Tran, Chuong Nodal lengths of eigenfunctions in the disc. (English) Zbl 1409.58022 Proc. Am. Math. Soc. 147, No. 4, 1817-1824 (2019). Reviewer: Emilio A. Lauret (Córdoba) MSC: 58J50 33C10 35J05 PDF BibTeX XML Cite \textit{X. Han} et al., Proc. Am. Math. Soc. 147, No. 4, 1817--1824 (2019; Zbl 1409.58022) Full Text: DOI arXiv
Fernández-Bertolin, Aingeru; Gröchenig, Karlheinz; Jaming, Philippe From Heisenberg uniqueness pairs to properties of the Helmholtz and Laplace equations. (English) Zbl 1400.35046 J. Math. Anal. Appl. 469, No. 1, 202-219 (2019). MSC: 35B60 35A02 35J05 PDF BibTeX XML Cite \textit{A. Fernández-Bertolin} et al., J. Math. Anal. Appl. 469, No. 1, 202--219 (2019; Zbl 1400.35046) Full Text: DOI
Canzani, Yaiza; Toth, John A. Intersection bounds for nodal sets of Laplace eigenfunctions. (English) Zbl 1419.53045 Hitrik, Michael (ed.) et al., Algebraic and analytic microlocal analysis. AAMA, Evanston, Illinois, USA, May 14–26, 2012 and May 20–24, 2013. Contributions of the workshops. Cham: Springer. Springer Proc. Math. Stat. 269, 421-436 (2018). Reviewer: Peter B. Gilkey (Eugene) MSC: 53C21 58J50 PDF BibTeX XML Cite \textit{Y. Canzani} and \textit{J. A. Toth}, Springer Proc. Math. Stat. 269, 421--436 (2018; Zbl 1419.53045) Full Text: DOI
Logunov, Alexander; Malinnikova, Eugenia Nodal sets of Laplace eigenfunctions: estimates of the Hausdorff measure in dimensions two and three. (English) Zbl 1414.31004 Baranov, Anton (ed.) et al., 50 years with Hardy spaces. A tribute to Victor Havin. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 261, 333-344 (2018). Reviewer: Peter B. Gilkey (Eugene) MSC: 31B05 35R01 PDF BibTeX XML Cite \textit{A. Logunov} and \textit{E. Malinnikova}, Oper. Theory: Adv. Appl. 261, 333--344 (2018; Zbl 1414.31004) Full Text: DOI
Kiwan, Rola On the nodal set of a second Dirichlet eigenfunction in a doubly connected domain. (English. French summary) Zbl 1426.35173 Ann. Fac. Sci. Toulouse, Math. (6) 27, No. 4, 863-873 (2018). Reviewer: Davide Buoso (Lausanne) MSC: 35P15 35P05 35J05 49R05 PDF BibTeX XML Cite \textit{R. Kiwan}, Ann. Fac. Sci. Toulouse, Math. (6) 27, No. 4, 863--873 (2018; Zbl 1426.35173) Full Text: DOI
Tian, Long Measure estimates of nodal sets of polyharmonic functions. (English) Zbl 1402.58010 Chin. Ann. Math., Ser. B 39, No. 5, 917-932 (2018). MSC: 58E10 53C50 PDF BibTeX XML Cite \textit{L. Tian}, Chin. Ann. Math., Ser. B 39, No. 5, 917--932 (2018; Zbl 1402.58010) Full Text: DOI
Beck, Thomas; Becker-Kahn, Spencer; Hanin, Boris Nodal sets of smooth functions with finite vanishing order and \(p\)-sweepouts. (English) Zbl 1401.35228 Calc. Var. Partial Differ. Equ. 57, No. 5, Paper No. 140, 13 p. (2018). Reviewer: Dumitru Motreanu (Juiz de Fora) MSC: 35P20 PDF BibTeX XML Cite \textit{T. Beck} et al., Calc. Var. Partial Differ. Equ. 57, No. 5, Paper No. 140, 13 p. (2018; Zbl 1401.35228) Full Text: DOI
Alon, Lior; Band, Ram; Berkolaiko, Gregory Nodal statistics on quantum graphs. (English) Zbl 1406.81037 Commun. Math. Phys. 362, No. 3, 909-948 (2018). Reviewer: Jonathan Rohleder (Stockholm) MSC: 81Q35 34B45 35J05 05C12 PDF BibTeX XML Cite \textit{L. Alon} et al., Commun. Math. Phys. 362, No. 3, 909--948 (2018; Zbl 1406.81037) Full Text: DOI
Branding, Volker A note on twisted Dirac operators on closed surfaces. (English) Zbl 1395.53056 Differ. Geom. Appl. 60, 54-65 (2018). MSC: 53C27 58J05 58C40 PDF BibTeX XML Cite \textit{V. Branding}, Differ. Geom. Appl. 60, 54--65 (2018; Zbl 1395.53056) Full Text: DOI
Berdnikov, Aleksandr Bounds on multiplicities of Laplace operator eigenvalues on surfaces. (English) Zbl 1397.58018 J. Spectr. Theory 8, No. 2, 541-554 (2018). Reviewer: Laurent Guillopé (Nantes) MSC: 58J50 35J05 35J25 35P15 35P20 35R01 PDF BibTeX XML Cite \textit{A. Berdnikov}, J. Spectr. Theory 8, No. 2, 541--554 (2018; Zbl 1397.58018) Full Text: DOI arXiv
Branding, Volker An estimate on the nodal set of eigenspinors on closed surfaces. (English) Zbl 1390.53047 Math. Z. 288, No. 1-2, 1-10 (2018). Reviewer: Peter B. Gilkey (Eugene) MSC: 53C27 58J50 58C40 PDF BibTeX XML Cite \textit{V. Branding}, Math. Z. 288, No. 1--2, 1--10 (2018; Zbl 1390.53047) Full Text: DOI
Agranovsky, Mark L. Ruled nodal surfaces of Laplace eigenfunctions and injectivity sets for the spherical mean Radon transform in \(\mathbb{R}^3\). (English) Zbl 1408.35102 J. Spectr. Theory 7, No. 4, 1039-1099 (2017). Reviewer: James Bernard Kennedy (Lisboa) MSC: 35P05 35J05 44A12 53C12 58C40 58J50 PDF BibTeX XML Cite \textit{M. L. Agranovsky}, J. Spectr. Theory 7, No. 4, 1039--1099 (2017; Zbl 1408.35102) Full Text: DOI
Band, Ram; Bersudsky, Michael; Fajman, David Courant-sharp eigenvalues of Neumann 2-rep-tiles. (English) Zbl 1372.35192 Lett. Math. Phys. 107, No. 5, 821-859 (2017). MSC: 35P05 35B05 58C40 58J50 PDF BibTeX XML Cite \textit{R. Band} et al., Lett. Math. Phys. 107, No. 5, 821--859 (2017; Zbl 1372.35192) Full Text: DOI arXiv
Wang, Yu Ping; Shieh, Chung Tsun; Miao, Hong Yi Inverse transmission eigenvalue problems with the twin-dense nodal subset. (English) Zbl 1368.34029 J. Inverse Ill-Posed Probl. 25, No. 2, 237-249 (2017). Reviewer: Chuan-Fu Yang (Nanjing) MSC: 34A55 34L40 34B24 34L15 PDF BibTeX XML Cite \textit{Y. P. Wang} et al., J. Inverse Ill-Posed Probl. 25, No. 2, 237--249 (2017; Zbl 1368.34029) Full Text: DOI
Jakobson, Dmitry; Naud, Frédéric On the nodal lines of Eisenstein series on Schottky surfaces. (English) Zbl 1382.58024 Commun. Math. Phys. 351, No. 2, 493-523 (2017). Reviewer: Emilio A. Lauret (Córdoba) MSC: 58J50 35P15 PDF BibTeX XML Cite \textit{D. Jakobson} and \textit{F. Naud}, Commun. Math. Phys. 351, No. 2, 493--523 (2017; Zbl 1382.58024) Full Text: DOI
Ghimenti, Marco; Moroz, Vitaly; van Schaftingen, Jean Least action nodal solutions for the quadratic Choquard equation. (English) Zbl 1355.35079 Proc. Am. Math. Soc. 145, No. 2, 737-747 (2017). MSC: 35J91 35J20 35Q55 PDF BibTeX XML Cite \textit{M. Ghimenti} et al., Proc. Am. Math. Soc. 145, No. 2, 737--747 (2017; Zbl 1355.35079) Full Text: DOI arXiv
Enciso, Alberto; Hartley, David; Peralta-Salas, Daniel Laplace operators with eigenfunctions whose nodal set is a knot. (English) Zbl 1357.58030 J. Funct. Anal. 271, No. 1, 182-200 (2016). Reviewer: Lizhen Ji (Ann Arbor) MSC: 58J50 57M25 PDF BibTeX XML Cite \textit{A. Enciso} et al., J. Funct. Anal. 271, No. 1, 182--200 (2016; Zbl 1357.58030) Full Text: DOI arXiv
Ghimenti, Marco; Van Schaftingen, Jean Nodal solutions for the Choquard equation. (English) Zbl 1345.35046 J. Funct. Anal. 271, No. 1, 107-135 (2016). Reviewer: Leszek Gasiński (Kraków) MSC: 35J91 35J20 35Q55 PDF BibTeX XML Cite \textit{M. Ghimenti} and \textit{J. Van Schaftingen}, J. Funct. Anal. 271, No. 1, 107--135 (2016; Zbl 1345.35046) Full Text: DOI arXiv
Lin, Fanghua; Liu, Dan On the Betti numbers of level sets of solutions to elliptic equations. (English) Zbl 1336.35130 Discrete Contin. Dyn. Syst. 36, No. 8, 4517-4529 (2016). MSC: 35J15 82D55 35B25 35B40 35Q55 PDF BibTeX XML Cite \textit{F. Lin} and \textit{D. Liu}, Discrete Contin. Dyn. Syst. 36, No. 8, 4517--4529 (2016; Zbl 1336.35130) Full Text: DOI
Zhang, Shan; Liu, Zuhan Singularities of the nodal set of segregated configurations. (English) Zbl 1341.35044 Calc. Var. Partial Differ. Equ. 54, No. 2, 2017-2037 (2015). Reviewer: Christos Sourdis (Torino) MSC: 35J47 35B40 35R35 PDF BibTeX XML Cite \textit{S. Zhang} and \textit{Z. Liu}, Calc. Var. Partial Differ. Equ. 54, No. 2, 2017--2037 (2015; Zbl 1341.35044) Full Text: DOI
Lampart, Jonas Convergence of nodal sets in the adiabatic limit. (English) Zbl 1311.58017 Ann. Global Anal. Geom. 47, No. 2, 147-166 (2015). MSC: 58J50 58J32 35B05 PDF BibTeX XML Cite \textit{J. Lampart}, Ann. Global Anal. Geom. 47, No. 2, 147--166 (2015; Zbl 1311.58017) Full Text: DOI arXiv
Jakobson, Dmitry; Ng, Thomas; Stevenson, Matthew; Suzuki, Mashbat Conformally covariant operators and conformal invariants on weighted graphs. (English) Zbl 1307.05095 Geom. Dedicata 174, 339-357 (2015). MSC: 05C22 05C50 53A30 53A55 58D27 58J50 53C21 PDF BibTeX XML Cite \textit{D. Jakobson} et al., Geom. Dedicata 174, 339--357 (2015; Zbl 1307.05095) Full Text: DOI arXiv
Földes, J.; Poláčik, P. Equilibria with a nontrivial nodal set and the dynamics of parabolic equations on symmetric domains. (English) Zbl 1328.35109 J. Differ. Equations 258, No. 6, 1859-1888 (2015). Reviewer: Antonio Greco (Cagliari) MSC: 35K58 35B06 35B08 PDF BibTeX XML Cite \textit{J. Földes} and \textit{P. Poláčik}, J. Differ. Equations 258, No. 6, 1859--1888 (2015; Zbl 1328.35109) Full Text: DOI
Poliquin, Guillaume Bounds on the principal frequency of the \(p\)-Laplacian. (English) Zbl 1372.35208 Albin, Pierre (ed.) et al., Geometric and spectral analysis. CRM workshops on ‘Geometry of eigenvalues and eigenfunctions, June 4–8, 2012’, ‘Manifolds of metrics and probabilistic methods in geometry and analysis’, July 2–6, 2012, ‘Spectral invariants on non-compact and singular spaces’, July 23–27, 2012, Centre de Recherches Mathématiques, Montréal, Canada. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-1043-8/pbk; 978-1-4704-2059-8/ebook). Contemporary Mathematics 630. Centre de Recherches Mathématiques Proceedings, 349-366 (2014). Reviewer: Said El Manouni (Berlin) MSC: 35P30 58J50 35P15 35J92 PDF BibTeX XML Cite \textit{G. Poliquin}, Contemp. Math. 630, 349--366 (2014; Zbl 1372.35208) Full Text: arXiv
Zúñiga, Andrés; Agudelo, Oscar A two end family of solutions for the inhomogeneous Allen-Cahn equation in \(\mathbb R^2\). (English) Zbl 1320.35030 J. Differ. Equations 256, No. 1, 157-205 (2014). MSC: 35B25 35B08 35J61 PDF BibTeX XML Cite \textit{A. Zúñiga} and \textit{O. Agudelo}, J. Differ. Equations 256, No. 1, 157--205 (2014; Zbl 1320.35030) Full Text: DOI arXiv
Yang, Chuan-Fu Solutions to open problems of Yang concerning inverse nodal problems. (English) Zbl 1309.34015 Isr. J. Math. 204, 283-298 (2014). MSC: 34A55 34B24 34L05 PDF BibTeX XML Cite \textit{C.-F. Yang}, Isr. J. Math. 204, 283--298 (2014; Zbl 1309.34015) Full Text: DOI
Canzani, Yaiza; Gover, Rod; Jakobson, Dmitry; Ponge, Raphaël Conformal invariants from nodal sets. I: Negative eigenvalues and curvature prescription. With an appendix by Rod Gover and Andrea Malchiodi. (English) Zbl 1321.58022 Int. Math. Res. Not. 2014, No. 9, 2356-2400 (2014). Reviewer: Hans-Bert Rademacher (Leipzig) MSC: 58J50 53C21 53C25 58C40 PDF BibTeX XML Cite \textit{Y. Canzani} et al., Int. Math. Res. Not. 2014, No. 9, 2356--2400 (2014; Zbl 1321.58022) Full Text: DOI arXiv
Nadirashvili, Nikolai; Varkentina, Nadezda Sets of unique continuation for heat equation. (English) Zbl 1307.35071 Potential Anal. 41, No. 4, 1267-1272 (2014). MSC: 35B60 35B05 35K05 35R30 PDF BibTeX XML Cite \textit{N. Nadirashvili} and \textit{N. Varkentina}, Potential Anal. 41, No. 4, 1267--1272 (2014; Zbl 1307.35071) Full Text: DOI arXiv
Kokarev, Gerasim On multiplicity bounds for Schrödinger eigenvalues on Riemannian surfaces. (English) Zbl 1301.58016 Anal. PDE 7, No. 6, 1397-1420 (2014). MSC: 58J50 35P99 35B05 PDF BibTeX XML Cite \textit{G. Kokarev}, Anal. PDE 7, No. 6, 1397--1420 (2014; Zbl 1301.58016) Full Text: DOI arXiv
Mazzeo, Rafe; Saez, Mariel Multiple-layer solutions to the Allen-Cahn equation on hyperbolic space. (English) Zbl 1298.53034 Proc. Am. Math. Soc. 142, No. 8, 2859-2869 (2014). MSC: 53C21 35J61 58J60 PDF BibTeX XML Cite \textit{R. Mazzeo} and \textit{M. Saez}, Proc. Am. Math. Soc. 142, No. 8, 2859--2869 (2014; Zbl 1298.53034) Full Text: DOI
Mangoubi, Dan A gradient estimate for harmonic functions sharing the same zeros. (English) Zbl 1295.31006 Electron. Res. Announc. Math. Sci. 21, 62-71 (2014). MSC: 31A05 PDF BibTeX XML Cite \textit{D. Mangoubi}, Electron. Res. Announc. Math. Sci. 21, 62--71 (2014; Zbl 1295.31006) Full Text: DOI arXiv
Tian, Long; Yang, Xiaoping Nodal sets and horizontal singular sets of \(\mathbb{H}\)-harmonic functions on the Heisenberg group. (English) Zbl 1307.35309 Commun. Contemp. Math. 16, No. 4, Article ID 1350049, 24 p. (2014). Reviewer: Nathaniel Eldredge (Greeley) MSC: 35R03 35B05 35H10 53C17 22E25 22E30 PDF BibTeX XML Cite \textit{L. Tian} and \textit{X. Yang}, Commun. Contemp. Math. 16, No. 4, Article ID 1350049, 24 p. (2014; Zbl 1307.35309) Full Text: DOI
Poláčik, P.; Terracini, Susanna Nonnegative solutions with a nontrivial nodal set for elliptic equations on smooth symmetric domains. (English) Zbl 1286.35109 Proc. Am. Math. Soc. 142, No. 4, 1249-1259 (2014). MSC: 35J61 35B06 35B05 PDF BibTeX XML Cite \textit{P. Poláčik} and \textit{S. Terracini}, Proc. Am. Math. Soc. 142, No. 4, 1249--1259 (2014; Zbl 1286.35109) Full Text: DOI
Poláčik, Peter On the multiplicity of nonnegative solutions with a nontrivial nodal set for elliptic equations on symmetric domains. (English) Zbl 1285.35034 Discrete Contin. Dyn. Syst. 34, No. 6, 2657-2667 (2014). MSC: 35J60 35B06 35B05 PDF BibTeX XML Cite \textit{P. Poláčik}, Discrete Contin. Dyn. Syst. 34, No. 6, 2657--2667 (2014; Zbl 1285.35034) Full Text: DOI
Kang, Zhan; Wang, Yiqiang Integrated topology optimization with embedded movable holes based on combined description by material density and level sets. (English) Zbl 1297.74092 Comput. Methods Appl. Mech. Eng. 255, 1-13 (2013). MSC: 74P10 74P15 49K30 49Q12 74G15 74Q05 PDF BibTeX XML Cite \textit{Z. Kang} and \textit{Y. Wang}, Comput. Methods Appl. Mech. Eng. 255, 1--13 (2013; Zbl 1297.74092) Full Text: DOI
Bonheure, Denis; Derlet, Ann; De Valeriola, Sébastien On the multiplicity of nodal solutions of a prescribed mean curvature problem. (English) Zbl 1281.35054 Math. Nachr. 286, No. 11-12, 1072-1086 (2013). Reviewer: Leszek Gasiński (Kraków) MSC: 35J93 35J25 35B05 PDF BibTeX XML Cite \textit{D. Bonheure} et al., Math. Nachr. 286, No. 11--12, 1072--1086 (2013; Zbl 1281.35054) Full Text: DOI
Grumiau, Christopher Nonlinear Schrödinger problems: symmetries of some variational solutions. (English) Zbl 1292.35279 NoDEA, Nonlinear Differ. Equ. Appl. 20, No. 3, 511-521 (2013). MSC: 35Q55 35J20 35A30 PDF BibTeX XML Cite \textit{C. Grumiau}, NoDEA, Nonlinear Differ. Equ. Appl. 20, No. 3, 511--521 (2013; Zbl 1292.35279) Full Text: DOI arXiv
Mangoubi, Dan The effect of curvature on convexity properties of harmonic functions and eigenfunctions. (English) Zbl 1316.35220 J. Lond. Math. Soc., II. Ser. 87, No. 3, 645-662 (2013). Reviewer: Luis Filipe Pinheiro de Castro (Aveiro) MSC: 35P20 35J15 53C21 58J50 PDF BibTeX XML Cite \textit{D. Mangoubi}, J. Lond. Math. Soc., II. Ser. 87, No. 3, 645--662 (2013; Zbl 1316.35220) Full Text: DOI arXiv
Gnutzmann, Sven; Lois, Stylianos On the nodal count statistics for separable systems in any dimension. (English) Zbl 1290.35165 J. Phys. A, Math. Theor. 46, No. 4, Article ID 045201, 18 p. (2013). Reviewer: Javier de Lucas (Warszawa) MSC: 35P20 35P99 PDF BibTeX XML Cite \textit{S. Gnutzmann} and \textit{S. Lois}, J. Phys. A, Math. Theor. 46, No. 4, Article ID 045201, 18 p. (2013; Zbl 1290.35165) Full Text: DOI arXiv
De Marchis, Francesca; Ianni, Isabella; Pacella, Filomena Sign-changing solutions of Lane Emden problems with interior nodal line and semilinear heat equations. (English) Zbl 06154873 J. Differ. Equations 254, No. 8, 3596-3614 (2013). MSC: 35B05 35B06 35J91 35K91 PDF BibTeX XML Cite \textit{F. De Marchis} et al., J. Differ. Equations 254, No. 8, 3596--3614 (2013; Zbl 06154873) Full Text: DOI arXiv
Ariturk, Sinan Lower bounds for nodal sets of Dirichlet and Neumann eigenfunctions. (English) Zbl 1262.58020 Commun. Math. Phys. 317, No. 3, 817-825 (2013). Reviewer: Volker Branding (Wien) MSC: 58J50 58C40 PDF BibTeX XML Cite \textit{S. Ariturk}, Commun. Math. Phys. 317, No. 3, 817--825 (2013; Zbl 1262.58020) Full Text: DOI arXiv
Luo, Zhen; Zhang, Nong; Wang, Yu A physically meaningful level set method for topology optimization of structures. (English) Zbl 1356.74164 CMES, Comput. Model. Eng. Sci. 83, No. 1, 73-96 (2012). MSC: 74P15 74S05 90C90 PDF BibTeX XML Cite \textit{Z. Luo} et al., CMES, Comput. Model. Eng. Sci. 83, No. 1, 73--96 (2012; Zbl 1356.74164) Full Text: DOI
Judge, Chris The nodal set of a finite sum of Maass cusp forms is a graph. (English) Zbl 1353.11080 Barnett, Alex H. (ed.) et al., Spectral geometry. Based on the international conference, Dartmouth, NH, USA, July 19–23, 2010. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-5319-1/hbk). Proceedings of Symposia in Pure Mathematics 84, 237-241 (2012). MSC: 11F72 58C40 58J50 PDF BibTeX XML Cite \textit{C. Judge}, Proc. Symp. Pure Math. 84, 237--241 (2012; Zbl 1353.11080) Full Text: DOI
Laurent, Bakri Critical sets of eigenfunctions of the Laplacian. (English) Zbl 1252.58018 J. Geom. Phys. 62, No. 10, 2024-2037 (2012). Reviewer: Laurent Guillopé (Nantes) MSC: 58J50 53C21 35P05 49Q15 PDF BibTeX XML Cite \textit{B. Laurent}, J. Geom. Phys. 62, No. 10, 2024--2037 (2012; Zbl 1252.58018) Full Text: DOI arXiv
Mangoubi, Dan A remark on recent lower bounds for nodal sets. (English) Zbl 1232.58025 Commun. Partial Differ. Equations 36, No. 10-12, 2208-2212 (2011). MSC: 58J50 35P15 PDF BibTeX XML Cite \textit{D. Mangoubi}, Commun. Partial Differ. Equations 36, No. 10--12, 2208--2212 (2011; Zbl 1232.58025) Full Text: DOI arXiv
Lisi, Samuel T. Dividing sets as nodal sets of an eigenfunction of the Laplacian. (English) Zbl 1228.57010 Algebr. Geom. Topol. 11, No. 3, 1435-1443 (2011). Reviewer: Haruo S. Suzuki (Sapporo) MSC: 57R17 53D10 PDF BibTeX XML Cite \textit{S. T. Lisi}, Algebr. Geom. Topol. 11, No. 3, 1435--1443 (2011; Zbl 1228.57010) Full Text: DOI arXiv
Gichev, V. M. Some remarks on spherical harmonics. (English. Russian original) Zbl 1206.33023 St. Petersbg. Math. J. 20, No. 4, 553-567 (2009); translation from Algebra Anal. 20, No. 4, 64-86 (2008). MSC: 33E30 33C50 35J05 35P05 PDF BibTeX XML Cite \textit{V. M. Gichev}, St. Petersbg. Math. J. 20, No. 4, 553--567 (2009; Zbl 1206.33023); translation from Algebra Anal. 20, No. 4, 64--86 (2008) Full Text: DOI arXiv
Wigman, Igor On the distribution of the nodal sets of random spherical harmonics. (English) Zbl 1200.58021 J. Math. Phys. 50, No. 1, 013521, 44 p. (2009). MSC: 58J50 33C55 35J05 35P20 PDF BibTeX XML Cite \textit{I. Wigman}, J. Math. Phys. 50, No. 1, 013521, 44 p. (2009; Zbl 1200.58021) Full Text: DOI arXiv
Girão, Pedro M.; Gomes, José Maria Multi-bump nodal solutions for an indefinite non-homogeneous elliptic problem. (English) Zbl 1172.35403 Proc. R. Soc. Edinb., Sect. A, Math. 139, No. 4, 797-817 (2009). MSC: 35J65 35J60 35J20 PDF BibTeX XML Cite \textit{P. M. Girão} and \textit{J. M. Gomes}, Proc. R. Soc. Edinb., Sect. A, Math. 139, No. 4, 797--817 (2009; Zbl 1172.35403) Full Text: DOI arXiv
Klawonn, David Inverse nodal problems. (English) Zbl 1166.58014 J. Phys. A, Math. Theor. 42, No. 17, Article ID 175209, 11 p. (2009). Reviewer: Peter B. Gilkey (Eugene) MSC: 58J50 PDF BibTeX XML Cite \textit{D. Klawonn}, J. Phys. A, Math. Theor. 42, No. 17, Article ID 175209, 11 p. (2009; Zbl 1166.58014) Full Text: DOI arXiv
Holdych, David J.; Noble, David R.; Secor, Robert B. Quadrature rules for triangular and tetrahedral elements with generalized functions. (English) Zbl 1167.74043 Int. J. Numer. Methods Eng. 73, No. 9, 1310-1327 (2008). MSC: 74S05 65D32 PDF BibTeX XML Cite \textit{D. J. Holdych} et al., Int. J. Numer. Methods Eng. 73, No. 9, 1310--1327 (2008; Zbl 1167.74043) Full Text: DOI
Wang, Peihe; Shen, Chunli A global curvature Pinching result of the first eigenvalue of Laplacian. (Chinese. English summary) Zbl 1164.58008 Acta Math. Sin., Chin. Ser. 51, No. 1, 115-122 (2008). MSC: 58J50 35P15 PDF BibTeX XML Cite \textit{P. Wang} and \textit{C. Shen}, Acta Math. Sin., Chin. Ser. 51, No. 1, 115--122 (2008; Zbl 1164.58008)
Zelditch, Steve Local and global analysis of eigenfunctions on Riemannian manifolds. (English) Zbl 1176.58017 Ji, Lizhen (ed.) et al., Handbook of geometric analysis. No. 1. Somerville, MA: International Press; Beijing: Higher Education Press (ISBN 978-1-57146-130-8/hbk). Advanced Lectures in Mathematics (ALM) 7, 545-658 (2008). Reviewer: Hans-Bert Rademacher (Leipzig) MSC: 58J50 34L20 35P20 53D25 35J05 35L05 58J40 60G60 37D40 37A30 58-02 PDF BibTeX XML Cite \textit{S. Zelditch}, in: Handbook of geometric analysis. No. 1. Somerville, MA: International Press; Beijing: Higher Education Press. 545--658 (2008; Zbl 1176.58017) Full Text: arXiv
Bonheure, Denis; Bouchez, Vincent; Grumiau, Christopher; van Schaftingen, Jean Asymptotics and symmetries of least energy nodal solutions of Lane-Emden problems with slow growth. (English) Zbl 1156.35037 Commun. Contemp. Math. 10, No. 4, 609-631 (2008). MSC: 35J65 35J60 35B30 35B40 35J20 35A30 PDF BibTeX XML Cite \textit{D. Bonheure} et al., Commun. Contemp. Math. 10, No. 4, 609--631 (2008; Zbl 1156.35037) Full Text: DOI
Freitas, P.; Krejčiřík, D. Location of the nodal set for thin curved tubes. (English) Zbl 1187.35142 Indiana Univ. Math. J. 57, No. 1, 343-375 (2008). Reviewer: Themistocles M. Rassias (Athens) MSC: 35P05 35J10 35J25 35B25 35B38 PDF BibTeX XML Cite \textit{P. Freitas} and \textit{D. Krejčiřík}, Indiana Univ. Math. J. 57, No. 1, 343--375 (2008; Zbl 1187.35142) Full Text: DOI
Oravecz, Ferenc; Rudnick, Zeév; Wigman, Igor The Leray measure of nodal sets for random eigenfunctions on the torus. (English) Zbl 1153.35058 Ann. Inst. Fourier 58, No. 1, 299-335 (2008). Reviewer: Feng-Yu Wang (Swansea) MSC: 35P20 58J50 PDF BibTeX XML Cite \textit{F. Oravecz} et al., Ann. Inst. Fourier 58, No. 1, 299--335 (2008; Zbl 1153.35058) Full Text: DOI Numdam EuDML arXiv
Rudnick, Zeév; Wigman, Igor On the volume of nodal sets for eigenfunctions of the Laplacian on the torus. (English) Zbl 1142.60029 Ann. Henri Poincaré 9, No. 1, 109-130 (2008). Reviewer: Salah Mehdi (Nanterre) MSC: 60G15 58J50 58J37 PDF BibTeX XML Cite \textit{Z. Rudnick} and \textit{I. Wigman}, Ann. Henri Poincaré 9, No. 1, 109--130 (2008; Zbl 1142.60029) Full Text: DOI arXiv
Qian, Aixia Neumann problem of an elliptic equation with strong resonance. (English) Zbl 1168.35019 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 66, No. 9, 1885-1898 (2007). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 35J65 35B34 58E05 PDF BibTeX XML Cite \textit{A. Qian}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 66, No. 9, 1885--1898 (2007; Zbl 1168.35019) Full Text: DOI
Benci, Vieri; Micheletti, Anna Maria; Shteto, Edlira On a second order boundary value problem with singular nonlinearity. (English) Zbl 1135.35039 Topol. Methods Nonlinear Anal. 27, No. 1, 1-28 (2006). MSC: 35J65 35J20 PDF BibTeX XML Cite \textit{V. Benci} et al., Topol. Methods Nonlinear Anal. 27, No. 1, 1--28 (2006; Zbl 1135.35039)
Bartsch, Thomas; Liu, Zhaoli; Weth, Tobias Nodal solutions of a \(p\)-Laplacian equation. (English) Zbl 1162.35364 Proc. Lond. Math. Soc. (3) 91, No. 1, 129-152 (2005). MSC: 35J60 35B38 35J20 58E05 PDF BibTeX XML Cite \textit{T. Bartsch} et al., Proc. Lond. Math. Soc. (3) 91, No. 1, 129--152 (2005; Zbl 1162.35364) Full Text: DOI
Liu, Zhaoli; Wang, Zhi-Qiang Schrödinger equations with concave and convex nonlinearities. (English) Zbl 1113.35071 Z. Angew. Math. Phys. 56, No. 4, 609-629 (2005). Reviewer: Messoud A. Efendiev (Berlin) MSC: 35J60 35B38 35J20 47J30 58E05 PDF BibTeX XML Cite \textit{Z. Liu} and \textit{Z.-Q. Wang}, Z. Angew. Math. Phys. 56, No. 4, 609--629 (2005; Zbl 1113.35071) Full Text: DOI
Gichev, V. M. A note on common zeroes of Laplace-Beltrami eigenfunctions. (English) Zbl 1067.58024 Ann. Global Anal. Geom. 26, No. 2, 201-208 (2004). Reviewer: Ilka Agricola (Berlin) MSC: 58J50 PDF BibTeX XML Cite \textit{V. M. Gichev}, Ann. Global Anal. Geom. 26, No. 2, 201--208 (2004; Zbl 1067.58024) Full Text: DOI arXiv
Torné, Olaf A remark on minimal nodal solutions of an elliptic problem in a ball. (English) Zbl 1124.35022 Topol. Methods Nonlinear Anal. 24, No. 2, 199-207 (2004). MSC: 35J60 35J25 PDF BibTeX XML Cite \textit{O. Torné}, Topol. Methods Nonlinear Anal. 24, No. 2, 199--207 (2004; Zbl 1124.35022) Full Text: DOI
Gladwell, G. M. L.; Zhu, H. Courant’s nodal line theorem and its discrete counterparts. (English) Zbl 0997.65125 Q. J. Mech. Appl. Math. 55, No. 1, 1-15 (2002). Reviewer: Michel Bernadou (Paris La Defense) MSC: 65N25 65N30 35P15 74H45 76Q05 35S05 74S05 76M10 PDF BibTeX XML Cite \textit{G. M. L. Gladwell} and \textit{H. Zhu}, Q. J. Mech. Appl. Math. 55, No. 1, 1--15 (2002; Zbl 0997.65125) Full Text: DOI
Ma, J.; Yong, J. Approximate solvability of forward-backward stochastic differential equations. (English) Zbl 0996.60075 Appl. Math. Optimization 45, No. 1, 1-22 (2002). Reviewer: Rainer Buckdahn (Brest) MSC: 60H15 35R60 34F05 93E20 PDF BibTeX XML Cite \textit{J. Ma} and \textit{J. Yong}, Appl. Math. Optim. 45, No. 1, 1--22 (2002; Zbl 0996.60075) Full Text: DOI
Damascelli, Lucio On the nodal set of the second eigenfunction of the Laplacian in symmetric domains \(\mathbb R^N \). (English) Zbl 1042.35036 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 11, No. 3, 175-181 (2000). Reviewer: Gelu Pasa (Bucharest) MSC: 35P05 35A30 PDF BibTeX XML Cite \textit{L. Damascelli}, Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 11, No. 3, 175--181 (2000; Zbl 1042.35036)
Comte, Myriam; Haraux, Alain; Mironescu, Petru Multiplicity and stability topics in semilinear parabolic equations. (English) Zbl 0979.35011 Differ. Integral Equ. 13, No. 7-9, 801-811 (2000). Reviewer: Dian K.Palagachev (Bari) MSC: 35B05 35J65 35B35 PDF BibTeX XML Cite \textit{M. Comte} et al., Differ. Integral Equ. 13, No. 7--9, 801--811 (2000; Zbl 0979.35011)
Cipriani, Fabio Estimates for capacities of nodal sets and polarity criteria in recurrent Dirichlet spaces. (English) Zbl 0945.31004 Forum Math. 12, No. 1, 1-21 (2000). Reviewer: Wolfhard Hansen (Bielefeld) MSC: 31C25 60J45 60J60 PDF BibTeX XML Cite \textit{F. Cipriani}, Forum Math. 12, No. 1, 1--21 (2000; Zbl 0945.31004) Full Text: DOI
Comte, Myriam; Haraux, Alain The oscillation pattern of solutions to parabolic equations as time goes to infinity. (English) Zbl 0962.35096 Commun. Contemp. Math. 1, No. 3, 451-466 (1999). Reviewer: Peter Polacik (Bratislava) MSC: 35K60 35B05 PDF BibTeX XML Cite \textit{M. Comte} and \textit{A. Haraux}, Commun. Contemp. Math. 1, No. 3, 451--466 (1999; Zbl 0962.35096) Full Text: DOI
Nadirashvili, N. Harmonic functions with bounded number of nodal domains. (English) Zbl 1015.31001 Appl. Anal. 71, No. 1-4, 187-196 (1999). MSC: 31A05 PDF BibTeX XML Cite \textit{N. Nadirashvili}, Appl. Anal. 71, No. 1--4, 187--196 (1999; Zbl 1015.31001) Full Text: DOI
Helffer, B.; Hoffmann-Ostenhof, M.; Hoffmann-Ostenhof, T.; Owen, M. P. Nodal sets for ground states of Schrödinger operators with zero magnetic field in non simply connected domains. (English) Zbl 1042.81012 Commun. Math. Phys. 202, No. 3, 629-649 (1999). Reviewer: Michael Perelmuter (Kyïv) MSC: 81Q05 35P99 35J10 PDF BibTeX XML Cite \textit{B. Helffer} et al., Commun. Math. Phys. 202, No. 3, 629--649 (1999; Zbl 1042.81012) Full Text: DOI arXiv
Yang, Xue-Feng Nodal sets and Morse indices of solutions of super-linear elliptic PDEs. (English) Zbl 0919.35049 J. Funct. Anal. 160, No. 1, 223-253 (1998). MSC: 35J65 58E05 35J20 PDF BibTeX XML Cite \textit{X.-F. Yang}, J. Funct. Anal. 160, No. 1, 223--253 (1998; Zbl 0919.35049) Full Text: DOI
Jerrard, Robert Leon; Soner, Halil Mete Dynamics of Ginzburg-Landau vortices. (English) Zbl 0923.35167 Arch. Ration. Mech. Anal. 142, No. 2, 99-125 (1998). Reviewer: Jan Chrastina (Brno) MSC: 35Q55 35K57 PDF BibTeX XML Cite \textit{R. L. Jerrard} and \textit{H. M. Soner}, Arch. Ration. Mech. Anal. 142, No. 2, 99--125 (1998; Zbl 0923.35167) Full Text: DOI
Hoffmann-Ostenhof, M.; Hoffmann-Ostenhof, T.; Nadirashvili, N. On the nodal line conjecture. (English) Zbl 0895.35068 Carlen, Eric (ed.) et al., Advances in differential equations and mathematical physics. 1997 Georgia Tech-UAB international conference, Atlanta, GA, USA, March 23–29, 1997. Providence, RI: American Mathematical Society. Contemp. Math. 217, 33-48 (1998). MSC: 35P05 35B05 35J05 PDF BibTeX XML Cite \textit{M. Hoffmann-Ostenhof} et al., Contemp. Math. 217, 33--48 (1998; Zbl 0895.35068)
Bär, Christian On Nodal Sets for Dirac and Laplace Operators. (English) Zbl 0888.47028 Commun. Math. Phys. 188, No. 3, 709-721 (1997). MSC: 47F05 58J05 PDF BibTeX XML Cite \textit{C. Bär}, Commun. Math. Phys. 188, No. 3, 709--721 (1997; Zbl 0888.47028) Full Text: DOI arXiv
Sukumar, N.; Moran, B.; Black, T.; Belytschko, T. An element-free Galerkin method for three-dimensional fracture mechanics. (English) Zbl 0888.73066 Comput. Mech. 20, No. 1-2, 170-175 (1997). MSC: 74S05 74R99 PDF BibTeX XML Cite \textit{N. Sukumar} et al., Comput. Mech. 20, No. 1--2, 170--175 (1997; Zbl 0888.73066) Full Text: DOI
Anane, A.; Tsouli, N. On the second eigenvalue of the \(p\)-Laplacian. (English) Zbl 0854.35081 Benkirane, A. (ed.) et al., Nonlinear partial differential equations. Based on the international conference on nonlinear analysis, Fés, Morocco, May 9-14, 1994. Harlow: Longman. Pitman Res. Notes Math. Ser. 343, 1-9 (1996). Reviewer: M.Kučera (Praha) MSC: 35P30 35J60 35J20 PDF BibTeX XML Cite \textit{A. Anane} and \textit{N. Tsouli}, in: Nonlinear partial differential equations. Based on the international conference on nonlinear analysis, Fés, Morocco, May 9-14, 1994. Harlow: Longman. 1--9 (1996; Zbl 0854.35081)
Seok, Yong Jing Radial symmetry and spherical nodal set of solutions of nonlinear elliptic equations. (English) Zbl 0943.35035 Commun. Korean Math. Soc. 10, No. 1, 133-135 (1995). MSC: 35J65 35B05 35J67 PDF BibTeX XML Cite \textit{Y. J. Seok}, Commun. Korean Math. Soc. 10, No. 1, 133--135 (1995; Zbl 0943.35035)
Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas; Nadirashvili, N. Interior Hölder estimates for solutions of Schrödinger equations and the regularity of nodal sets. (English) Zbl 0846.35036 Commun. Partial Differ. Equations 20, No. 7-8, 1241-1273 (1995). Reviewer: V.Ďurikovič (Bratislava) MSC: 35J10 35B45 PDF BibTeX XML Cite \textit{M. Hoffmann-Ostenhof} et al., Commun. Partial Differ. Equations 20, No. 7--8, 1241--1273 (1995; Zbl 0846.35036) Full Text: DOI
Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas; Nadirashvili, N. Regularity of the nodal sets of solutions to Schrödinger equations. (English) Zbl 0817.35019 Demuth, Michael (ed.) et al., Mathematical results in quantum mechanics: International conference in Blossin (Germany), May 17-21, 1993. Basel: Birkhäuser Verlag. Oper. Theory, Adv. Appl. 70, 19-25 (1994). Reviewer: D.Palagachev (Sofia) MSC: 35J10 35B05 PDF BibTeX XML Cite \textit{M. Hoffmann-Ostenhof} et al., in: Mathematical results in quantum mechanics: International conference in Blossin (Germany), May 17-21, 1993. Basel: Birkhäuser Verlag. 19--25 (1994; Zbl 0817.35019)
Chen, Jingyi The local structure of nodal set of solutions of Schrödinger equation on Riemannian 3-manifolds. (English) Zbl 0833.58035 Manuscr. Math. 85, No. 3-4, 255-263 (1994). Reviewer: O.Liess (Darmstadt) MSC: 58J05 35J10 PDF BibTeX XML Cite \textit{J. Chen}, Manuscr. Math. 85, No. 3--4, 255--263 (1994; Zbl 0833.58035) Full Text: DOI EuDML
Donnelly, Harold Nodal sets for sums of eigenfunctions on Riemannian manifolds. (English) Zbl 0806.58051 Proc. Am. Math. Soc. 121, No. 3, 967-973 (1994). Reviewer: V.Oproiu (Iaşi) MSC: 58J50 58J60 53C20 PDF BibTeX XML Cite \textit{H. Donnelly}, Proc. Am. Math. Soc. 121, No. 3, 967--973 (1994; Zbl 0806.58051) Full Text: DOI
Healey, Timothy J.; Kielhöfer, Hansjörg Separation of global solution branches of elliptic systems with symmetry via nodal properties. (English) Zbl 0900.35047 Nonlinear Anal., Theory Methods Appl. 21, No. 9, 665-684 (1993). MSC: 35B32 35J60 35J45 35B05 PDF BibTeX XML Cite \textit{T. J. Healey} and \textit{H. Kielhöfer}, Nonlinear Anal., Theory Methods Appl. 21, No. 9, 665--684 (1993; Zbl 0900.35047) Full Text: DOI
Dong, Rui-Tao A BMO bound for eigenfunctions on Riemannian manifolds. (English) Zbl 0824.58046 Ni, Wei-Ming (ed.) et al., Degenerate diffusions. Proceedings of the IMA workshop, held at the University of Minnesota, MN, USA, from May 13 to May 18, 1991. New York: Springer-Verlag. IMA Vol. Math. Appl. 47, 71-76 (1993). Reviewer: Th.M.Rassias (Athens) MSC: 58J50 42C05 PDF BibTeX XML Cite \textit{R.-T. Dong}, IMA Vol. Math. Appl. 47, 71--76 (1993; Zbl 0824.58046)
Healey, Timothy J.; Kielhöfer, Hansjörg Preservation of nodal structure on global bifurcation solution branches of elliptic equations with symmetry. (English) Zbl 0788.35006 J. Differ. Equations 106, No. 1, 70-89 (1993). Reviewer: L.Recke (Berlin) MSC: 35B32 35J60 35B10 58E09 PDF BibTeX XML Cite \textit{T. J. Healey} and \textit{H. Kielhöfer}, J. Differ. Equations 106, No. 1, 70--89 (1993; Zbl 0788.35006) Full Text: DOI