Cao, Xinlin; Diao, Huaian; Liu, Hongyu; Zou, Jun On nodal and generalized singular structures of Laplacian eigenfunctions and applications to inverse scattering problems. (English. French summary) Zbl 1452.35120 J. Math. Pures Appl. (9) 143, 116-161 (2020). Reviewer: Khanlar R. Mamedov (Mersin) MSC: 35P05 35P25 35R30 35Q60 PDF BibTeX XML Cite \textit{X. Cao} et al., J. Math. Pures Appl. (9) 143, 116--161 (2020; Zbl 1452.35120) Full Text: DOI
Bobkov, Vladimir; Kolonitskii, Sergey On a property of the nodal set of least energy sign-changing solutions for quasilinear elliptic equations. (English) Zbl 1429.35103 Proc. R. Soc. Edinb., Sect. A, Math. 149, No. 5, 1163-1173 (2019). MSC: 35J92 35J40 PDF BibTeX XML Cite \textit{V. Bobkov} and \textit{S. Kolonitskii}, Proc. R. Soc. Edinb., Sect. A, Math. 149, No. 5, 1163--1173 (2019; Zbl 1429.35103) 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
Kennedy, J. B. A toy Neumann analogue of the nodal line conjecture. (English) Zbl 1391.35291 Arch. Math. 110, No. 3, 261-271 (2018). Reviewer: Dumitru Motreanu (Juiz de Fora) MSC: 35P05 35B05 35J05 58J50 PDF BibTeX XML Cite \textit{J. B. Kennedy}, Arch. Math. 110, No. 3, 261--271 (2018; Zbl 1391.35291) Full Text: DOI arXiv
Enciso, Alberto; Peralta-Salas, Daniel Topological monsters in elliptic equations and spectral theory. (English) Zbl 1350.35009 EMS Surv. Math. Sci. 3, No. 1, 107-130 (2016). MSC: 35B05 35J15 58J50 35P05 PDF BibTeX XML Cite \textit{A. Enciso} and \textit{D. Peralta-Salas}, EMS Surv. Math. Sci. 3, No. 1, 107--130 (2016; Zbl 1350.35009) Full Text: DOI
Noris, Benedetta; Nys, Manon; Terracini, Susanna On the Aharonov-Bohm operators with varying poles: the boundary behavior of eigenvalues. (English) Zbl 1326.35354 Commun. Math. Phys. 339, No. 3, 1101-1146 (2015). Reviewer: Alessandro Selvitella (Hamilton) MSC: 35Q55 35Q40 81Q05 35J10 35P20 PDF BibTeX XML Cite \textit{B. Noris} et al., Commun. Math. Phys. 339, No. 3, 1101--1146 (2015; Zbl 1326.35354) Full Text: DOI arXiv
Krejčiřík, David; Tušek, Matěj Nodal sets of thin curved layers. (English) Zbl 1323.35109 J. Differ. Equations 258, No. 2, 281-301 (2015). Reviewer: Peter B. Gilkey (Eugene) MSC: 35P05 58J50 PDF BibTeX XML Cite \textit{D. Krejčiřík} and \textit{M. Tušek}, J. Differ. Equations 258, No. 2, 281--301 (2015; Zbl 1323.35109) 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
Enciso, Alberto; Peralta-Salas, Daniel Submanifolds that are level sets of solutions to a second-order elliptic PDE. (English) Zbl 1296.35031 Adv. Math. 249, 204-249 (2013). Reviewer: Dian K. Palagachev (Bari) MSC: 35J15 35B05 35B35 PDF BibTeX XML Cite \textit{A. Enciso} and \textit{D. Peralta-Salas}, Adv. Math. 249, 204--249 (2013; Zbl 1296.35031) Full Text: DOI arXiv
Donnelly, Harold Spectral gap for convex planar domains. (English) Zbl 1228.35248 Math. Z. 269, No. 1-2, 1-3 (2011). MSC: 35Q79 35K05 35J10 PDF BibTeX XML Cite \textit{H. Donnelly}, Math. Z. 269, No. 1--2, 1--3 (2011; Zbl 1228.35248) Full Text: DOI
Kennedy, J. B. The nodal line of the second eigenfunction of the Robin Laplacian in \(\mathbb R^2\) can be closed. (English) Zbl 1223.35242 J. Differ. Equations 251, No. 12, 3606-3624 (2011). MSC: 35P05 35B05 35J05 PDF BibTeX XML Cite \textit{J. B. Kennedy}, J. Differ. Equations 251, No. 12, 3606--3624 (2011; Zbl 1223.35242) Full Text: DOI
Bonnaillie-Noël, Virginie; Helffer, Bernard; Vial, Gregory Numerical simulations for nodal domains and spectral minimal partitions. (English) Zbl 1191.35189 ESAIM, Control Optim. Calc. Var. 16, No. 1, 221-246 (2010). Reviewer: Qin Mengzhao (Beijing) MSC: 35P05 65N25 65N30 49Q10 35J05 PDF BibTeX XML Cite \textit{V. Bonnaillie-Noël} et al., ESAIM, Control Optim. Calc. Var. 16, No. 1, 221--246 (2010; Zbl 1191.35189) Full Text: DOI EuDML
Grumiau, Christopher; Troestler, Christophe Nodal line structure of least energy nodal solutions for Lane-Emden problems. (English. Abridged French version) Zbl 1177.35021 C. R., Math., Acad. Sci. Paris 347, No. 13-14, 767-771 (2009). MSC: 35B05 35J65 PDF BibTeX XML Cite \textit{C. Grumiau} and \textit{C. Troestler}, C. R., Math., Acad. Sci. Paris 347, No. 13--14, 767--771 (2009; Zbl 1177.35021) Full Text: DOI
Helffer, B.; Hoffmann-Ostenhof, T.; Terracini, S. Nodal domains and spectral minimal partitions. (English) Zbl 1171.35083 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 26, No. 1, 101-138 (2009). Reviewer: Ruxandra Stavre (Bucureşti) MSC: 35P05 35J10 35B65 PDF BibTeX XML Cite \textit{B. Helffer} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 26, No. 1, 101--138 (2009; Zbl 1171.35083) Full Text: DOI EuDML arXiv
Bañuelos, Rodrigo; Kulczycki, Tadeusz Eigenvalue gaps for the Cauchy process and a Poincaré inequality. (English) Zbl 1089.60029 J. Funct. Anal. 234, No. 1, 199-225 (2006). MSC: 60G52 60J45 PDF BibTeX XML Cite \textit{R. Bañuelos} and \textit{T. Kulczycki}, J. Funct. Anal. 234, No. 1, 199--225 (2006; Zbl 1089.60029) Full Text: DOI
Komendarczyk, R. On the contact geometry of nodal sets. (English) Zbl 1156.53318 Trans. Am. Math. Soc. 358, No. 6, 2399-2413 (2006). MSC: 53D10 35J05 58J50 PDF BibTeX XML Cite \textit{R. Komendarczyk}, Trans. Am. Math. Soc. 358, No. 6, 2399--2413 (2006; Zbl 1156.53318) Full Text: DOI arXiv
Liboff, Richard L. Nodal and other properties of the second eigenfunction of the Laplacian in the plane. (English) Zbl 1085.65106 Q. Appl. Math. 63, No. 4, 673-679 (2005). MSC: 65N25 35P05 35J05 PDF BibTeX XML Cite \textit{R. L. Liboff}, Q. Appl. Math. 63, No. 4, 673--679 (2005; Zbl 1085.65106) Full Text: DOI
Juutinen, Petri; Lindqvist, Peter On the higher eigenvalues for the \(\infty\)-eigenvalue problem. (English) Zbl 1080.35057 Calc. Var. Partial Differ. Equ. 23, No. 2, 169-192 (2005). Reviewer: Massimo Lanza de Cristoforis (Padova) MSC: 35P30 35J70 49R50 35P15 PDF BibTeX XML Cite \textit{P. Juutinen} and \textit{P. Lindqvist}, Calc. Var. Partial Differ. Equ. 23, No. 2, 169--192 (2005; Zbl 1080.35057) Full Text: DOI
Bañuelos, Rodrigo; Kulczycki, Tadeusz The Cauchy process and the Steklov problem. (English) Zbl 1055.60072 J. Funct. Anal. 211, No. 2, 355-423 (2004). Reviewer: Eckhard Giere (Clausthal-Zellerfeld) MSC: 60J45 60G52 PDF BibTeX XML Cite \textit{R. Bañuelos} and \textit{T. Kulczycki}, J. Funct. Anal. 211, No. 2, 355--423 (2004; Zbl 1055.60072) Full Text: DOI
Hoffmann-Ostenhof, M.; Hoffmann-Ostenhof, T.; Nadirashvili, N. The nodal line of the second eigenfunction of the Laplacian in \(\mathbb{R}^2\) can be closed. (English) Zbl 0956.35027 Duke Math. J. 90, No. 3, 631-640 (1997). MSC: 35J05 35B05 35P99 35B30 PDF BibTeX XML Cite \textit{M. Hoffmann-Ostenhof} et al., Duke Math. J. 90, No. 3, 631--640 (1997; Zbl 0956.35027) Full Text: DOI
Chamberland, Marc; Siegel, David Convex domains with stationary hot spots. (English) Zbl 0913.35053 Math. Methods Appl. Sci. 20, No. 14, 1163-1169 (1997). Reviewer: V.Ferone (Napoli) MSC: 35K05 35B05 58J70 PDF BibTeX XML Cite \textit{M. Chamberland} and \textit{D. Siegel}, Math. Methods Appl. Sci. 20, No. 14, 1163--1169 (1997; Zbl 0913.35053) Full Text: DOI