Found 157 Documents (Results 1–100)
On the nodal set of solutions to some sublinear equations without homogeneity. (English) Zbl 1540.35221
Nodal solutions for logarithmic weighted \(N\)-Laplacian problem with exponential nonlinearities. (English) Zbl 1532.35236
Intrinsic volumes of sublevel sets. (Volumes intrinsèques des ensembles de sous-niveau.) (English. French summary) Zbl 07915628
Upper bounds on the size of nodal sets for Gevrey and quasianalytic Riemannian manifolds. (English) Zbl 1531.35140
Generic transversality of heteroclinic and homoclinic orbits for scalar parabolic equations. (English) Zbl 1501.35244
Variance linearity for real Gaussian zeros. (English. French summary) Zbl 1503.60043
The sharp upper bound for the area of the nodal sets of Dirichlet Laplace eigenfunctions. (English) Zbl 1486.35011
Russo-Seymour-Welsh estimates for the Kostlan ensemble of random polynomials. (English) Zbl 1483.30028
Nodal sets for broken quasilinear partial differential equations with Dini coefficients. (English) Zbl 1480.35217
Level set topology optimization with nodally integrated reproducing kernel particle method. (English) Zbl 1502.74085
Low-frequency electromagnetic fields and finite element method. (English) Zbl 1469.78029
Cheng, Zhiguang (ed.) et al., Modeling and application of electromagnetic and thermal field in electrical engineering. Beijing: Science Press; Singapore: Springer. 21-49 (2020).
Points on nodal lines with given direction. (English) Zbl 1472.58020
Reviewer: Isamu Dôku (Saitama)
Blow-up analysis for nodal radial solutions in Moser-Trudinger critical equations in \(\mathbb{R}^2\). (English) Zbl 1467.35180
Reviewer: Giovanni Anello (Messina)
Random eigenfunctions on flat tori: universality for the number of intersections. (English) Zbl 1462.53031
On the nodal set of solutions to degenerate or singular elliptic equations with an application to \(s\)-harmonic functions. (English. French summary) Zbl 1471.35151
Reviewer: Leszek Gasiński (Kraków)
Smoothness and monotonicity of the excursion set density of planar Gaussian fields. (English) Zbl 1455.60069
Transport and interface: an uncertainty principle for the Wasserstein distance. (English) Zbl 1442.28005
New asymptotics for the mean number of zeros of random trigonometric polynomials with strongly dependent Gaussian coefficients. (English) Zbl 1445.60052
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).
Nodal intersections for arithmetic random waves against a surface. (English) Zbl 1441.58009
Reviewer: Utkir A. Rozikov (Tashkent)
Log-scale equidistribution of nodal sets in Grauert tubes. (English. French summary) Zbl 1422.58006
Reviewer: Peter B. Gilkey (Eugene)
The nodal set of solutions to some elliptic problems: singular nonlinearities. (English. French summary) Zbl 1422.35083
Concentration of eigenfunctions of the Laplacian on a closed Riemannian manifold. (English) Zbl 1423.53047
Reviewer: Peter B. Gilkey (Eugene)
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); corrigendum ibid. 507, No. 1, Article ID 125756, 2 p. (2022).
Nodal lengths of eigenfunctions in the disc. (English) Zbl 1409.58022
Reviewer: Emilio A. Lauret (Córdoba)
From Heisenberg uniqueness pairs to properties of the Helmholtz and Laplace equations. (English) Zbl 1400.35046
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)
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)
On the nodal set of a second Dirichlet eigenfunction in a doubly connected domain. (English. French summary) Zbl 1426.35173
Reviewer: Davide Buoso (Lausanne)
Nodal sets of smooth functions with finite vanishing order and \(p\)-sweepouts. (English) Zbl 1401.35228
Reviewer: Dumitru Motreanu (Juiz de Fora)
MSC:
35P20
Nodal statistics on quantum graphs. (English) Zbl 1406.81037
Reviewer: Jonathan Rohleder (Stockholm)
Bounds on multiplicities of Laplace operator eigenvalues on surfaces. (English) Zbl 1397.58018
Reviewer: Laurent Guillopé (Nantes)
An estimate on the nodal set of eigenspinors on closed surfaces. (English) Zbl 1390.53047
Reviewer: Peter B. Gilkey (Eugene)
Ruled nodal surfaces of Laplace eigenfunctions and injectivity sets for the spherical mean Radon transform in \(\mathbb{R}^3\). (English) Zbl 1408.35102
Reviewer: James Bernard Kennedy (Lisboa)
Inverse transmission eigenvalue problems with the twin-dense nodal subset. (English) Zbl 1368.34029
Reviewer: Chuan-Fu Yang (Nanjing)
On the nodal lines of Eisenstein series on Schottky surfaces. (English) Zbl 1382.58024
Reviewer: Emilio A. Lauret (Córdoba)
Laplace operators with eigenfunctions whose nodal set is a knot. (English) Zbl 1357.58030
Reviewer: Lizhen Ji (Ann Arbor)
MSC:
58J50
57M25
Nodal solutions for the Choquard equation. (English) Zbl 1345.35046
Reviewer: Leszek Gasiński (Kraków)
Singularities of the nodal set of segregated configurations. (English) Zbl 1341.35044
Reviewer: Christos Sourdis (Torino)
Conformally covariant operators and conformal invariants on weighted graphs. (English) Zbl 1307.05095
Equilibria with a nontrivial nodal set and the dynamics of parabolic equations on symmetric domains. (English) Zbl 1328.35109
Reviewer: Antonio Greco (Cagliari)
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)
A two end family of solutions for the inhomogeneous Allen-Cahn equation in \(\mathbb R^2\). (English) Zbl 1320.35030
Conformal invariants from nodal sets. I: Negative eigenvalues and curvature prescription. With an appendix by Rod Gover and Andrea Malchiodi. (English) Zbl 1321.58022
Reviewer: Hans-Bert Rademacher (Leipzig)
A gradient estimate for harmonic functions sharing the same zeros. (English) Zbl 1295.31006
MSC:
31A05
Nodal sets and horizontal singular sets of \(\mathbb{H}\)-harmonic functions on the Heisenberg group. (English) Zbl 1307.35309
Reviewer: Nathaniel Eldredge (Greeley)
Nonnegative solutions with a nontrivial nodal set for elliptic equations on smooth symmetric domains. (English) Zbl 1286.35109
On the multiplicity of nonnegative solutions with a nontrivial nodal set for elliptic equations on symmetric domains. (English) Zbl 1285.35034
Integrated topology optimization with embedded movable holes based on combined description by material density and level sets. (English) Zbl 1297.74092
On the multiplicity of nodal solutions of a prescribed mean curvature problem. (English) Zbl 1281.35054
Reviewer: Leszek Gasiński (Kraków)
The effect of curvature on convexity properties of harmonic functions and eigenfunctions. (English) Zbl 1316.35220
Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)
On the nodal count statistics for separable systems in any dimension. (English) Zbl 1290.35165
Reviewer: Javier de Lucas (Warszawa)
Lower bounds for nodal sets of Dirichlet and Neumann eigenfunctions. (English) Zbl 1262.58020
Reviewer: Volker Branding (Wien)
A physically meaningful level set method for topology optimization of structures. (English) Zbl 1356.74164
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).
Critical sets of eigenfunctions of the Laplacian. (English) Zbl 1252.58018
Reviewer: Laurent Guillopé (Nantes)
Dividing sets as nodal sets of an eigenfunction of the Laplacian. (English) Zbl 1228.57010
Reviewer: Haruo S. Suzuki (Sapporo)
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).
Multi-bump nodal solutions for an indefinite non-homogeneous elliptic problem. (English) Zbl 1172.35403
Inverse nodal problems. (English) Zbl 1166.58014
Reviewer: Peter B. Gilkey (Eugene)
MSC:
58J50
Quadrature rules for triangular and tetrahedral elements with generalized functions. (English) Zbl 1167.74043
A global curvature Pinching result of the first eigenvalue of Laplacian. (Chinese. English summary) Zbl 1164.58008
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)
Asymptotics and symmetries of least energy nodal solutions of Lane-Emden problems with slow growth. (English) Zbl 1156.35037
Location of the nodal set for thin curved tubes. (English) Zbl 1187.35142
Reviewer: Themistocles M. Rassias (Athens)
The Leray measure of nodal sets for random eigenfunctions on the torus. (English) Zbl 1153.35058
Reviewer: Feng-Yu Wang (Swansea)
On the volume of nodal sets for eigenfunctions of the Laplacian on the torus. (English) Zbl 1142.60029
Reviewer: Salah Mehdi (Nanterre)
Neumann problem of an elliptic equation with strong resonance. (English) Zbl 1168.35019
Reviewer: Vicenţiu D. Rădulescu (Craiova)
Schrödinger equations with concave and convex nonlinearities. (English) Zbl 1113.35071
Reviewer: Messoud A. Efendiev (Berlin)
A note on common zeroes of Laplace-Beltrami eigenfunctions. (English) Zbl 1067.58024
Reviewer: Ilka Agricola (Berlin)
MSC:
58J50
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