# zbMATH — the first resource for mathematics

Compute Distance To:
 Documents Indexed: 137 Publications since 1978, including 1 Book Biographic References: 1 Publication
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#### Co-Authors

 45 single-authored 17 Hamel, François 14 Vlǎduţ, Sergei Georgievich 12 Hansen, Wolfhard 12 Hoffmann-Ostenhof, Thomas 10 Hoffmann-Ostenhof, Maria 7 Jakobson, Dmitry 6 Sire, Yannick 5 Russ, Emmanuel 4 Berestycki, Henri 4 Grigor’yan, Alexander Asaturovich 4 Polterovich, Iosif 2 Helffer, Bernard 2 Kenig, Carlos Eduardo 2 Kuksin, Sergeĭ B. 2 Landis, Evgenii Mikhailovich 2 Levitin, Michael R. 2 Martín, Francisco 2 Tkachev, Vladimir G. 2 Yuan, Yu 1 Alarcón, Antonio 1 Andrievskij, V. P. 1 Ball, John M. 1 Chruściel, Piotr Tadeusz 1 Eremenko, Alexandre Émmanuilovich 1 Friedlander, Leonid 1 Gerver, M. L. 1 Girouard, Alexandre 1 Gusein-Zade, Sabir M. 1 Han, Qing 1 Hardt, Robert M. 1 Ilyashenko, Yulij Sergeevich 1 Jerison, David S. 1 Koch, Gabriel S. 1 Kokarev, Gerasim 1 Lando, Sergei K. 1 Manin, Yuri Ivanovich 1 Meeks, William Hamilton III 1 Michor, Peter Wolfram 1 Nigam, Nilima 1 Nogin, Dmitry Yu. 1 Penskoi, Alexei V. 1 Piatnitski, Andrey L. 1 Rybakov, Sergey Yu. 1 Seregin, Gregory A. 1 Sharafutdinov, Vladimir A. 1 Sosinskiĭ, Alekseĭ Bronislavovich 1 Šverák, Vladimír 1 Toth, John Andrew 1 Varkentina, Nadezda 1 Yu, Yuan 1 Zykin, A. I.
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#### Serials

 7 Archive for Rational Mechanics and Analysis 7 Geometric and Functional Analysis. GAFA 6 Journal of Differential Geometry 6 Moscow Mathematical Journal 5 Russian Mathematical Surveys 5 Soviet Mathematics. Doklady 5 Mathematics of the USSR, Sbornik 4 Communications on Pure and Applied Mathematics 3 Annales de l’Institut Fourier 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Acta Mathematica 2 Advances in Mathematics 2 American Journal of Mathematics 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 2 Functional Analysis and its Applications 2 Matematicheskiĭ Sbornik. Novaya Seriya 2 Mathematische Annalen 2 Mathematics of the USSR. Izvestiya 2 Mathematische Zeitschrift 2 Journal of the American Mathematical Society 2 IMRN. International Mathematics Research Notices 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Potential Analysis 2 Calculus of Variations and Partial Differential Equations 1 Applicable Analysis 1 Classical and Quantum Gravity 1 Communications in Mathematical Physics 1 Dinamika Sploshnoĭ Sredy 1 Inverse Problems 1 Izvestiya Vysshikh Uchebnykh Zavedeniĭ, Matematika 1 Journal d’Analyse Mathématique 1 Mathematical Notes 1 Matematicheskie Zametki 1 Moscow University Mathematics Bulletin 1 Uspekhi Matematicheskikh Nauk [N. S.] 1 Theory of Probability and its Applications 1 Canadian Journal of Mathematics 1 Duke Mathematical Journal 1 Indiana University Mathematics Journal 1 Inventiones Mathematicae 1 Journal of Computational and Applied Mathematics 1 Journal of Functional Analysis 1 Journal of the London Mathematical Society. Second Series 1 Journal für die Reine und Angewandte Mathematik 1 Proceedings of the American Mathematical Society 1 Soobshcheniya Akademii Nauk Gruzinskoĭ SSR 1 Soviet Mathematics 1 Chinese Annals of Mathematics. Series B 1 Annals of Global Analysis and Geometry 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Communications in Partial Differential Equations 1 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Expositiones Mathematicae 1 Communications in Analysis and Geometry 1 Physics-Doklady 1 Journées Équations aux Dérivées Partielles (Saint-Jean-de-Monts) 1 Mathematical Research Letters 1 Discrete and Continuous Dynamical Systems 1 Doklady Mathematics 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 The Asian Journal of Mathematics 1 Annals of Mathematics. Second Series 1 Journal of the European Mathematical Society (JEMS) 1 Mathematical Surveys and Monographs 1 Arnold Mathematical Journal 1 Séminaire Laurent Schwartz. EDP et Applications
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#### Fields

 99 Partial differential equations (35-XX) 24 Global analysis, analysis on manifolds (58-XX) 20 Potential theory (31-XX) 19 Differential geometry (53-XX) 8 Probability theory and stochastic processes (60-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 6 Functions of a complex variable (30-XX) 5 Mechanics of deformable solids (74-XX) 5 Fluid mechanics (76-XX) 4 Dynamical systems and ergodic theory (37-XX) 2 Ordinary differential equations (34-XX) 2 Operator theory (47-XX) 2 Convex and discrete geometry (52-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Nonassociative rings and algebras (17-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX)

#### Citations contained in zbMATH

111 Publications have been cited 1,361 times in 935 Documents Cited by Year
The speed of propagation for KPP type problems. I: Periodic framework. Zbl 1142.35464
Berestycki, Henri; Hamel, François; Nadirashvili, Nikolai
2005
Travelling fronts and entire solutions of the Fisher-KPP equation in $${\mathbb R}^N$$. Zbl 0987.35072
2001
Liouville theorems for the Navier-Stokes equations and applications. Zbl 1208.35104
2009
Entire solutions of the KPP equation. Zbl 0932.35113
1999
Elliptic eigenvalue problems with large drift and applications to nonlinear propagation phenomena. Zbl 1123.35033
Berestycki, Henri; Hamel, François; Nadirashvili, Nikolai
2005
The speed of propagation for KPP type problems. II: General domains. Zbl 1197.35073
Berestycki, Henri; Hamel, François; Nadirashvili, Nikolai
2010
Hadamard’s and Calabi-Yau’s conjectures on negatively curved and minimal surfaces. Zbl 0881.53053
1996
Berger’s isoperimetric problem and minimal immersions of surfaces. Zbl 0868.58079
1996
Rayleigh’s conjecture on the principal frequency of the clamped plate. Zbl 0826.73035
1995
Nonclassical solutions of fully nonlinear elliptic equations. Zbl 1132.35036
2007
The “hot spots” conjecture for domains with two axes of symmetry. Zbl 0948.35029
2000
Nonuniqueness in the martingale problem and the Dirichlet problem for uniformly elliptic operators. Zbl 0907.35039
1997
How large can the first eigenvalue be on a surface of genus two? Zbl 1114.58026
Jakobson, Dmitry; Levitin, Michael; Nadirashvili, Nikolai; Nigam, Nilima; Polterovich, Iosif
2005
Extremal metric for the first eigenvalue on a Klein bottle. Zbl 1104.58008
Jakobson, Dmitry; Nadirashvili, Nikolai; Polterovich, Iosif
2006
Critical sets of solutions to elliptic equations. Zbl 1144.35370
Hardt, R.; Hoffmann-Ostenhof, M.; Hoffmann-Ostenhof, T.; Nadirashvili, N.
1999
Singular viscosity solutions to fully nonlinear elliptic equations. Zbl 1133.35049
2008
Maximization of the second positive Neumann eigenvalue for planar domains. Zbl 1186.35120
Girouard, Alexandre; Nadirashvili, Nikolai; Polterovich, Iosif
2009
Isoperimetric inequality for the second eigenvalue of a sphere. Zbl 1071.58024
2002
Geometric properties of eigenfunctions. Zbl 1060.58019
Jakobson, D.; Nadirashvili, N.; Toth, J.
2001
A converse to the mean value theorem for harmonic functions. Zbl 0808.31004
1993
A non-classical solution to a Hessian equation from Cartan isoparametric cubic. Zbl 1257.35092
2012
Singular solutions of Hessian fully nonlinear elliptic equations. Zbl 1226.35027
2011
Octonions and singular solutions of Hessian elliptic equations. Zbl 1216.35041
2011
Spectral problems with mixed Dirichlet-Neumann boundary conditions: isospectrality and beyond. Zbl 1121.58027
Jakobson, Dmitry; Levitin, Michael; Nadirashvili, Nikolai; Polterovich, Iosif
2006
A counterexample in unique continuation. Zbl 0973.35064
2000
The nodal line of the second eigenfunction of the Laplacian in $$\mathbb{R}^2$$ can be closed. Zbl 0956.35027
Hoffmann-Ostenhof, M.; Hoffmann-Ostenhof, T.; Nadirashvili, N.
1997
Universal singular sets for one-dimensional variational problems. Zbl 0896.49022
Ball, J. M.; Nadirashvili, N. S.
1993
Wandering solutions of Euler’s D-2 equation. Zbl 0769.35048
1991
Nonlinear elliptic equations and nonassociative algebras. Zbl 1357.35002
2014
Liouville theorem for Beltrami flow. Zbl 1294.35080
2014
Rearrangement inequalities and applications to isoperimetric problems for eigenvalues. Zbl 1234.35161
Hamel, François; Nadirashvili, Nikolai; Russ, Emmanuel
2011
A Jordan curve spanned by a complete minimal surface. Zbl 1114.49039
2007
On nodal sets and nodal domains on $$S^2$$ and $$\mathbb R^2$$. Zbl 1178.58012
Eremenko, Alexandre; Jakobson, Dmitry; Nadirashvili, Nikolai
2007
Bounds on the multiplicity of eigenvalues for fixed membranes. Zbl 0949.35102
Hoffmann-Ostenhof, T.; Michor, P. W.; Nadirashvili, N.
1999
Isoperimetric inequalities in potential theory. Zbl 0796.31003
1994
On the question of the uniqueness of the solution of the second boundary value problem for second order elliptic equations. Zbl 0563.35026
1985
Convexity of level sets for elliptic problems in convex domains or convex rings: two counterexamples. Zbl 1341.35064
Hamel, François; Nadirashvili, Nikolai; Sire, Yannick
2016
Conformal spectrum and harmonic maps. Zbl 1354.58027
2015
Bounded domains which are universal for minimal surfaces. Zbl 1119.53007
Martín, Francisco; Meeks, William H. III; Nadirashvili, Nikolai
2007
An isoperimetric inequality for the principal eigenvalue of the Laplacian with drift. Zbl 1066.35066
Hamel, François; Nadirashvili, Nikolai; Russ, Emmanuel
2005
A differential invariant related to the first eigenvalue of the Laplacian. Zbl 0941.58019
1999
Isoperimetric inequalities in potential theory. Zbl 0825.31003
1994
Littlewood’s one circle problem. Zbl 0804.31001
1994
Mean values and harmonic functions. Zbl 0794.31002
1993
Multiple eigenvalues of the Laplace operator. Zbl 0672.35049
1988
On stationary solutions of two-dimensional Euler equation. Zbl 1287.35062
2013
Hölder estimates for solutions of parabolic SPDEs. Zbl 1038.60058
Kuksin, S. B.; Nadirashvili, N. S.; Pyatnitskij, A. L.
2002
Conformal maps and isoperimetric inequalities for eigenvalues of the Neumann problem. Zbl 0890.35097
1997
Critical sets of smooth solutions to elliptic equations in dimension 3. Zbl 0857.35008
Hoffmann-Ostenhof, M.; Hoffmann-Ostenhof, T.; Nadirashvili, N.
1996
Liouville’s theorem and the restricted mean value property. Zbl 0869.31004
1995
New isoperimetric inequalities in mathematical physics. Zbl 0814.35083
1994
An isoperimetric inequality for the second non-zero eigenvalue of the Laplacian on the projective plane. Zbl 1400.58010
Nadirashvili, Nikolai S.; Penskoi, Alexei V.
2018
Isoperimetric inequality for the third eigenvalue of the Laplace-Beltrami operator on $$\mathbb{S}^2$$. Zbl 1385.53027
2017
Negative eigenvalues of two-dimensional Schrödinger operators. Zbl 1319.35128
2015
Limit sets for complete minimal immersions. Zbl 1167.53007
2008
Linearity of homogeneous order-one solutions to elliptic equations in dimension three. Zbl 1236.35025
Han, Qing; Nadirashvili, Nikolai; Yu, Yuan
2003
Eigenfunctions with few critical points. Zbl 1038.58036
1999
Interior Hölder estimates for solutions of Schrödinger equations and the regularity of nodal sets. Zbl 0846.35036
Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas; Nadirashvili, N.
1995
Singular solutions of Hessian elliptic equations in five dimensions. Zbl 1283.35040
2013
An application of potential analysis to minimal surfaces. Zbl 1011.53008
2001
On the multiplicity of eigenvalues of the Laplacian on surfaces. Zbl 0923.35109
Hoffmann-Ostenhof, M.; Hoffmann-Ostenhof, T.; Nadirashvili, N.
1999
Metric properties of eigenfunctions of the Laplace operator on manifolds. Zbl 0726.58050
1991
Some estimates in a problem with oblique derivative. Zbl 0699.35061
1988
Liouville theorems and external boundary value problems. Zbl 0639.58029
Grigor’yan, A. A.; Nadirashvili, N. S.
1987
A lemma on the inner derivative, and the uniqueness of the solution of the second boundary value problem for second order elliptic equations. Zbl 0509.35023
1981
Singular solution to special Lagrangian equations. Zbl 1200.35123
2010
On the nodal line conjecture. Zbl 0895.35068
Hoffmann-Ostenhof, M.; Hoffmann-Ostenhof, T.; Nadirashvili, N.
1998
On a problem with oblique derivative. Zbl 0598.35038
1986
A theorem of Liouville type on a Riemannian manifold. Zbl 0602.31007
1985
A condition for isometry of Riemannian metrics in the disc. Zbl 0633.53066
Gerver, M. L.; Nadirashvili, N. S.
1984
A lower bound for the number of negative eigenvalues of Schrödinger operators. Zbl 1356.53044
Grigor’yan, Alexander; Nadirashvili, Nikolai; Sire, Yannick
2016
Maximization of higher order eigenvalues and applications. Zbl 1335.35167
2015
On axially symmetric solutions of fully nonlinear elliptic equations. Zbl 1244.35055
2012
On first Neumann eigenvalue bounds for conformal metrics. Zbl 1187.58030
2010
Extinction versus persistence in strong oscillating flows. Zbl 1186.35161
2010
Improving Pogorelov’s isometric embedding counterexample. Zbl 1147.53017
2008
Homogeneous solutions to fully nonlinear elliptic equations. Zbl 1156.35368
2006
Propagation speed for reaction-diffusion equations in general domains. Zbl 1049.35100
Berestycki, Henri; Hamel, François; Nadirashvili, Nikolai
2004
Harmonic functions and averages on shells. Zbl 0991.31006
2001
Geometry of nodal sets and multiplicity of eigenvalues (with an appendix by S.-T. Yau). Zbl 1384.58022
1999
Restricted mean value property on $$\mathbb{R}^ d, d\leq 2$$. Zbl 0847.31001
1995
All electrovacuum Majumdar-Papapetrou spacetimes with non-singular black holes. Zbl 0821.53058
Chruściel, Piotr T.; Nadirashvili, Nikolai S.
1995
On the dynamics of nonlinear parabolic equations. Zbl 0717.35007
1990
On the length of the nodal curve of an eigenfunction of the Laplace operator. Zbl 0683.35021
1988
Uniqueness and stability of extension of solution of an elliptic equation from a set to a domain. Zbl 0657.35045
1986
Positive solutions of second order elliptic equations in unbounded domains. Zbl 0621.35038
Landis, E. M.; Nadirashvili, N. S.
1986
On the multiplicity of the eigenvalues of the Neumann problem. Zbl 0613.35052
1986
Estimating solutions of elliptic equations with analytic coefficients bounded on some set. Zbl 0433.35006
1979
Integral geometry of Euler equations. Zbl 1444.35126
2017
The John equation for tensor tomography in three-dimensions. Zbl 1361.53060
2016
Homogeneous solutions of fully nonlinear elliptic equations in four dimensions. Zbl 1284.35178
2013
On derivatives of viscosity solutions to fully nonlinear elliptic equations. Zbl 1229.35073
2011
Periodic Schrödinger operators and Aharonov-Bohm Hamiltonians. Zbl 1043.35057
Helffer, B.; Hoffmann-Ostenhof, T.; Nadirashvili, N.
2003
On optimal estimates for some oblique derivative problems. Zbl 1211.35058
Kenig, Carlos E.; Nadirashvili, Nikolai S.
2001
On Veech’s conjecture for harmonic functions. Zbl 0846.31003
1995
Isoperiodic inequality for the fundamental frequency of a clamped plate. Zbl 0816.73027
1993
Isoperimetric inequalities for capacities in the plane. Zbl 0739.31001
Andrievskij, V.; Hansen, W.; Nadirashvili, N.
1992
Harmonic functions with a given set of singularities. Zbl 0667.31009
1988
Some differentiability properties of solutions of elliptic equations with measurable coefficients. Zbl 0614.35023
1986
Positive solutions of second order elliptic equations in unbounded domains. Zbl 0583.35035
Landis, E. M.; Nadirashvili, N. S.
1985
An isoperimetric inequality for the second non-zero eigenvalue of the Laplacian on the projective plane. Zbl 1400.58010
Nadirashvili, Nikolai S.; Penskoi, Alexei V.
2018
Isoperimetric inequality for the third eigenvalue of the Laplace-Beltrami operator on $$\mathbb{S}^2$$. Zbl 1385.53027
2017
Integral geometry of Euler equations. Zbl 1444.35126
2017
Singular solutions to conformal Hessian equations. Zbl 1371.35097
2017
Shear flows of an ideal fluid and elliptic equations in unbounded domains. Zbl 1360.35155
2017
Convexity of level sets for elliptic problems in convex domains or convex rings: two counterexamples. Zbl 1341.35064
Hamel, François; Nadirashvili, Nikolai; Sire, Yannick
2016
A lower bound for the number of negative eigenvalues of Schrödinger operators. Zbl 1356.53044
Grigor’yan, Alexander; Nadirashvili, Nikolai; Sire, Yannick
2016
The John equation for tensor tomography in three-dimensions. Zbl 1361.53060
2016
Conformal spectrum and harmonic maps. Zbl 1354.58027
2015
Negative eigenvalues of two-dimensional Schrödinger operators. Zbl 1319.35128
2015
Maximization of higher order eigenvalues and applications. Zbl 1335.35167
2015
Nonlinear elliptic equations and nonassociative algebras. Zbl 1357.35002
2014
Liouville theorem for Beltrami flow. Zbl 1294.35080
2014
Analyticity of solutions for quasilinear wave equations and other quasilinear systems. Zbl 1330.35261
2014
On stationary solutions of two-dimensional Euler equation. Zbl 1287.35062
2013
Singular solutions of Hessian elliptic equations in five dimensions. Zbl 1283.35040
2013
Homogeneous solutions of fully nonlinear elliptic equations in four dimensions. Zbl 1284.35178
2013
A non-classical solution to a Hessian equation from Cartan isoparametric cubic. Zbl 1257.35092
2012
On axially symmetric solutions of fully nonlinear elliptic equations. Zbl 1244.35055
2012
Singular solutions of Hessian fully nonlinear elliptic equations. Zbl 1226.35027
2011
Octonions and singular solutions of Hessian elliptic equations. Zbl 1216.35041
2011
Rearrangement inequalities and applications to isoperimetric problems for eigenvalues. Zbl 1234.35161
Hamel, François; Nadirashvili, Nikolai; Russ, Emmanuel
2011
On derivatives of viscosity solutions to fully nonlinear elliptic equations. Zbl 1229.35073
2011
The speed of propagation for KPP type problems. II: General domains. Zbl 1197.35073
Berestycki, Henri; Hamel, François; Nadirashvili, Nikolai
2010
Singular solution to special Lagrangian equations. Zbl 1200.35123
2010
On first Neumann eigenvalue bounds for conformal metrics. Zbl 1187.58030
2010
Extinction versus persistence in strong oscillating flows. Zbl 1186.35161
2010
Liouville theorems for the Navier-Stokes equations and applications. Zbl 1208.35104
2009
Maximization of the second positive Neumann eigenvalue for planar domains. Zbl 1186.35120
Girouard, Alexandre; Nadirashvili, Nikolai; Polterovich, Iosif
2009
Singular viscosity solutions to fully nonlinear elliptic equations. Zbl 1133.35049
2008
Limit sets for complete minimal immersions. Zbl 1167.53007
2008
Improving Pogorelov’s isometric embedding counterexample. Zbl 1147.53017
2008
Nonclassical solutions of fully nonlinear elliptic equations. Zbl 1132.35036
2007
A Jordan curve spanned by a complete minimal surface. Zbl 1114.49039
2007
On nodal sets and nodal domains on $$S^2$$ and $$\mathbb R^2$$. Zbl 1178.58012
Eremenko, Alexandre; Jakobson, Dmitry; Nadirashvili, Nikolai
2007
Bounded domains which are universal for minimal surfaces. Zbl 1119.53007
Martín, Francisco; Meeks, William H. III; Nadirashvili, Nikolai
2007
Comparisons of eigenvalues of second order elliptic operators. Zbl 1163.35445
Hamel, F.; Nadirashvili, N.; Russ, E.
2007
Extremal metric for the first eigenvalue on a Klein bottle. Zbl 1104.58008
Jakobson, Dmitry; Nadirashvili, Nikolai; Polterovich, Iosif
2006
Spectral problems with mixed Dirichlet-Neumann boundary conditions: isospectrality and beyond. Zbl 1121.58027
Jakobson, Dmitry; Levitin, Michael; Nadirashvili, Nikolai; Polterovich, Iosif
2006
Homogeneous solutions to fully nonlinear elliptic equations. Zbl 1156.35368
2006
The speed of propagation for KPP type problems. I: Periodic framework. Zbl 1142.35464
Berestycki, Henri; Hamel, François; Nadirashvili, Nikolai
2005
Elliptic eigenvalue problems with large drift and applications to nonlinear propagation phenomena. Zbl 1123.35033
Berestycki, Henri; Hamel, François; Nadirashvili, Nikolai
2005
How large can the first eigenvalue be on a surface of genus two? Zbl 1114.58026
Jakobson, Dmitry; Levitin, Michael; Nadirashvili, Nikolai; Nigam, Nilima; Polterovich, Iosif
2005
An isoperimetric inequality for the principal eigenvalue of the Laplacian with drift. Zbl 1066.35066
Hamel, François; Nadirashvili, Nikolai; Russ, Emmanuel
2005
Propagation speed for reaction-diffusion equations in general domains. Zbl 1049.35100
Berestycki, Henri; Hamel, François; Nadirashvili, Nikolai
2004
Linearity of homogeneous order-one solutions to elliptic equations in dimension three. Zbl 1236.35025
Han, Qing; Nadirashvili, Nikolai; Yu, Yuan
2003
Periodic Schrödinger operators and Aharonov-Bohm Hamiltonians. Zbl 1043.35057
Helffer, B.; Hoffmann-Ostenhof, T.; Nadirashvili, N.
2003
Isoperimetric inequality for the second eigenvalue of a sphere. Zbl 1071.58024
2002
Hölder estimates for solutions of parabolic SPDEs. Zbl 1038.60058
Kuksin, S. B.; Nadirashvili, N. S.; Pyatnitskij, A. L.
2002
Spectral theory for the dihedral group. Zbl 1029.47026
Helffer, B.; Hoffmann-Ostenhof, M.; Hoffmann-Ostenhof, T.; Nadirashvili, N.
2002
Travelling fronts and entire solutions of the Fisher-KPP equation in $${\mathbb R}^N$$. Zbl 0987.35072
2001
Geometric properties of eigenfunctions. Zbl 1060.58019
Jakobson, D.; Nadirashvili, N.; Toth, J.
2001
An application of potential analysis to minimal surfaces. Zbl 1011.53008
2001
Harmonic functions and averages on shells. Zbl 0991.31006
2001
On optimal estimates for some oblique derivative problems. Zbl 1211.35058
Kenig, Carlos E.; Nadirashvili, Nikolai S.
2001
The “hot spots” conjecture for domains with two axes of symmetry. Zbl 0948.35029
2000
A counterexample in unique continuation. Zbl 0973.35064
2000
Entire solutions of the KPP equation. Zbl 0932.35113
1999
Critical sets of solutions to elliptic equations. Zbl 1144.35370
Hardt, R.; Hoffmann-Ostenhof, M.; Hoffmann-Ostenhof, T.; Nadirashvili, N.
1999
Bounds on the multiplicity of eigenvalues for fixed membranes. Zbl 0949.35102
Hoffmann-Ostenhof, T.; Michor, P. W.; Nadirashvili, N.
1999
A differential invariant related to the first eigenvalue of the Laplacian. Zbl 0941.58019
1999
Eigenfunctions with few critical points. Zbl 1038.58036
1999
On the multiplicity of eigenvalues of the Laplacian on surfaces. Zbl 0923.35109
Hoffmann-Ostenhof, M.; Hoffmann-Ostenhof, T.; Nadirashvili, N.
1999
Geometry of nodal sets and multiplicity of eigenvalues (with an appendix by S.-T. Yau). Zbl 1384.58022
1999
Harmonic functions with bounded number of nodal domains. Zbl 1015.31001
1999
On the nodal line conjecture. Zbl 0895.35068
Hoffmann-Ostenhof, M.; Hoffmann-Ostenhof, T.; Nadirashvili, N.
1998
Connecting orbits for nonlinear parabolic equations. Zbl 0926.35063
1998
Nonuniqueness in the martingale problem and the Dirichlet problem for uniformly elliptic operators. Zbl 0907.35039
1997
The nodal line of the second eigenfunction of the Laplacian in $$\mathbb{R}^2$$ can be closed. Zbl 0956.35027
Hoffmann-Ostenhof, M.; Hoffmann-Ostenhof, T.; Nadirashvili, N.
1997
Conformal maps and isoperimetric inequalities for eigenvalues of the Neumann problem. Zbl 0890.35097
1997
Hadamard’s and Calabi-Yau’s conjectures on negatively curved and minimal surfaces. Zbl 0881.53053
1996
Berger’s isoperimetric problem and minimal immersions of surfaces. Zbl 0868.58079
1996
Critical sets of smooth solutions to elliptic equations in dimension 3. Zbl 0857.35008
Hoffmann-Ostenhof, M.; Hoffmann-Ostenhof, T.; Nadirashvili, N.
1996
Restricted mean value property for positive functions. Zbl 0837.31001
1996
Rayleigh’s conjecture on the principal frequency of the clamped plate. Zbl 0826.73035
1995
Liouville’s theorem and the restricted mean value property. Zbl 0869.31004
1995
Interior Hölder estimates for solutions of Schrödinger equations and the regularity of nodal sets. Zbl 0846.35036
Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas; Nadirashvili, N.
1995
Restricted mean value property on $$\mathbb{R}^ d, d\leq 2$$. Zbl 0847.31001
1995
All electrovacuum Majumdar-Papapetrou spacetimes with non-singular black holes. Zbl 0821.53058
Chruściel, Piotr T.; Nadirashvili, Nikolai S.
1995
On Veech’s conjecture for harmonic functions. Zbl 0846.31003
1995
Isoperimetric inequalities in potential theory. Zbl 0796.31003
1994
Isoperimetric inequalities in potential theory. Zbl 0825.31003
1994
Littlewood’s one circle problem. Zbl 0804.31001
1994
New isoperimetric inequalities in mathematical physics. Zbl 0814.35083
1994
On the restricted mean value property for measurable functions. Zbl 0863.31011
1994
A converse to the mean value theorem for harmonic functions. Zbl 0808.31004
1993
Universal singular sets for one-dimensional variational problems. Zbl 0896.49022
Ball, J. M.; Nadirashvili, N. S.
1993
Mean values and harmonic functions. Zbl 0794.31002
1993
Isoperiodic inequality for the fundamental frequency of a clamped plate. Zbl 0816.73027
1993
Isoperimetric inequalities for capacities in the plane. Zbl 0739.31001
Andrievskij, V.; Hansen, W.; Nadirashvili, N.
1992
Wandering solutions of Euler’s D-2 equation. Zbl 0769.35048
1991
Metric properties of eigenfunctions of the Laplace operator on manifolds. Zbl 0726.58050
1991
On the dynamics of nonlinear parabolic equations. Zbl 0717.35007
1990
Multiple eigenvalues of the Laplace operator. Zbl 0672.35049
1988
Some estimates in a problem with oblique derivative. Zbl 0699.35061
1988
On the length of the nodal curve of an eigenfunction of the Laplace operator. Zbl 0683.35021
1988
Harmonic functions with a given set of singularities. Zbl 0667.31009
1988
Some estimates in a problem with oblique derivative. Zbl 0737.35018
1988
Liouville theorems and external boundary value problems. Zbl 0639.58029
Grigor’yan, A. A.; Nadirashvili, N. S.
1987
Liouville theorems and exterior boundary value problems. Zbl 0665.58040
Grigor’yan, A. A.; Nadirashvili, N. S.
1987
...and 11 more Documents
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#### Cited by 945 Authors

 41 Nadirashvili, Nikolai S. 37 Hamel, François 29 Wang, Zhi Cheng 28 Li, Wan-Tong 19 Shen, Wenxian 18 Berestycki, Henri 17 Alarcón, Antonio 15 Seregin, Gregory A. 15 Wu, Shiliang 13 Zlatoš, Andrej 12 Peralta-Salas, Daniel 12 Tkachev, Vladimir G. 11 Enciso, Alberto 11 Helffer, Bernard 10 Bu, Zhenhui 10 Hansen, Wolfhard 10 Liang, Xing 10 Lopez Fernandez, Francisco Jose 9 Roquejoffre, Jean-Michel 9 Salako, Rachidi Bolaji 9 Sheng, WeiJie 9 Vlǎduţ, Sergei Georgievich 8 Chae, Dongho 8 Forstnerič, Franc 8 Guo, Jong-Shenq 8 Pan, Xinghong 8 Rossi, Luca 8 Ryzhik, Lenya 8 Siudeja, Bartłomiej Andrzej 7 El Soufi, Ahmad 7 Liu, NaiWei 7 Martín, Francisco 7 Nadin, Grégoire 7 Ninomiya, Hirokazu 7 Bessa, Gregório Pacelli 7 Roques, Lionel J. 7 Russ, Emmanuel 7 Wang, Jiabing 6 Buoso, Davide 6 Freitas, Pedro 6 Hoffmann-Ostenhof, Thomas 6 Hsu, Cheng-Hsiung 6 Ruan, Shigui 6 Sirakov, Boyan Slavchev 6 Teixeira, Eduardo V. O. 6 Zaslavski, Alexander Yakovlevich 6 Zhao, Xiao-Qiang 5 Brasco, Lorenzo 5 Constantin, Peter 5 Du, Yihong 5 Giga, Yoshikazu 5 Jakobson, Dmitry 5 Karpukhin, Mikhail A. 5 Kim, Doyoon 5 Kiselev, Alexander A. 5 Matano, Hiroshi 5 Nazarov, Alexander I. 5 Peng, Rui 5 Polterovich, Iosif 5 Silvestre, Luis E. 5 Šverák, Vladimír 5 Vicol, Vlad C. 5 Wang, Wendong 5 Yi, Taishan 5 Zhang, Qi-Shuhuason 4 Antunes, Pedro Ricardo Simão 4 Barker, Tobias 4 Bedrossian, Jacob 4 Bérard, Pierre H. 4 Burdzy, Krzysztof 4 Chasman, L. Mercredi 4 Colbois, Bruno 4 da Silva, João Vítor 4 Dong, Hongjie 4 Fuchs, Martin 4 Hoffmann-Ostenhof, Maria 4 Karuhanga, Martin 4 Kokarev, Gerasim 4 Krejčiřík, David 4 Kukavica, Igor 4 Laugesen, Richard Snyder 4 Lei, Zhen 4 Liu, Hairong 4 Logunov, Alexander Andreevich 4 Miyamoto, Yasuhito 4 Penskoi, Alexei V. 4 Poláčik, Peter 4 Soler, Juan S. 4 Sun, Yujuan 4 Sychev, Mikhail A. 4 Tian, Long 4 Wu, Changhong 4 Yoneda, Tsuyoshi 4 Zhang, Zhifei 4 Zhou, Maolin 3 Abe, Ken 3 Bao, Xiongxiong 3 Benguria, Rafael D. 3 Brandolini, Barbara 3 Cabré, Xavier ...and 845 more Authors
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#### Cited in 202 Serials

 68 Journal of Differential Equations 29 Archive for Rational Mechanics and Analysis 28 Transactions of the American Mathematical Society 27 Journal of Mathematical Analysis and Applications 27 Journal of Functional Analysis 27 Calculus of Variations and Partial Differential Equations 25 Advances in Mathematics 25 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 22 Proceedings of the American Mathematical Society 21 Discrete and Continuous Dynamical Systems 19 Communications in Mathematical Physics 19 Journal de Mathématiques Pures et Appliquées. Neuvième Série 18 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 15 Mathematische Annalen 15 Communications in Partial Differential Equations 15 Journal of Dynamics and Differential Equations 15 Nonlinear Analysis. Real World Applications 13 Annali di Matematica Pura ed Applicata. Serie Quarta 13 Journal of Mathematical Sciences (New York) 12 Comptes Rendus. Mathématique. Académie des Sciences, Paris 12 Communications on Pure and Applied Analysis 11 Communications on Pure and Applied Mathematics 10 Journal of Mathematical Physics 10 Geometric and Functional Analysis. GAFA 10 Potential Analysis 10 Journal of Mathematical Fluid Mechanics 9 Mathematische Zeitschrift 9 Annals of Global Analysis and Geometry 9 The Journal of Geometric Analysis 9 St. Petersburg Mathematical Journal 8 Siberian Mathematical Journal 7 Mathematical Methods in the Applied Sciences 7 Duke Mathematical Journal 7 Applied Mathematics Letters 7 SIAM Journal on Mathematical Analysis 7 Science China. Mathematics 6 Nonlinearity 6 Differential Geometry and its Applications 6 Annals of Mathematics. Second Series 6 Communications in Contemporary Mathematics 5 Journal of Mathematical Biology 5 Annales de l’Institut Fourier 5 Physica D 5 Journal of the American Mathematical Society 5 Bulletin of the American Mathematical Society. New Series 5 Journal of the European Mathematical Society (JEMS) 5 Discrete and Continuous Dynamical Systems. Series B 4 Journal d’Analyse Mathématique 4 Geometriae Dedicata 4 Inventiones Mathematicae 4 Journal of Algebra 4 Mathematische Nachrichten 4 Memoirs of the American Mathematical Society 4 Proceedings of the London Mathematical Society. Third Series 4 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 4 SIAM Journal on Applied Mathematics 4 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 4 NoDEA. Nonlinear Differential Equations and Applications 4 Acta Mathematica Sinica. English Series 4 Journal of Spectral Theory 4 Bulletin of Mathematical Sciences 3 Applicable Analysis 3 Bulletin of the Australian Mathematical Society 3 Computers & Mathematics with Applications 3 Journal of Geometry and Physics 3 Bulletin of the London Mathematical Society 3 Manuscripta Mathematica 3 Zeitschrift für Analysis und ihre Anwendungen 3 Probability Theory and Related Fields 3 Journal of Scientific Computing 3 Japan Journal of Industrial and Applied Mathematics 3 Stochastic Processes and their Applications 3 Advances in Difference Equations 3 Complex Variables and Elliptic Equations 3 Journal of Topology and Analysis 2 Israel Journal of Mathematics 2 Journal of Statistical Physics 2 Letters in Mathematical Physics 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Bulletin of Mathematical Biology 2 Acta Mathematica 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 2 Applied Mathematics and Computation 2 Canadian Journal of Mathematics 2 Functional Analysis and its Applications 2 Indiana University Mathematics Journal 2 Journal of Combinatorial Theory. Series B 2 Journal of Geometry 2 Journal für die Reine und Angewandte Mathematik 2 Osaka Journal of Mathematics 2 Pacific Journal of Mathematics 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 SIAM Journal on Control and Optimization 2 Tohoku Mathematical Journal. Second Series 2 Acta Mathematicae Applicatae Sinica. English Series 2 European Journal of Applied Mathematics 2 Expositiones Mathematicae 2 Journal of Nonlinear Science 2 Journal of Difference Equations and Applications ...and 102 more Serials
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#### Cited in 48 Fields

 708 Partial differential equations (35-XX) 124 Global analysis, analysis on manifolds (58-XX) 115 Differential geometry (53-XX) 111 Fluid mechanics (76-XX) 92 Biology and other natural sciences (92-XX) 73 Calculus of variations and optimal control; optimization (49-XX) 44 Probability theory and stochastic processes (60-XX) 42 Potential theory (31-XX) 42 Operator theory (47-XX) 41 Dynamical systems and ergodic theory (37-XX) 37 Ordinary differential equations (34-XX) 19 Numerical analysis (65-XX) 19 Quantum theory (81-XX) 17 Integral equations (45-XX) 16 Several complex variables and analytic spaces (32-XX) 15 Functions of a complex variable (30-XX) 15 Mechanics of deformable solids (74-XX) 12 Functional analysis (46-XX) 10 Nonassociative rings and algebras (17-XX) 10 Real functions (26-XX) 10 Measure and integration (28-XX) 9 Difference and functional equations (39-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 7 Classical thermodynamics, heat transfer (80-XX) 6 Special functions (33-XX) 6 Manifolds and cell complexes (57-XX) 6 Statistical mechanics, structure of matter (82-XX) 6 Operations research, mathematical programming (90-XX) 5 Algebraic geometry (14-XX) 5 Systems theory; control (93-XX) 4 Number theory (11-XX) 4 General topology (54-XX) 4 Relativity and gravitational theory (83-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Combinatorics (05-XX) 3 Convex and discrete geometry (52-XX) 3 Geophysics (86-XX) 2 Abstract harmonic analysis (43-XX) 2 Mechanics of particles and systems (70-XX) 1 History and biography (01-XX) 1 $$K$$-theory (19-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Algebraic topology (55-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX)

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