Found 161 Documents (Results 1–100)
Schrödinger oscillators in a deformed point-like global monopole spacetime and a Wu-Yang magnetic monopole: position-dependent mass correspondence and isospectrality. (English) Zbl 1540.81049
Gravitational waves and neutrino oscillations in Chern-Simons axion gravity. (English) Zbl 1519.83020
Multiple Non-radial Solutions for Coupled Schrödinger Equations. arXiv:2309.05168
Preprint, arXiv:2309.05168 [math.AP] (2023).
Black hole perturbations in higher-order scalar-tensor theories: initial value problem and dynamical stability. (English) Zbl 1501.83009
Estimates by gap potentials of free homotopy decompositions of critical Sobolev maps. (English) Zbl 1437.58008
Reviewer: Hirokazu Nishimura (Tsukuba)
Classification of radial solutions to Hénon type equation on the hyperbolic space. (English) Zbl 1429.58027
Reviewer: Said El Manouni (Berlin)
Heat ball formulæ for \(k\)-forms on evolving manifolds. (English) Zbl 1415.58016
Reviewer: Zdzisław Dzedzej (Gdansk)
Local energy inequalities for mean curvature flow into evolving ambient spaces. (English) Zbl 1435.53065
Zero Comparison Theorem of Sturm-Liouville Type for Harmonic Heat Flow. arXiv:1912.05178
Preprint, arXiv:1912.05178 [math.AP] (2019).
On the separation distance of minimal Green energy points on compact Riemannian manifolds. arXiv:1901.00779
Preprint, arXiv:1901.00779 [math.DG] (2019).
A toy Neumann analogue of the nodal line conjecture. (English) Zbl 1391.35291
Reviewer: Dumitru Motreanu (Juiz de Fora)
Some nodal properties of the quantum harmonic oscillator and other Schrödinger operators in \(\mathbb{R}^2\). (English) Zbl 1391.35020
Girouard, Alexandre (ed.) et al., Geometric and computational spectral theory. Lectures from the Séminaire de Mathématiques Supérieures, Centre de Recherches Mathématiques, Université de Montréal, Montréal, QC, Canada, June 15–26, 2015. Providence, RI: American Mathematical Society (AMS); Montreal: Centre de Recherches Mathématiques (CRM) (ISBN 978-1-4704-2665-1/pbk; 978-1-4704-4258-3/ebook). Contemporary Mathematics 700. Centre de Recherches Mathématiques Proceedings, 87-116 (2017).
On the local behavior of the Orlicz-Sobolev classes. (English. Ukrainian original) Zbl 1379.58002
J. Math. Sci., New York 224, No. 4, 563-581 (2017); translation from Ukr. Mat. Visn. 13, No. 4, 570-598 (2016).
Reviewer: Vagn Lundsgaard Hansen (Lyngby)
Courant-sharp eigenvalues for the equilateral torus, and for the equilateral triangle. (English) Zbl 1382.58021
Reviewer: Peter B. Gilkey (Eugene)
On nodal domains in Euclidean balls. (English) Zbl 1362.35200
Reviewer: Daniel Beltiţă (Bucureşti)
A. Stern’s analysis of the nodal sets of some families of spherical harmonics revisited. (English) Zbl 1351.33014
Reviewer: Valery V. Karachik (Chelyabinsk)
Nodal domains in the square – the Neumann case. (English) Zbl 1342.35198
Reviewer: Mohammed El Aïdi (Bogotá)
Dirichlet eigenfunctions of the square membrane: Courant’s property, and A. Stern’s and Å. Pleijel’s analyses. (English) Zbl 1390.35209
Baklouti, Ali (ed.) et al., Analysis and geometry. MIMS-GGTM, Tunis, Tunisia, March 24–27, 2014. Proceedings of the international conference. In honour of Mohammed Salah Baouendi. Cham: Springer (ISBN 978-3-319-17442-6/hbk; 978-3-319-17443-3/ebook). Springer Proceedings in Mathematics & Statistics 127, 69-114 (2015).
Global regularity for a class of quasi-linear local and nonlocal elliptic equations on extension domains. (English) Zbl 1319.35052
Reviewer: Junichi Aramaki (Saitama)
Multiplicity bounds for Steklov eigenvalues on Riemannian surfaces. (Bornes pour les multiplicités des valeurs propres de Steklov sur les surfaces riemanniennes.) (English. French summary) Zbl 1321.58027
Reviewer: Laurent Guillopé (Nantes)
On convergence analysis of space homeomorphisms. (English) Zbl 1350.58002
Reviewer: Oscar Blasco (Valencia)
Bifurcation results on positive solutions of an indefinite nonlinear elliptic system. (English) Zbl 1510.35038
On mappings in the Orlicz–Sobolev classes on Riemannian manifolds. (English. Russian original) Zbl 1268.58008
J. Math. Sci., New York 181, No. 1, 1-17 (2012); translation from Ukr. Mat. Visn. 8, No. 3, 319-342 (2011).
Reviewer: Crichton Ogle (Columbus)
MSC:
58C07
Optimal regularity of solutions to Poisson equations on metric measure spaces and an application. (English) Zbl 1387.35005
Report. University of Jyväskylä. Department of Mathematics and Statistics 133. Jyväskylä: University of Jyväskylä, Department of Mathematics and Statistics (Diss.) (ISBN 978-951-39-4717-0/pbk). not consecutively paged (2012).
Theorems on ball mean values for solutions of the Helmholtz equation on unbounded domains. (English. Russian original) Zbl 1246.35071
Izv. Math. 76, No. 2, 365-374 (2012); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 76, No. 2, 161-170 (2012).
Reviewer: Andreas Kleefeld (Cottbus)
Spherical mean theorems for solutions of the Helmholtz equation. (English. Russian original) Zbl 1242.35107
Dokl. Math. 85, No. 1, 60-62 (2012); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 442, No. 3, 315-317 (2012).
Reviewer: Andreas Kleefeld (Cottbus)
A note on the Bernstein property of a fourth order complex partial differential equations. (English. French summary) Zbl 1241.53015
Global comparison principles for the \(p\)-Laplace operator on Riemannian manifolds. (English) Zbl 1222.58018
Reviewer: Shu-Yu Hsu (Chia-Yi)
Multi-dimensional Morse index theorems and a symplectic view of elliptic boundary value problems. (English) Zbl 1210.35056
Multiple stable patterns in a balanced bistable equation with heterogeneous environments. (English) Zbl 1193.35047
Lie group classifications and exact solutions for two variable-coefficient equations. (English) Zbl 1232.35173
A constant rank theorem for Hermitian \(k\)-convex solutions of complex Laplace equations. (English) Zbl 1192.58011
Reviewer: Dumitru Motreanu (Perpignan)
On the existence of smooth self-similar blowup profiles for the wave map equation. (English) Zbl 1179.35033
WITHDRAWN: Simple proofs of some results of Perelman on Ricci flow. arXiv:0901.4633
Preprint, arXiv:0901.4633 [math.DG] (2009); retraction notice ibid.
Equipartition of energy for the wave equation associated to the Dunkl-Cherednik Laplacian. (English) Zbl 1171.35421
Elliptic systems of pseudodifferential equations in the refined scale on a closed manifold. (English) Zbl 1172.35313
A counterexample to a conjecture by De Giorgi in large dimensions. (English. Abridged French version) Zbl 1161.35023
Symmetry of extremal functions in Moser-Trudinger inequalities and a Hénon type problem in dimension two. (English) Zbl 1173.35044
Reviewer: Zuoliang Xu (Beijing)
Local monotonicity and mean value formulas for evolving Riemannian manifolds. (English) Zbl 1170.35050
Reviewer: Christine Guenther (Forest Grove)
Anti-selfdual Lagrangians. II: Unbounded non self-adjoint operators and evolution equations. (English) Zbl 1223.35023
The mean-value theorem for elliptic operators on stratified sets. (English. Russian original) Zbl 1136.35020
Math. Notes 81, No. 3, 365-372 (2007); translation from Mat. Zametki 81, No. 3, 417-426 (2007).
Liouville theorems and spectral edge behavior on Abelian coverings of compact manifolds. (English) Zbl 1127.58015
Quasilinear elliptic problems in \(\mathbb R^N\) involving oscillatory nonlinearities. (English) Zbl 1185.35071
Qualitative properties for solutions of singular elliptic inequalities on complete manifolds. (English) Zbl 1143.35099
Reviewer: Messoud A. Efendiev (Berlin)
On unbounded solutions of the stationary Schrödinger problem on model Riemannian manifolds. (English. Russian original) Zbl 1519.35077
Russ. Math. 50, No. 7, 43-53 (2006); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2006, No. 7, 46-56 (2006).
Symmetry properties of positive solutions of parabolic equations on \(\mathbb R^N\). II: Entire solutions. (English) Zbl 1128.35051
Reviewer: Peter Leach (Durban)
Symmetry of entire solutions for a class of semilinear elliptic equations. (English) Zbl 1130.35056
Sanz-Solé, Marta (ed.) et al., Proceedings of the international congress of mathematicians (ICM), Madrid, Spain, August 22–30, 2006. Volume III: Invited lectures. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-022-7/hbk). 257-265 (2006).
Symmetrization and applications. (English) Zbl 1110.35002
Series in Analysis 3. Hackensack, NJ: World Scientific (ISBN 981-256-733-X/hbk). xii, 148 p. (2006).
Reviewer: Vicenţiu D. Rădulescu (Craiova)
A note on a symmetry result for traveling waves in cylinders. (English) Zbl 1085.35070
Reviewer: Boris V. Loginov (Ul’yanovsk)
Concentration of local energy effect for equivariant wave maps on two-dimensional torus. (English) Zbl 1090.35124
Reviewer: Petar Popivanov (Sofia)
Symmetry properties of positive solutions of parabolic equations on \(\mathbb R^N\). I: Asymptotic symmetry for the Cauchy problem. (English) Zbl 1083.35045
Reviewer: Peter Leach (Durban)
Huygen principle and equipartition of energy for the modified wave equation associated to a generalized radial Laplacian. (English) Zbl 1088.35036
Radiation fields. (English) Zbl 1085.35015
Reviewer: V. D. Sharma (Mumbai)
Comparison of Green functions and harmonic measures for parabolic operators. (English) Zbl 1071.31002
Reviewer: Dian K. Palagachev (Bari)
Blowup for \(u_t = \Delta u + |\nabla u|^2 u\) from \(\mathbb{R}^n\) into \(\mathbb{R}^m\). (English) Zbl 1058.35087
Regularity of positive solutions of \(p\)-Laplace equations on manifolds and its applications. (English) Zbl 1129.35316
Birindelli, Isabeau (ed.) et al., Proceedings of the workshop on second order subelliptic equations and applications, Cortona, Italy, June 16–22, 2003. Potenza: Università degli Studi della Basilicata, Dipartimento di Matematica, S.I.M. Lecture Notes of Seminario Interdisciplinare di Matematica 3, 9-25 (2004).
Homoclinic solutions for a semilinear elliptic equation with an asymptotically linear nonlinearity. (English) Zbl 1142.35422
Reviewer: Andrzej Szulkin (Stockholm)
On the Schrödinger heat kernel in horn-shaped domains. (English) Zbl 1052.58028
Reviewer: Dian K. Palagachev (Bari)
Axial symmetry of solutions to semilinear elliptic equations in unbounded domains. (English) Zbl 1330.35156
Sharp Sobolev inequality of logarithmic type and the limiting regularity condition to the harmonic heat flow. (English) Zbl 1036.35082
Reviewer: Evgeniy A. Kalita (Donetsk)
Kernel spikes of singular problems. (English) Zbl 1031.31002
Reviewer: Vladimir S.Pilidi (Rostov-na-Donu)
Sharp inequalities for functional integrals and traces of conformally invariant operators. (English) Zbl 1065.58022
Dirichlet heat kernel in the exterior of a compact set. (English) Zbl 1037.58018
Reviewer: Dian K. Palagachev (Bari)
On stable quasi-harmonic maps and Liouville type theorems. (English) Zbl 1003.58011
Reviewer: Vicenţiu D.Rădulescu (Craiova)
Nonlinear wave equations on the two-dimensional sphere. (English) Zbl 1006.35069
Reviewer: Messoud Efendiev (Berlin)
Positive solutions to perturbed elliptic problems in \(\mathbb R^N\) involving critical Sobolev exponent. (English) Zbl 1097.35047
Nodal solutions to a class of nonstandard superlinear equations on \(\mathbb R^ N\). (English) Zbl 1126.35316
Hölder estimates and regularity for holomorphic and harmonic functions. (English) Zbl 1049.58024
Reviewer: Andreas Gastel (Düsseldorf)
Semi-bounded restrictions of Dirac type operators and the unique continuation property. (English) Zbl 1031.58008
Reviewer: Dian K.Palagachev (Bari)
Existence implies uniqueness for a class of singular anisotropic elliptic boundary value problems. (English) Zbl 0999.35032
Equivalence of Sobolev spaces. (English) Zbl 1056.53029
Reviewer: Thoralf Chrobok (Berlin)
Positive solutions of Ambrosetti-Prodi problems involving the critical Sobolev exponent. (English) Zbl 0987.58009
Reviewer: Lubomira Softova (Bari)
Two symmetry problems in potential theory. (English) Zbl 0981.35045
Reviewer: Li Mingzhong (Shanghai)
On the problem of the nonexistence of entire solutions of quasilinear elliptic equations. (English. Russian original) Zbl 1040.35027
Dokl. Math. 61, No. 2, 247-249 (2000); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 371, No. 5, 591-593 (2000).
A Harnack inequality for \(p\)-Laplace heat equation on Riemannian manifolds. (Chinese. English summary) Zbl 1017.58017
Positive solutions of elliptic equations in unbounded domain. (Chinese. English summary) Zbl 0970.35505
Sets of solutions of nonlinear initial-boundary value problems. (English) Zbl 0974.35515
Haščák, A. (ed.) et al., International scientific conference on mathematics. Proceedings of the conference, Herl’any, Slovakia, October 21-23, 1999. Košice: University of Technology Košice, Faculty of Electrical Engineering and Informatics. 79-84 (2000).
Radial symmetry of minimizers for \(p\)-Laplacian integral functionals. (Chinese. English summary) Zbl 0972.35043
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