## Weth, Tobias

Compute Distance To:
 Author ID: weth.tobias Published as: Weth, Tobias; Weth, T.
 Documents Indexed: 91 Publications since 2002 Co-Authors: 51 Co-Authors with 85 Joint Publications 966 Co-Co-Authors
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### Co-Authors

 6 single-authored 13 Fall, Mouhamed Moustapha 11 Bartsch, Thomas J. 7 Gazzola, Filippo 6 Clapp, Mónica 6 Jarohs, Sven 5 Evéquoz, Gilles 5 Wei, Juncheng 4 Liu, Zhaoli 4 Pistoia, Angela 3 Cabré, Xavier 3 Chen, Huyuan 3 Saldaña, Alberto 3 Szulkin, Andrzej 3 Tavares, Hugo 3 Willem, Michel 2 Ackermann, Nils 2 Berchio, Elvise 2 Bonheure, Denis 2 Dancer, Edward Norman 2 Ferrero, Alberto 2 Feulefack, Pierre Aime 2 Minlend, Ignace Aristide 2 Pacella, Filomena 2 Parini, Enea 2 Reichel, Wolfgang 1 Chen, Shibing 1 Cingolani, Silvia 1 Djitte, Sidy Moctar 1 Du, Miao 1 Frank, Rupert L. 1 Girão, Pedro Martins 1 Gladiali, Francesca 1 Heid, Michael 1 Heinz, Hans-Peter 1 Kübler, Joel 1 Laptev, Ari 1 Lou, Zhenluo 1 Moreira dos Santos, Ederson 1 Noris, Benedetta 1 Rieger, Janosch 1 Schneider, Matthias 1 Soave, Nicola 1 Solà-Morales, Joan 1 Sperone, Gianmarco 1 Su, Jiabao 1 Temgoua, Remi Yvant 1 Terracini, Susanna 1 Verzini, Gianmaria 1 Wang, Zhi-Qiang 1 Yeşil, Tolga 1 Zhang, Zhitao
all top 5

### Serials

 6 Calculus of Variations and Partial Differential Equations 5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 Journal of Functional Analysis 4 Communications in Partial Differential Equations 3 Archive for Rational Mechanics and Analysis 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Journal für die Reine und Angewandte Mathematik 3 Mathematische Zeitschrift 3 Topological Methods in Nonlinear Analysis 3 Advances in Differential Equations 3 Communications in Contemporary Mathematics 2 Communications in Mathematical Physics 2 Nonlinearity 2 Advances in Mathematics 2 Archiv der Mathematik 2 Journal of Differential Equations 2 Mathematische Annalen 2 Differential and Integral Equations 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 SIAM Journal on Mathematical Analysis 2 Discrete and Continuous Dynamical Systems 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal d’Analyse Mathématique 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Applied Mathematics and Optimization 1 Indiana University Mathematics Journal 1 Journal of the London Mathematical Society. Second Series 1 Manuscripta Mathematica 1 Mathematische Nachrichten 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Proceedings of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 Transactions of the American Mathematical Society 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 IMRN. International Mathematics Research Notices 1 The Journal of Geometric Analysis 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Journal of Dynamics and Differential Equations 1 SIAM Journal on Optimization 1 Potential Analysis 1 Communications in Analysis and Geometry 1 Mitteilungen aus dem Mathematischen Seminar Gießen 1 NoDEA. Nonlinear Differential Equations and Applications 1 The Journal of Fourier Analysis and Applications 1 Analysis (München) 1 Journal of Evolution Equations 1 Advanced Nonlinear Studies 1 Journal of Fixed Point Theory and Applications 1 Analysis & PDE 1 Analysis and Mathematical Physics 1 Minimax Theory and its Applications
all top 5

### Fields

 83 Partial differential equations (35-XX) 18 Operator theory (47-XX) 17 Global analysis, analysis on manifolds (58-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 6 Functional analysis (46-XX) 5 Real functions (26-XX) 4 Differential geometry (53-XX) 3 Fluid mechanics (76-XX) 3 Quantum theory (81-XX) 2 Ordinary differential equations (34-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Biology and other natural sciences (92-XX) 1 Potential theory (31-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-XX) 1 Numerical analysis (65-XX) 1 Mechanics of deformable solids (74-XX) 1 Statistical mechanics, structure of matter (82-XX)

### Citations contained in zbMATH Open

83 Publications have been cited 2,540 times in 1,634 Documents Cited by Year
Ground state solutions for some indefinite variational problems. Zbl 1178.35352
Szulkin, Andrzej; Weth, Tobias
2009
The method of Nehari manifold. Zbl 1218.58010
Szulkin, Andrzej; Weth, Tobias
2010
Sign changing solutions of superlinear Schrödinger equations. Zbl 1140.35410
Bartsch, Thomas; Liu, Zhaoli; Weth, Tobias
2004
A priori bounds versus multiple existence of positive solutions for a nonlinear Schrödinger system. Zbl 1191.35121
Dancer, E. N.; Wei, Juncheng; Weth, Tobias
2010
Partial symmetry of least energy nodal solutions to some variational problems. Zbl 1206.35086
Bartsch, Thomas; Weth, Tobias; Willem, Michel
2005
Radial solutions and phase separation in a system of two coupled Schrödinger equations. Zbl 1161.35051
Wei, Juncheng; Weth, Tobias
2008
Three nodal solutions of singularly perturbed elliptic equations on domains without topology. Zbl 1114.35068
Bartsch, Thomas; Weth, Tobias
2005
Nodal solutions of a $$p$$-Laplacian equation. Zbl 1162.35364
Bartsch, Thomas; Liu, Zhaoli; Weth, Tobias
2005
Nonexistence results for a class of fractional elliptic boundary value problems. Zbl 1260.35050
Fall, Mouhamed Moustapha; Weth, Tobias
2012
A note on additional properties of sign changing solutions to superlinear elliptic equations. Zbl 1094.35041
Bartsch, Thomas; Weth, Tobias
2003
Finite time blow-up and global solutions for semilinear parabolic equations with initial data at high energy level. Zbl 1212.35248
Gazzola, Filippo; Weth, Tobias
2005
Nonradial symmetric bound states for a system of coupled Schrödinger equations. Zbl 1229.35019
Wei, Juncheng; Weth, Tobias
2007
Symmetry via antisymmetric maximum principles in nonlocal problems of variable order. Zbl 1346.35010
Jarohs, Sven; Weth, Tobias
2016
Asymptotic behaviour of solutions of planar elliptic systems with strong competition. Zbl 1132.35482
Wei, Juncheng; Weth, Tobias
2008
Energy bounds for entire nodal solutions of autonomous superlinear equations. Zbl 1151.35365
Weth, Tobias
2006
On the planar Schrödinger-Poisson system. Zbl 1331.35126
Cingolani, Silvia; Weth, Tobias
2016
A Sobolev inequality with remainder term and critical equations on domains with topology for the polyharmonic operator. Zbl 1059.31006
Bartsch, Thomas; Weth, Tobias; Willem, Michel
2003
Sign changing bubble tower solutions in a slightly subcritical semilinear Dirichlet problem. (Solutions changeant de signe du type “tour de bulles” du problème de Dirichlet pour l’équation $$-\Delta u=|u|^{\frac{4}{N-2}-\varepsilon}u$$.) Zbl 1166.35018
Pistoia, Angela; Weth, Tobias
2007
A priori bounds and a Liouville theorem on a half-space for higher-order elliptic Dirichlet problems. Zbl 1167.35014
Reichel, Wolfgang; Weth, Tobias
2009
Multiple solutions for the Brezis-Nirenberg problem. Zbl 1284.35151
Clapp, Mónica; Weth, Tobias
2005
Monotonicity and nonexistence results for some fractional elliptic problems in the half-space. Zbl 1334.35385
Fall, Mouhamed Moustapha; Weth, Tobias
2016
Symmetry of solutions to semilinear elliptic equations via Morse index. Zbl 1190.35096
Pacella, Filomena; Weth, Tobias
2007
Minimal nodal solutions of the pure critical exponent problem on a symmetric domain. Zbl 1097.35048
Clapp, Mónica; Weth, Tobias
2004
Radial symmetry of positive solutions to nonlinear polyharmonic Dirichlet problems. Zbl 1182.35109
Berchio, Elvise; Gazzola, Filippo; Weth, Tobias
2008
Increasing radial solutions for Neumann problems without growth restrictions. Zbl 1248.35079
Bonheure, Denis; Noris, Benedetta; Weth, Tobias
2012
$$N$$-vortex equilibria for ideal fluids in bounded planar domains and new nodal solutions of the sinh-Poisson and the Lane-Emden-Fowler equations. Zbl 1195.35250
Bartsch, Thomas; Pistoia, Angela; Weth, Tobias
2010
Configuration spaces, transfer, and 2-nodal solutions of a semiclassical nonlinear Schrödinger equation. Zbl 1126.35061
Bartsch, Thomas; Clapp, Mónica; Weth, Tobias
2007
Dual variational methods and nonvanishing for the nonlinear Helmholtz equation. Zbl 1317.35030
Evequoz, Gilles; Weth, Tobias
2015
Ground states and high energy solutions of the planar Schrödinger-Poisson system. Zbl 1384.35010
Du, Miao; Weth, Tobias
2017
Compactness results for Schrödinger equations with asymptotically linear terms. Zbl 1387.35246
Liu, Zhaoli; Su, Jiabao; Weth, Tobias
2006
On a fourth order Steklov eigenvalue problem. Zbl 1112.49035
Ferrero, Alberto; Gazzola, Filippo; Weth, Tobias
2005
Symmetry of solutions to variational problems for nonlinear elliptic equations via reflection methods. Zbl 1206.35115
Weth, Tobias
2010
Multibump solutions of nonlinear periodic Schrödinger equations in a degenerate setting. Zbl 1070.35083
Ackermann, Nils; Weth, Tobias
2005
Remainder terms in the fractional Sobolev inequality. Zbl 1296.46032
Chen, Shibing; Frank, Rupert L.; Weth, Tobias
2013
Multiple solutions of a critical polyharmonic equation. Zbl 1071.35041
Bartsch, Thomas; Schneider, Matthias; Weth, Tobias
2004
Existence and nonexistence of entire solutions for non-cooperative cubic elliptic systems. Zbl 1235.35089
Tavares, Hugo; Terracini, Susanna; Verzini, Gianmaria; Weth, Tobias
2011
Asymptotic symmetry for a class of nonlinear fractional reaction-diffusion equations. Zbl 1284.35028
Jarohs, Sven; Weth, Tobias
2014
Curves and surfaces with constant nonlocal mean curvature: meeting Alexandrov and Delaunay. Zbl 1431.53010
Cabré, Xavier; Fall, Mouhamed Moustapha; Solà-Morales, Joan; Weth, Tobias
2018
Positivity, symmetry and uniqueness for minimizers of second-order Sobolev inequalities. Zbl 1141.46014
Ferrero, Alberto; Gazzola, Filippo; Weth, Tobias
2007
Symmetry and nonexistence of low Morse index solutions in unbounded domains. Zbl 1189.35100
Gladiali, Francesca; Pacella, Filomena; Weth, Tobias
2010
The shape of extremal functions for Poincaré-Sobolev-type inequalities in a ball. Zbl 1122.26015
Girão, Pedro; Weth, Tobias
2006
Real solutions to the nonlinear Helmholtz equation with local nonlinearity. Zbl 1285.35003
Evéquoz, Gilles; Weth, Tobias
2014
The effect of the domain’s configuration space on the number of nodal solutions of singularly perturbed elliptic equations. Zbl 1152.35039
Bartsch, Thomas; Weth, Tobias
2005
Existence of solutions to nonlinear, subcritical higher order elliptic Dirichlet problems. Zbl 1185.35066
Reichel, Wolfgang; Weth, Tobias
2010
Liouville theorems for a general class of nonlocal operators. Zbl 1346.35210
Fall, Mouhamed Moustapha; Weth, Tobias
2016
The Dirichlet problem for the logarithmic Laplacian. Zbl 1423.35390
Chen, Huyuan; Weth, Tobias
2019
Entire solutions to nonlinear scalar field equations with indefinite linear part. Zbl 1260.35067
Evéquoz, Gilles; Weth, Tobias
2012
Multiple solutions of nonlinear scalar field equations. Zbl 1140.35401
Clapp, Mónica; Weth, Tobias
2004
Delaunay hypersurfaces with constant nonlocal mean curvature. Zbl 06825477
Cabré, Xavier; Fall, Mouhamed Moustapha; Weth, Tobias
2018
Ground state solutions for a semilinear problem with critical exponent. Zbl 1240.35205
Szulkin, Andrzej; Weth, Tobias; Willem, Michel
2009
Critical growth biharmonic elliptic problems under Steklov-type boundary conditions. Zbl 1155.35018
Berchio, Elvise; Gazzola, Filippo; Weth, Tobias
2007
Existence and symmetry results for competing variational systems. Zbl 1268.35008
Tavares, H.; Weth, T.
2013
Liouville-type results for non-cooperative elliptic systems in a half-space. Zbl 1250.35090
Dancer, E. N.; Weth, Tobias
2012
Nodal solutions to superlinear biharmonic equations via decomposition in dual cones. Zbl 1110.58006
Weth, Tobias
2006
Two solutions of the Bahri-Coron problem in punctured domains via the fixed point transfer. Zbl 1157.35048
Clapp, Mónica; Weth, Tobias
2008
Branch continuation inside the essential spectrum for the nonlinear Schrödinger equation. Zbl 1401.35095
Evéquoz, Gilles; Weth, Tobias
2017
Symmetry breaking via Morse index for equations and systems of Hénon-Schrödinger type. Zbl 1412.35108
Lou, Zhenluo; Weth, Tobias; Zhang, Zhitao
2019
Existence, unique continuation and symmetry of least energy nodal solutions to sublinear Neumann problems. Zbl 1321.35026
Parini, Enea; Weth, Tobias
2015
Near-sphere lattices with constant nonlocal mean curvature. Zbl 1392.53015
Cabré, Xavier; Fall, Mouhamed Moustapha; Weth, Tobias
2018
Asymptotic axial symmetry of solutions of parabolic equations in bounded radial domains. Zbl 1259.35012
Saldaña, Alberto; Weth, Tobias
2012
On the number of nodal solutions to a singularly perturbed Neumann problem. Zbl 1205.35031
Wei, Juncheng; Weth, Tobias
2005
The unique continuation property of sublinear equations. Zbl 1395.35057
Soave, Nicola; Weth, Tobias
2018
Unstable normalized standing waves for the space periodic NLS. Zbl 1405.35191
Ackermann, Nils; Weth, Tobias
2019
Multiple solutions of nonlinear Schrödinger equations via flow invariance and Morse theory. Zbl 1128.35045
Liu, Zhaoli; Wang, Zhi-Qiang; Weth, Tobias
2006
Spectral asymptotics of radial solutions and nonradial bifurcation for the Hénon equation. Zbl 1453.35073
Kübler, Joel; Weth, Tobias
2020
Serrin’s overdetermined problem on the sphere. Zbl 1403.35183
Fall, Mouhamed Moustapha; Minlend, Ignace Aristide; Weth, Tobias
2018
On the strong maximum principle for nonlocal operators. Zbl 1455.35032
Jarohs, Sven; Weth, Tobias
2019
Unbounded periodic solutions to Serrin’s overdetermined boundary value problem. Zbl 1364.35207
Fall, Mouhamed Moustapha; Minlend, Ignace Aristide; Weth, Tobias
2017
A new look at the fractional Poisson problem via the logarithmic Laplacian. Zbl 1450.35269
Jarohs, Sven; Saldaña, Alberto; Weth, Tobias
2020
Erratum to: “$$N$$-vortex equilibria for ideal fluids in bounded planar domains and new nodal solutions of the sinh-Poisson and the Lane-Emden-Fowler equations”. Zbl 1305.35111
Bartsch, Thomas; Pistoia, Angela; Weth, Tobias
2015
Local compactness and nonvanishing for weakly singular nonlocal quadratic forms. Zbl 1444.47064
Jarohs, Sven; Weth, Tobias
2020
Remainder terms in a higher order Sobolev inequality. Zbl 1215.46023
Gazzola, Filippo; Weth, Tobias
2010
Nonlinear eigenvalue problems of Schrödinger type admitting eigenfunctions with given spectral characteristics. Zbl 1016.47043
Heid, Michael; Heinz, Hans-Peter; Weth, Tobias
2002
Global bifurcation branches for radially symmetric Schrödinger equations. Zbl 1109.35107
Weth, Tobias
2005
Complex solutions and stationary scattering for the nonlinear Helmholtz equation. Zbl 1467.35174
Chen, Huyuan; Evéquoz, Gilles; Weth, Tobias
2021
Spectral properties of the logarithmic Laplacian. Zbl 1476.35153
Laptev, Ari; Weth, Tobias
2021
Sharp local estimates for the Szegő-Weinberger profile in Riemannian manifolds. Zbl 1297.53032
Fall, Mouhamed Moustapha; Weth, Tobias
2014
Critical domains for the first nonzero Neumann eigenvalue in Riemannian manifolds. Zbl 07125753
Fall, Mouhamed Moustapha; Weth, Tobias
2019
On the asymptotic shape of solutions to Neumann problems for non-cooperative parabolic systems. Zbl 1325.35086
Saldaña, Alberto; Weth, Tobias
2015
Localized solvability of relaxed one-sided Lipschitz inclusions in Hilbert spaces. Zbl 1353.47103
Rieger, Janosch; Weth, Tobias
2016
Morse index versus radial symmetry for fractional Dirichlet problems. Zbl 1476.35306
Fall, Mouhamed Moustapha; Feulefack, Pierre Aime; Temgoua, Remi Yvant; Weth, Tobias
2021
Nodal solutions for sublinear-type problems with Dirichlet boundary conditions. Zbl 07487105
Bonheure, Denis; Moreira dos Santos, Ederson; Parini, Enea; Tavares, Hugo; Weth, Tobias
2022
Small order asymptotics of the Dirichlet eigenvalue problem for the fractional Laplacian. Zbl 07488201
Feulefack, Pierre Aime; Jarohs, Sven; Weth, Tobias
2022
Nodal solutions for sublinear-type problems with Dirichlet boundary conditions. Zbl 07487105
Bonheure, Denis; Moreira dos Santos, Ederson; Parini, Enea; Tavares, Hugo; Weth, Tobias
2022
Small order asymptotics of the Dirichlet eigenvalue problem for the fractional Laplacian. Zbl 07488201
Feulefack, Pierre Aime; Jarohs, Sven; Weth, Tobias
2022
Complex solutions and stationary scattering for the nonlinear Helmholtz equation. Zbl 1467.35174
Chen, Huyuan; Evéquoz, Gilles; Weth, Tobias
2021
Spectral properties of the logarithmic Laplacian. Zbl 1476.35153
Laptev, Ari; Weth, Tobias
2021
Morse index versus radial symmetry for fractional Dirichlet problems. Zbl 1476.35306
Fall, Mouhamed Moustapha; Feulefack, Pierre Aime; Temgoua, Remi Yvant; Weth, Tobias
2021
Spectral asymptotics of radial solutions and nonradial bifurcation for the Hénon equation. Zbl 1453.35073
Kübler, Joel; Weth, Tobias
2020
A new look at the fractional Poisson problem via the logarithmic Laplacian. Zbl 1450.35269
Jarohs, Sven; Saldaña, Alberto; Weth, Tobias
2020
Local compactness and nonvanishing for weakly singular nonlocal quadratic forms. Zbl 1444.47064
Jarohs, Sven; Weth, Tobias
2020
The Dirichlet problem for the logarithmic Laplacian. Zbl 1423.35390
Chen, Huyuan; Weth, Tobias
2019
Symmetry breaking via Morse index for equations and systems of Hénon-Schrödinger type. Zbl 1412.35108
Lou, Zhenluo; Weth, Tobias; Zhang, Zhitao
2019
Unstable normalized standing waves for the space periodic NLS. Zbl 1405.35191
Ackermann, Nils; Weth, Tobias
2019
On the strong maximum principle for nonlocal operators. Zbl 1455.35032
Jarohs, Sven; Weth, Tobias
2019
Critical domains for the first nonzero Neumann eigenvalue in Riemannian manifolds. Zbl 07125753
Fall, Mouhamed Moustapha; Weth, Tobias
2019
Curves and surfaces with constant nonlocal mean curvature: meeting Alexandrov and Delaunay. Zbl 1431.53010
Cabré, Xavier; Fall, Mouhamed Moustapha; Solà-Morales, Joan; Weth, Tobias
2018
Delaunay hypersurfaces with constant nonlocal mean curvature. Zbl 06825477
Cabré, Xavier; Fall, Mouhamed Moustapha; Weth, Tobias
2018
Near-sphere lattices with constant nonlocal mean curvature. Zbl 1392.53015
Cabré, Xavier; Fall, Mouhamed Moustapha; Weth, Tobias
2018
The unique continuation property of sublinear equations. Zbl 1395.35057
Soave, Nicola; Weth, Tobias
2018
Serrin’s overdetermined problem on the sphere. Zbl 1403.35183
Fall, Mouhamed Moustapha; Minlend, Ignace Aristide; Weth, Tobias
2018
Ground states and high energy solutions of the planar Schrödinger-Poisson system. Zbl 1384.35010
Du, Miao; Weth, Tobias
2017
Branch continuation inside the essential spectrum for the nonlinear Schrödinger equation. Zbl 1401.35095
Evéquoz, Gilles; Weth, Tobias
2017
Unbounded periodic solutions to Serrin’s overdetermined boundary value problem. Zbl 1364.35207
Fall, Mouhamed Moustapha; Minlend, Ignace Aristide; Weth, Tobias
2017
Symmetry via antisymmetric maximum principles in nonlocal problems of variable order. Zbl 1346.35010
Jarohs, Sven; Weth, Tobias
2016
On the planar Schrödinger-Poisson system. Zbl 1331.35126
Cingolani, Silvia; Weth, Tobias
2016
Monotonicity and nonexistence results for some fractional elliptic problems in the half-space. Zbl 1334.35385
Fall, Mouhamed Moustapha; Weth, Tobias
2016
Liouville theorems for a general class of nonlocal operators. Zbl 1346.35210
Fall, Mouhamed Moustapha; Weth, Tobias
2016
Localized solvability of relaxed one-sided Lipschitz inclusions in Hilbert spaces. Zbl 1353.47103
Rieger, Janosch; Weth, Tobias
2016
Dual variational methods and nonvanishing for the nonlinear Helmholtz equation. Zbl 1317.35030
Evequoz, Gilles; Weth, Tobias
2015
Existence, unique continuation and symmetry of least energy nodal solutions to sublinear Neumann problems. Zbl 1321.35026
Parini, Enea; Weth, Tobias
2015
Erratum to: “$$N$$-vortex equilibria for ideal fluids in bounded planar domains and new nodal solutions of the sinh-Poisson and the Lane-Emden-Fowler equations”. Zbl 1305.35111
Bartsch, Thomas; Pistoia, Angela; Weth, Tobias
2015
On the asymptotic shape of solutions to Neumann problems for non-cooperative parabolic systems. Zbl 1325.35086
Saldaña, Alberto; Weth, Tobias
2015
Asymptotic symmetry for a class of nonlinear fractional reaction-diffusion equations. Zbl 1284.35028
Jarohs, Sven; Weth, Tobias
2014
Real solutions to the nonlinear Helmholtz equation with local nonlinearity. Zbl 1285.35003
Evéquoz, Gilles; Weth, Tobias
2014
Sharp local estimates for the Szegő-Weinberger profile in Riemannian manifolds. Zbl 1297.53032
Fall, Mouhamed Moustapha; Weth, Tobias
2014
Remainder terms in the fractional Sobolev inequality. Zbl 1296.46032
Chen, Shibing; Frank, Rupert L.; Weth, Tobias
2013
Existence and symmetry results for competing variational systems. Zbl 1268.35008
Tavares, H.; Weth, T.
2013
Nonexistence results for a class of fractional elliptic boundary value problems. Zbl 1260.35050
Fall, Mouhamed Moustapha; Weth, Tobias
2012
Increasing radial solutions for Neumann problems without growth restrictions. Zbl 1248.35079
Bonheure, Denis; Noris, Benedetta; Weth, Tobias
2012
Entire solutions to nonlinear scalar field equations with indefinite linear part. Zbl 1260.35067
Evéquoz, Gilles; Weth, Tobias
2012
Liouville-type results for non-cooperative elliptic systems in a half-space. Zbl 1250.35090
Dancer, E. N.; Weth, Tobias
2012
Asymptotic axial symmetry of solutions of parabolic equations in bounded radial domains. Zbl 1259.35012
Saldaña, Alberto; Weth, Tobias
2012
Existence and nonexistence of entire solutions for non-cooperative cubic elliptic systems. Zbl 1235.35089
Tavares, Hugo; Terracini, Susanna; Verzini, Gianmaria; Weth, Tobias
2011
The method of Nehari manifold. Zbl 1218.58010
Szulkin, Andrzej; Weth, Tobias
2010
A priori bounds versus multiple existence of positive solutions for a nonlinear Schrödinger system. Zbl 1191.35121
Dancer, E. N.; Wei, Juncheng; Weth, Tobias
2010
$$N$$-vortex equilibria for ideal fluids in bounded planar domains and new nodal solutions of the sinh-Poisson and the Lane-Emden-Fowler equations. Zbl 1195.35250
Bartsch, Thomas; Pistoia, Angela; Weth, Tobias
2010
Symmetry of solutions to variational problems for nonlinear elliptic equations via reflection methods. Zbl 1206.35115
Weth, Tobias
2010
Symmetry and nonexistence of low Morse index solutions in unbounded domains. Zbl 1189.35100
Gladiali, Francesca; Pacella, Filomena; Weth, Tobias
2010
Existence of solutions to nonlinear, subcritical higher order elliptic Dirichlet problems. Zbl 1185.35066
Reichel, Wolfgang; Weth, Tobias
2010
Remainder terms in a higher order Sobolev inequality. Zbl 1215.46023
Gazzola, Filippo; Weth, Tobias
2010
Ground state solutions for some indefinite variational problems. Zbl 1178.35352
Szulkin, Andrzej; Weth, Tobias
2009
A priori bounds and a Liouville theorem on a half-space for higher-order elliptic Dirichlet problems. Zbl 1167.35014
Reichel, Wolfgang; Weth, Tobias
2009
Ground state solutions for a semilinear problem with critical exponent. Zbl 1240.35205
Szulkin, Andrzej; Weth, Tobias; Willem, Michel
2009
Radial solutions and phase separation in a system of two coupled Schrödinger equations. Zbl 1161.35051
Wei, Juncheng; Weth, Tobias
2008
Asymptotic behaviour of solutions of planar elliptic systems with strong competition. Zbl 1132.35482
Wei, Juncheng; Weth, Tobias
2008
Radial symmetry of positive solutions to nonlinear polyharmonic Dirichlet problems. Zbl 1182.35109
Berchio, Elvise; Gazzola, Filippo; Weth, Tobias
2008
Two solutions of the Bahri-Coron problem in punctured domains via the fixed point transfer. Zbl 1157.35048
Clapp, Mónica; Weth, Tobias
2008
Nonradial symmetric bound states for a system of coupled Schrödinger equations. Zbl 1229.35019
Wei, Juncheng; Weth, Tobias
2007
Sign changing bubble tower solutions in a slightly subcritical semilinear Dirichlet problem. (Solutions changeant de signe du type “tour de bulles” du problème de Dirichlet pour l’équation $$-\Delta u=|u|^{\frac{4}{N-2}-\varepsilon}u$$.) Zbl 1166.35018
Pistoia, Angela; Weth, Tobias
2007
Symmetry of solutions to semilinear elliptic equations via Morse index. Zbl 1190.35096
Pacella, Filomena; Weth, Tobias
2007
Configuration spaces, transfer, and 2-nodal solutions of a semiclassical nonlinear Schrödinger equation. Zbl 1126.35061
Bartsch, Thomas; Clapp, Mónica; Weth, Tobias
2007
Positivity, symmetry and uniqueness for minimizers of second-order Sobolev inequalities. Zbl 1141.46014
Ferrero, Alberto; Gazzola, Filippo; Weth, Tobias
2007
Critical growth biharmonic elliptic problems under Steklov-type boundary conditions. Zbl 1155.35018
Berchio, Elvise; Gazzola, Filippo; Weth, Tobias
2007
Energy bounds for entire nodal solutions of autonomous superlinear equations. Zbl 1151.35365
Weth, Tobias
2006
Compactness results for Schrödinger equations with asymptotically linear terms. Zbl 1387.35246
Liu, Zhaoli; Su, Jiabao; Weth, Tobias
2006
The shape of extremal functions for Poincaré-Sobolev-type inequalities in a ball. Zbl 1122.26015
Girão, Pedro; Weth, Tobias
2006
Nodal solutions to superlinear biharmonic equations via decomposition in dual cones. Zbl 1110.58006
Weth, Tobias
2006
Multiple solutions of nonlinear Schrödinger equations via flow invariance and Morse theory. Zbl 1128.35045
Liu, Zhaoli; Wang, Zhi-Qiang; Weth, Tobias
2006
Partial symmetry of least energy nodal solutions to some variational problems. Zbl 1206.35086
Bartsch, Thomas; Weth, Tobias; Willem, Michel
2005
Three nodal solutions of singularly perturbed elliptic equations on domains without topology. Zbl 1114.35068
Bartsch, Thomas; Weth, Tobias
2005
Nodal solutions of a $$p$$-Laplacian equation. Zbl 1162.35364
Bartsch, Thomas; Liu, Zhaoli; Weth, Tobias
2005
Finite time blow-up and global solutions for semilinear parabolic equations with initial data at high energy level. Zbl 1212.35248
Gazzola, Filippo; Weth, Tobias
2005
Multiple solutions for the Brezis-Nirenberg problem. Zbl 1284.35151
Clapp, Mónica; Weth, Tobias
2005
On a fourth order Steklov eigenvalue problem. Zbl 1112.49035
Ferrero, Alberto; Gazzola, Filippo; Weth, Tobias
2005
Multibump solutions of nonlinear periodic Schrödinger equations in a degenerate setting. Zbl 1070.35083
Ackermann, Nils; Weth, Tobias
2005
The effect of the domain’s configuration space on the number of nodal solutions of singularly perturbed elliptic equations. Zbl 1152.35039
Bartsch, Thomas; Weth, Tobias
2005
On the number of nodal solutions to a singularly perturbed Neumann problem. Zbl 1205.35031
Wei, Juncheng; Weth, Tobias
2005
Global bifurcation branches for radially symmetric Schrödinger equations. Zbl 1109.35107
Weth, Tobias
2005
Sign changing solutions of superlinear Schrödinger equations. Zbl 1140.35410
Bartsch, Thomas; Liu, Zhaoli; Weth, Tobias
2004
Minimal nodal solutions of the pure critical exponent problem on a symmetric domain. Zbl 1097.35048
Clapp, Mónica; Weth, Tobias
2004
Multiple solutions of a critical polyharmonic equation. Zbl 1071.35041
Bartsch, Thomas; Schneider, Matthias; Weth, Tobias
2004
Multiple solutions of nonlinear scalar field equations. Zbl 1140.35401
Clapp, Mónica; Weth, Tobias
2004
A note on additional properties of sign changing solutions to superlinear elliptic equations. Zbl 1094.35041
Bartsch, Thomas; Weth, Tobias
2003
A Sobolev inequality with remainder term and critical equations on domains with topology for the polyharmonic operator. Zbl 1059.31006
Bartsch, Thomas; Weth, Tobias; Willem, Michel
2003
Nonlinear eigenvalue problems of Schrödinger type admitting eigenfunctions with given spectral characteristics. Zbl 1016.47043
Heid, Michael; Heinz, Hans-Peter; Weth, Tobias
2002
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### Cited by 1,274 Authors

 63 Tang, Xianhua 50 Weth, Tobias 41 Zou, Wenming 40 Wang, Zhi-Qiang 27 Bartsch, Thomas J. 27 Clapp, Mónica 27 Pistoia, Angela 25 Alves, Claudianor Oliveira 24 Pacella, Filomena 23 Zhang, Fubao 21 Ding, Yanheng 21 Wei, Juncheng 20 Figueiredo, Giovany Malcher 19 Chen, Sitong 19 Liu, Xiangqing 19 Peng, Shuangjie 19 Soave, Nicola 18 Ambrosio, Vincenzo 18 Guo, Yuxia 18 Wang, Jun 17 Chen, Haibo 17 Tavares, Hugo 17 Zhang, Wen 16 Fall, Mouhamed Moustapha 16 Mederski, Jarosław 16 Saldaña, Alberto 16 Zhang, Zhitao 16 Zhao, Fukun 15 Ma, Shiwang 15 Maia, Liliane A. 15 Zhang, Jian 14 Bonheure, Denis 14 Chen, Wenxiong 14 Rădulescu, Vicenţiu D. 14 Terracini, Susanna 14 Wu, Tsungfang 14 Zhang, Hui 13 Jarohs, Sven 13 Liu, Jiaquan 13 Liu, Zhaoli 13 Qin, Dongdong 13 Tang, Zhongwei 13 Van Schaftingen, Jean 13 Xu, Junxiang 12 Li, Quanqing 12 Moreira dos Santos, Ederson 12 Noris, Benedetta 12 Valdinoci, Enrico 12 Wu, Yuanze 11 Gazzola, Filippo 11 Yang, Minbo 11 Zhao, Leiga 10 Ackermann, Nils 10 Chen, Guanwei 10 Colasuonno, Francesca 10 D’Aprile, Teresa 10 Gladiali, Francesca 10 Ji, Chao 10 Li, Congming 10 Mandel, Rainer 10 Shuai, Wei 10 Szulkin, Andrzej 10 Verzini, Gianmaria 10 Wang, Wenbo 10 Zhou, Jun 9 Barrios Barrera, Begoña 9 Bieganowski, Bartosz 9 Cianchi, Andrea 9 Dai, Wei 9 Dipierro, Serena 9 Evéquoz, Gilles 9 Ianni, Isabella 9 Lin, Xiaoyan 9 Liu, Zuhan 9 Musso, Monica 9 Squassina, Marco 9 Wu, Xian 9 Yu, Yuanyang 9 Zhang, Jianjun 8 Chen, Shaowei 8 Chen, Zhijie 8 Da Silva, Edcarlos Domingos 8 Deng, Yinbin 8 Isernia, Teresa 8 Kim, Seunghyeok 8 Miyagaki, Olimpio Hiroshi 8 Molica Bisci, Giovanni 8 Papageorgiou, Nikolaos S. 8 Schechter, Martin 7 Amadori, Anna Lisa 7 Ben Ayed, Mohamed 7 Bobkov, Vladimir E. 7 Byeon, Jaeyoung 7 Cao, Daomin 7 Cassani, Daniele 7 Cingolani, Silvia 7 He, Tieshan 7 Huang, Yisheng 7 Jeanjean, Louis 7 Li, Yongkun ...and 1,174 more Authors
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### Cited in 171 Serials

 117 Journal of Mathematical Analysis and Applications 117 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 110 Journal of Differential Equations 102 Calculus of Variations and Partial Differential Equations 59 Communications on Pure and Applied Analysis 56 Discrete and Continuous Dynamical Systems 47 Journal of Functional Analysis 43 Journal of Mathematical Physics 36 ZAMP. Zeitschrift für angewandte Mathematik und Physik 36 Annali di Matematica Pura ed Applicata. Serie Quarta 36 Communications in Contemporary Mathematics 29 Advanced Nonlinear Studies 27 Boundary Value Problems 26 NoDEA. Nonlinear Differential Equations and Applications 25 Journal de Mathématiques Pures et Appliquées. Neuvième Série 25 Nonlinear Analysis. Real World Applications 25 Complex Variables and Elliptic Equations 24 Applicable Analysis 24 Computers & Mathematics with Applications 24 Advances in Nonlinear Analysis 23 Archive for Rational Mechanics and Analysis 23 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 21 Communications in Partial Differential Equations 20 Advances in Mathematics 19 Proceedings of the American Mathematical Society 18 Mathematical Methods in the Applied Sciences 17 Journal of Fixed Point Theory and Applications 15 Topological Methods in Nonlinear Analysis 15 Mediterranean Journal of Mathematics 14 Transactions of the American Mathematical Society 14 Applied Mathematics Letters 14 The Journal of Geometric Analysis 14 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 12 Nonlinearity 12 Mathematische Annalen 12 Science China. Mathematics 11 Abstract and Applied Analysis 11 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 10 SIAM Journal on Mathematical Analysis 10 Discrete and Continuous Dynamical Systems. Series S 9 Electronic Journal of Differential Equations (EJDE) 9 Minimax Theory and its Applications 7 Journal d’Analyse Mathématique 7 Rocky Mountain Journal of Mathematics 7 Manuscripta Mathematica 7 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 Communications in Mathematical Physics 6 Applied Mathematics and Computation 6 Archiv der Mathematik 6 Mathematische Nachrichten 6 Potential Analysis 6 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 6 Journal of the European Mathematical Society (JEMS) 6 Acta Mathematica Scientia. Series B. (English Edition) 6 Analysis and Mathematical Physics 6 SN Partial Differential Equations and Applications 5 Indiana University Mathematics Journal 5 Mathematische Zeitschrift 5 Monatshefte für Mathematik 5 Asymptotic Analysis 5 Journal of Applied Mathematics and Computing 5 Advances in Difference Equations 5 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 5 Journal of Function Spaces 5 AIMS Mathematics 4 Proceedings of the Edinburgh Mathematical Society. Series II 4 Acta Mathematicae Applicatae Sinica. English Series 4 Bulletin des Sciences Mathématiques 4 Acta Mathematica Sinica. English Series 4 Journal of Applied Analysis and Computation 4 Electronic Research Archive 3 Indian Journal of Pure & Applied Mathematics 3 Results in Mathematics 3 Acta Applicandae Mathematicae 3 Revista Matemática Iberoamericana 3 International Journal of Mathematics 3 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 3 Journal of Dynamics and Differential Equations 3 Turkish Journal of Mathematics 3 Taiwanese Journal of Mathematics 3 Fractional Calculus & Applied Analysis 3 Discrete and Continuous Dynamical Systems. Series B 3 Journal of the Australian Mathematical Society 3 Milan Journal of Mathematics 3 Frontiers of Mathematics in China 3 Analysis & PDE 3 Journal of Nonlinear Science and Applications 3 Annals of Functional Analysis 2 Bulletin of the Australian Mathematical Society 2 Israel Journal of Mathematics 2 Mathematical Notes 2 Applied Mathematics and Optimization 2 Journal of the Korean Mathematical Society 2 Journal of the London Mathematical Society. Second Series 2 Journal of Optimization Theory and Applications 2 Journal für die Reine und Angewandte Mathematik 2 Pacific Journal of Mathematics 2 Proceedings of the London Mathematical Society. Third Series 2 Chinese Annals of Mathematics. Series B 2 SIAM Journal on Applied Mathematics ...and 71 more Serials
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### Cited in 36 Fields

 1,543 Partial differential equations (35-XX) 149 Global analysis, analysis on manifolds (58-XX) 90 Operator theory (47-XX) 83 Calculus of variations and optimal control; optimization (49-XX) 41 Quantum theory (81-XX) 39 Functional analysis (46-XX) 35 Ordinary differential equations (34-XX) 34 Dynamical systems and ergodic theory (37-XX) 31 Real functions (26-XX) 31 Potential theory (31-XX) 31 Integral equations (45-XX) 30 Differential geometry (53-XX) 22 Fluid mechanics (76-XX) 22 Optics, electromagnetic theory (78-XX) 21 Statistical mechanics, structure of matter (82-XX) 14 Numerical analysis (65-XX) 13 Difference and functional equations (39-XX) 12 Probability theory and stochastic processes (60-XX) 10 Mechanics of particles and systems (70-XX) 10 Mechanics of deformable solids (74-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 8 Biology and other natural sciences (92-XX) 6 Algebraic topology (55-XX) 4 Abstract harmonic analysis (43-XX) 4 Relativity and gravitational theory (83-XX) 3 Measure and integration (28-XX) 2 Topological groups, Lie groups (22-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX)