## Toland, John Francis

Compute Distance To:
 Author ID: toland.john-francis Published as: Toland, J. F.; Toland, John F.; Toland, John; Toland, John Francis; Toland, J. more...less External Links: MGP · Wikidata · GND · IdRef
 Documents Indexed: 108 Publications since 1973, including 4 Books Reviewing Activity: 107 Reviews Co-Authors: 32 Co-Authors with 67 Joint Publications 646 Co-Co-Authors
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### Co-Authors

 41 single-authored 13 Amick, Charles J. 11 Buffoni, Boris 11 Plotnikov, Pavel I. 7 Dancer, Edward Norman 4 Stuart, Charles Alexander 3 Champneys, Alan R. 3 Iooss, Gérard 3 Shargorodsky, Eugene 2 Baldi, Pietro 2 Groves, Mark D. 2 Hofer, Helmut H. W. 2 Jones, Mark Christopher W. 2 Séré, Eric 2 Williams, David 1 Albert, John P. 1 Burton, Geoffrey R. 1 Crispin, D. J. 1 Crooks, Elaine C. M. 1 Fraenkel, L. Edward 1 Harris, Simon C. 1 Haziot, Susanna V. 1 Hur, Vera Mikyoung 1 Jeanjean, Louis 1 Lilli, Markus 1 Mestel, Ben D. 1 Strauss, Walter Alexander 1 Tertikas, Achilles 1 Wahlén, Erik 1 Walsh, Samuel 1 Warren, Jon 1 Wheeler, Miles H. 1 Willis, John Raymond
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### Serials

 12 Archive for Rational Mechanics and Analysis 5 Journal of Differential Equations 4 Journal of Functional Analysis 4 Journal of the London Mathematical Society. Second Series 4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 4 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Proceedings of the London Mathematical Society. Third Series 3 The Quarterly Journal of Mathematics. Oxford Second Series 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Calculus of Variations and Partial Differential Equations 3 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 2 Acta Mathematica 2 Mathematische Annalen 2 SIAM Journal on Mathematical Analysis 2 Topological Methods in Nonlinear Analysis 2 Discrete and Continuous Dynamical Systems 2 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Communications in Mathematical Physics 1 Communications on Pure and Applied Mathematics 1 IMA Journal of Applied Mathematics 1 Journal of Mathematical Analysis and Applications 1 Nonlinearity 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Arkiv för Matematik 1 Journal of Geometry and Physics 1 Bulletin of the London Mathematical Society 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Zeitschrift 1 Memoirs of the American Mathematical Society 1 Philosophical Transactions of the Royal Society of London. Ser. A 1 Quarterly of Applied Mathematics 1 Transactions of the American Mathematical Society 1 Delft Progress Report 1 European Journal of Applied Mathematics 1 Differential and Integral Equations 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Journal of Dynamics and Differential Equations 1 Philosophical Transactions of the Royal Society of London. Series A 1 European Mathematical Society Newsletter 1 Doklady Mathematics 1 Far East Journal of Applied Mathematics 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Interfaces and Free Boundaries 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Bulletin de la Société Mathématique de France. Supplément. Mémoires 1 Cahiers Mathématiques de l’École Polytechnique Fédérale de Lausanne 1 Nonlinear Analysis. Theory, Methods & Applications 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 SpringerBriefs in Mathematics 1 Princeton Series in Applied Mathematics 1 Electronic Research Archive
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### Fields

 49 Fluid mechanics (76-XX) 47 Partial differential equations (35-XX) 26 Ordinary differential equations (34-XX) 24 Dynamical systems and ergodic theory (37-XX) 19 Operator theory (47-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 7 Mechanics of deformable solids (74-XX) 5 Functional analysis (46-XX) 4 Functions of a complex variable (30-XX) 4 Integral equations (45-XX) 4 Algebraic topology (55-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 General topology (54-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Geophysics (86-XX) 2 Real functions (26-XX) 2 Integral transforms, operational calculus (44-XX) 2 Mechanics of particles and systems (70-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Operations research, mathematical programming (90-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Probability theory and stochastic processes (60-XX) 1 Optics, electromagnetic theory (78-XX) 1 Systems theory; control (93-XX)

### Citations contained in zbMATH Open

95 Publications have been cited 1,913 times in 1,235 Documents Cited by Year
Stokes waves. Zbl 0897.35067
Toland, J. F.
1996
On the Stokes conjecture for the wave of extreme form. Zbl 0495.76021
Amick, C. J.; Fraenkel, L. E.; Toland, J. F.
1982
On solitary water-waves of finite amplitude. Zbl 0468.76025
Amick, C. J.; Toland, J. F.
1981
Analytic theory of global bifurcation. An introduction. Zbl 1021.47044
Buffoni, Boris; Toland, John
2003
Duality in nonconvex optimization. Zbl 0403.90066
Toland, J. F.
1978
A duality principle for non-convex optimisation and the calculus of variations. Zbl 0411.49012
Toland, J. F.
1979
Bifurcation and coalescence of a plethora of homoclinic orbits for a Hamiltonian system. Zbl 0854.34047
Buffoni, B.; Champneys, A. R.; Toland, J. F.
1996
Uniqueness and related analytic properties for the Benjamin-Ono equation – A nonlinear Neumann problem in the plane. Zbl 0755.35108
Amick, C. J.; Toland, J. F.
1991
Standing waves on an infinitely deep perfect fluid under gravity. Zbl 1176.76017
Iooss, G.; Plotnikov, P. I.; Toland, J. F.
2005
On periodic water-waves and their convergence to solitary waves in the long-wave limit. Zbl 0482.76029
Amick, C. J.; Toland, J. F.
1981
On the existence of a wave of greatest height and Stokes’s conjecture. Zbl 0388.76016
Toland, J. F.
1978
A plethora of solitary gravity-capillary water waves with nearly critical Bond and Froude numbers. Zbl 0861.76012
Buffoni, B.; Groves, M. D.; Toland, J. F.
1996
Bounded Palais-Smale mountain-pass sequences. Zbl 0996.47052
Jeanjean, Louis; Toland, John Francis
1998
The bifurcation and secondary bifurcation of capillary-gravity waves. Zbl 0575.76023
Toland, J. F.; Jones, M. C. W.
1985
The sub-harmonic bifurcation of Stokes waves. Zbl 0962.76012
Buffoni, B.; Dancer, E. N.; Toland, J. F.
2000
Homoclinic orbits in the dynamic phase-space analogy of an elastic strut. Zbl 0755.73023
Amick, C. J.; Toland, J. F.
1992
Symmetry and the bifurcation of capillary-gravity waves. Zbl 0615.76023
Jones, Mark; Toland, John
1986
Bifurcation of a plethora of multi-modal homoclinic orbits for autonomous Hamiltonian systems. Zbl 0789.58035
Champneys, A. R.; Toland, J. F.
1993
The regularity and local bifurcation of steady periodic water waves. Zbl 0959.76010
Buffoni, B.; Dancer, E. N.; Toland, J. F.
2000
The Peierls-Nabarro and Benjamin-Ono equations. Zbl 0876.35106
Toland, J. F.
1997
Modelling nonlinear hydroelastic waves. Zbl 1228.76027
Plotnikov, P. I.; Toland, J. F.
2011
Nash-Moser theory for standing water waves. Zbl 1033.76005
Plotnikov, P. I.; Toland, J. F.
2001
Convexity of Stokes waves of extreme form. Zbl 1064.76017
Plotnikov, P. I.; Toland, J. F.
2004
A variational method for boundary value problems with discontinuous nonlinearities. Zbl 0434.35042
Stuart, C. A.; Toland, J. F.
1980
Asymptotic linearity and nonlinear eigenvalue problems. Zbl 0256.47049
Toland, John F.
1973
Homoclinic, heteroclinic, and periodic orbits for a class of indefinite Hamiltonian systems. Zbl 0569.70017
Hofer, Helmut; Toland, John
1984
Steady periodic hydroelastic waves. Zbl 1147.76008
Toland, J. F.
2008
Solitary waves with surface tension. I: Trajectories homoclinic to periodic orbits in four dimensions. Zbl 0759.76015
Amick, C. J.; Toland, J. F.
1992
Algebra, analysis and probability for a coupled system of reaction- diffusion equations. Zbl 0824.60070
Champneys, Alan; Harris, Simon; Toland, John; Warren, Jonathan; Williams, David
1995
On variational formulations for steady water waves. Zbl 0888.76008
Groves, Mark D.; Toland, John F.
1997
Global bifurcation theory via Galerkin’s method. Zbl 0477.47036
Toland, J. F.
1977
On subdifferential calculus and duality in non-convex optimization. Zbl 0417.90088
Toland, John F.
1979
Heavy hydroelastic travelling waves. Zbl 1187.74061
Toland, J. F.
2007
Uniqueness of positive solutions of some semilinear Sturm-Liouville problems on the half line. Zbl 0545.34013
Toland, J. F.
1984
Bernoulli free-boundary problems. Zbl 1167.35001
Shargorodsky, E.; Toland, J. F.
2008
A global result applicable to non-linear Steklov problems. Zbl 0276.35037
Stuart, C. A.; Toland, J. F.
1974
Travelling waves for reaction-diffusion-convection systems. Zbl 0920.35075
Crooks, E. C. M.; Toland, J. F.
1998
On positive solutions of -Delta(u)=F(x,u). Zbl 0491.35048
Toland, John F.
1983
Stokes waves in Hardy spaces and as distributions. Zbl 0976.35052
Toland, J. F.
2000
Uniqueness of Benjamin’s solitary-wave solution of the Benjamin-Ono equation. Zbl 0735.35105
Amick, C. J.; Toland, J. F.
1991
Steady periodic water waves under nonlinear elastic membranes. Zbl 1277.35281
Baldi, Pietro; Toland, John F.
2011
Nonlinear elliptic eigenvalue problems on an infinite strip-global theory of bifurcation and asymptotic bifurcation. Zbl 0489.35067
Amick, C. J.; Toland, J. F.
1983
Bifurcation and asymptotic bifurcation for non-compact non-symmetric gradient operators. Zbl 0341.47042
Toland, J. F.
1975
Global bifurcation for Neumann problems without eigenvalues. Zbl 0455.34015
Toland, J. F.
1982
The semi-analytic theory of standing waves. Zbl 0628.76016
Amick, C. J.; Toland, J. F.
1987
Solitary wave solutions for a model of the two-way propagation of water waves in a channel. Zbl 0474.76032
Toland, J. F.
1981
Surface waves on steady perfect-fluid flows with vorticity. Zbl 1277.35284
Burton, G. R.; Toland, J. F.
2011
On a pseudo-differential equation for Stokes waves. Zbl 1028.35126
Toland, J. F.
2002
On the symmetry theory for Stokes waves of finite and infinite depth. Zbl 0990.76009
Toland, J. F.
2000
Minimization methods for quasi-linear problems with an application to periodic water waves. Zbl 1077.76058
Buffoni, B.; Séré, É.; Toland, J. F.
2005
Surface water waves as saddle points of the energy. Zbl 1222.76019
Buffoni, B.; Séré, É.; Toland, J. F.
2003
Existence and uniqueness of heteroclinic orbits for the equation $$\lambda u'''+u'=f(u)$$. Zbl 0673.34022
Toland, J. F.
1988
A Leray-Schauder degree calculation leading to non-standard global bifurcation results. Zbl 0488.55004
Toland, J. F.
1983
Positive solutions of nonlinear elliptic equations-existence and nonexistence of solutions with radial symmetry in $$L_ p({\mathbb{R}}^ N)$$. Zbl 0549.35039
Toland, J. F.
1984
A property of solutions of elliptic differential equations with discontinuous nonlinearities. Zbl 0434.35043
Stuart, C. A.; Toland, J. F.
1980
The fixed point index of a linear k-set contraction. Zbl 0252.47064
Stuart, C. A.; Toland, J. F.
1973
Bifurcation and secondary bifurcation of heavy periodic hydroelastic travelling waves. Zbl 1191.35273
Baldi, Pietro; Toland, John F.
2010
The index change and global bifurcation for flows with a first integral. Zbl 0793.34025
Dancer, E. N.; Toland, J. F.
1993
On the exact solutions of the intermediate long-wave equation. Zbl 0937.35142
Albert, J. P.; Toland, J. F.
1994
On the stability of rotating heavy chains. Zbl 0372.49016
Toland, J. F.
1979
Existence of symmetric homoclinic orbits for systems of Euler-Lagrange equations. Zbl 0589.34029
Toland, J. F.
1986
Duality for families of natural variational principles in nonlinear electrostatics. Zbl 0682.49017
Toland, J. F.; Willis, J. R.
1989
Riemann-Hilbert and variational structure for standing waves. Zbl 1252.37053
Toland, J. F.; Iooss, G.
2004
Global existence of homoclinic and periodic orbits for a class of autonomous Hamiltonian systems. Zbl 0828.34032
Buffoni, B.; Toland, J. F.
1995
Self-adjoint operators and cones. Zbl 0858.47016
Toland, J. F.
1996
Uniqueness and a priori bounds for certain homoclinic orbits of a Boussinesq system modelling solitary water waves. Zbl 0557.76028
Toland, J. F.
1984
The Fourier coefficients of Stokes’ waves. Zbl 1046.35090
Plotnikov, Pavel I.; Toland, John F.
2002
Free oscillations of prescribed energy at a saddle point of the potential in Hamiltonian dynamics. Zbl 0592.70020
Hofer, Helmut; Toland, John
1985
The limiting form of internal waves. Zbl 0553.76018
Amick, C. J.; Toland, J. F.
1984
On Stokes waves and a conjecture of Levi-Civita. (Sur les ondes de Stokes et une conjecture de Levi-Civita.) Zbl 0913.35106
Buffoni, Boris; Dancer, Edward Norman; Toland, John Francis
1998
Global uniqueness of homoclinic orbits for a class of fourth order equations. Zbl 0766.34027
Amick, C. J.; Toland, J. F.
1992
Points of egress in problems of Hamiltonian dynamics. Zbl 0728.58012
Amick, C. J.; Toland, J. F.
1991
Global bifurcation for k-set contractions without multiplicity assumptions. Zbl 0331.47031
Toland, J. F.
1976
A few remarks about the Hilbert transform. Zbl 0898.46042
Toland, J. F.
1997
Riemann-Hilbert theory for problems with vanishing coefficients that arise in nonlinear hydrodynamics. Zbl 1030.30038
Shargorodsky, E.; Toland, J. F.
2003
Non-existence of global energy minimisers in Stokes waves problems. Zbl 1292.76024
Toland, J. F.
2014
Strain-gradient theory of hydroelastic travelling waves and Young measures of their singular limits. Zbl 1243.35180
Plotnikov, P. I.; Toland, J. F.
2012
An index for Hamiltonian systems with a natural order structure. Zbl 0606.58023
Toland, J. F.
1986
Periodic solutions for a class of Lorenz-Lagrangian systems. Zbl 0657.34042
Toland, J. F.
1988
Degree theory for orbits of prescribed period of flows with a first integral. Zbl 0671.58033
Toland, J. F.; Dancer, E. N.
1990
Singular elliptic eigenvalue problems for equations and systems. Zbl 0542.35036
Toland, J. F.
1983
Graph intersection and uniqueness results for some nonlinear elliptic problems. Zbl 0790.34024
Tertikas, A.; Toland, J. F.
1992
Asymptotic linearity and nonlinear eigenvalue problems. II. Zbl 0353.34022
Toland, J. F.
1977
Dual free boundaries for Stokes waves. Zbl 1030.76010
Buffoni, Boris; Toland, John Francis
2001
A Riemann-Hilbert problem and the Bernoulli boundary condition in the variational theory of Stokes waves. Zbl 1045.35113
Shargorodsky, E.; Toland, J. F.
2003
Waves on a steady stream with vorticity. Zbl 1155.35497
Lilli, M.; Toland, J. F.
2008
Energy-minimising parallel flows with prescribed vorticity distribution. Zbl 1292.76023
Toland, J. F.
2014
Standing waves on infinite depth. Zbl 1034.76010
Iooss, Gérard; Plotnikov, Pavel; Toland, John
2004
A necessary geometric condition for the existence of certain homoclinic orbits. Zbl 0619.34043
Toland, J. F.
1986
Equilibrium states in the degree theory of periodic orbits with a first integral. Zbl 0749.34024
Dancer, E. N.; Toland, J. F.
1991
A differential equation in the theory of resonant oscillations of water waves. Zbl 0719.34073
Amick, C. J.; Toland, J. F.
1990
Asymptotic linearity and a class of nonlinear Sturm-Liouville problems on the half line. Zbl 0321.47045
Toland, J. F.
1974
Galerkin’s method, monotonicity and linking for indefinite Hamiltonian systems with bounded potential energy. Zbl 1065.37042
Crispin, D. J.; Toland, J. F.
2005
Phase transitions with a minimal number of jumps in the singular limits of higher order theories. Zbl 1192.82034
Plotnikov, P. I.; Toland, J. F.
2010
The dual of $$L _\infty (X,\mathcal{L}, \lambda)$$, finitely additive measures and weak convergence. A primer. Zbl 1448.46003
Toland, John
2020
The dual of $$L _\infty (X,\mathcal{L}, \lambda)$$, finitely additive measures and weak convergence. A primer. Zbl 1448.46003
Toland, John
2020
Non-existence of global energy minimisers in Stokes waves problems. Zbl 1292.76024
Toland, J. F.
2014
Energy-minimising parallel flows with prescribed vorticity distribution. Zbl 1292.76023
Toland, J. F.
2014
Strain-gradient theory of hydroelastic travelling waves and Young measures of their singular limits. Zbl 1243.35180
Plotnikov, P. I.; Toland, J. F.
2012
Modelling nonlinear hydroelastic waves. Zbl 1228.76027
Plotnikov, P. I.; Toland, J. F.
2011
Steady periodic water waves under nonlinear elastic membranes. Zbl 1277.35281
Baldi, Pietro; Toland, John F.
2011
Surface waves on steady perfect-fluid flows with vorticity. Zbl 1277.35284
Burton, G. R.; Toland, J. F.
2011
Bifurcation and secondary bifurcation of heavy periodic hydroelastic travelling waves. Zbl 1191.35273
Baldi, Pietro; Toland, John F.
2010
Phase transitions with a minimal number of jumps in the singular limits of higher order theories. Zbl 1192.82034
Plotnikov, P. I.; Toland, J. F.
2010
Steady periodic hydroelastic waves. Zbl 1147.76008
Toland, J. F.
2008
Bernoulli free-boundary problems. Zbl 1167.35001
Shargorodsky, E.; Toland, J. F.
2008
Waves on a steady stream with vorticity. Zbl 1155.35497
Lilli, M.; Toland, J. F.
2008
Heavy hydroelastic travelling waves. Zbl 1187.74061
Toland, J. F.
2007
Standing waves on an infinitely deep perfect fluid under gravity. Zbl 1176.76017
Iooss, G.; Plotnikov, P. I.; Toland, J. F.
2005
Minimization methods for quasi-linear problems with an application to periodic water waves. Zbl 1077.76058
Buffoni, B.; Séré, É.; Toland, J. F.
2005
Galerkin’s method, monotonicity and linking for indefinite Hamiltonian systems with bounded potential energy. Zbl 1065.37042
Crispin, D. J.; Toland, J. F.
2005
Convexity of Stokes waves of extreme form. Zbl 1064.76017
Plotnikov, P. I.; Toland, J. F.
2004
Riemann-Hilbert and variational structure for standing waves. Zbl 1252.37053
Toland, J. F.; Iooss, G.
2004
Standing waves on infinite depth. Zbl 1034.76010
Iooss, Gérard; Plotnikov, Pavel; Toland, John
2004
Analytic theory of global bifurcation. An introduction. Zbl 1021.47044
Buffoni, Boris; Toland, John
2003
Surface water waves as saddle points of the energy. Zbl 1222.76019
Buffoni, B.; Séré, É.; Toland, J. F.
2003
Riemann-Hilbert theory for problems with vanishing coefficients that arise in nonlinear hydrodynamics. Zbl 1030.30038
Shargorodsky, E.; Toland, J. F.
2003
A Riemann-Hilbert problem and the Bernoulli boundary condition in the variational theory of Stokes waves. Zbl 1045.35113
Shargorodsky, E.; Toland, J. F.
2003
On a pseudo-differential equation for Stokes waves. Zbl 1028.35126
Toland, J. F.
2002
The Fourier coefficients of Stokes’ waves. Zbl 1046.35090
Plotnikov, Pavel I.; Toland, John F.
2002
Nash-Moser theory for standing water waves. Zbl 1033.76005
Plotnikov, P. I.; Toland, J. F.
2001
Dual free boundaries for Stokes waves. Zbl 1030.76010
Buffoni, Boris; Toland, John Francis
2001
The sub-harmonic bifurcation of Stokes waves. Zbl 0962.76012
Buffoni, B.; Dancer, E. N.; Toland, J. F.
2000
The regularity and local bifurcation of steady periodic water waves. Zbl 0959.76010
Buffoni, B.; Dancer, E. N.; Toland, J. F.
2000
Stokes waves in Hardy spaces and as distributions. Zbl 0976.35052
Toland, J. F.
2000
On the symmetry theory for Stokes waves of finite and infinite depth. Zbl 0990.76009
Toland, J. F.
2000
Bounded Palais-Smale mountain-pass sequences. Zbl 0996.47052
Jeanjean, Louis; Toland, John Francis
1998
Travelling waves for reaction-diffusion-convection systems. Zbl 0920.35075
Crooks, E. C. M.; Toland, J. F.
1998
On Stokes waves and a conjecture of Levi-Civita. (Sur les ondes de Stokes et une conjecture de Levi-Civita.) Zbl 0913.35106
Buffoni, Boris; Dancer, Edward Norman; Toland, John Francis
1998
The Peierls-Nabarro and Benjamin-Ono equations. Zbl 0876.35106
Toland, J. F.
1997
On variational formulations for steady water waves. Zbl 0888.76008
Groves, Mark D.; Toland, John F.
1997
A few remarks about the Hilbert transform. Zbl 0898.46042
Toland, J. F.
1997
Stokes waves. Zbl 0897.35067
Toland, J. F.
1996
Bifurcation and coalescence of a plethora of homoclinic orbits for a Hamiltonian system. Zbl 0854.34047
Buffoni, B.; Champneys, A. R.; Toland, J. F.
1996
A plethora of solitary gravity-capillary water waves with nearly critical Bond and Froude numbers. Zbl 0861.76012
Buffoni, B.; Groves, M. D.; Toland, J. F.
1996
Self-adjoint operators and cones. Zbl 0858.47016
Toland, J. F.
1996
Algebra, analysis and probability for a coupled system of reaction- diffusion equations. Zbl 0824.60070
Champneys, Alan; Harris, Simon; Toland, John; Warren, Jonathan; Williams, David
1995
Global existence of homoclinic and periodic orbits for a class of autonomous Hamiltonian systems. Zbl 0828.34032
Buffoni, B.; Toland, J. F.
1995
On the exact solutions of the intermediate long-wave equation. Zbl 0937.35142
Albert, J. P.; Toland, J. F.
1994
Bifurcation of a plethora of multi-modal homoclinic orbits for autonomous Hamiltonian systems. Zbl 0789.58035
Champneys, A. R.; Toland, J. F.
1993
The index change and global bifurcation for flows with a first integral. Zbl 0793.34025
Dancer, E. N.; Toland, J. F.
1993
Homoclinic orbits in the dynamic phase-space analogy of an elastic strut. Zbl 0755.73023
Amick, C. J.; Toland, J. F.
1992
Solitary waves with surface tension. I: Trajectories homoclinic to periodic orbits in four dimensions. Zbl 0759.76015
Amick, C. J.; Toland, J. F.
1992
Global uniqueness of homoclinic orbits for a class of fourth order equations. Zbl 0766.34027
Amick, C. J.; Toland, J. F.
1992
Graph intersection and uniqueness results for some nonlinear elliptic problems. Zbl 0790.34024
Tertikas, A.; Toland, J. F.
1992
Uniqueness and related analytic properties for the Benjamin-Ono equation – A nonlinear Neumann problem in the plane. Zbl 0755.35108
Amick, C. J.; Toland, J. F.
1991
Uniqueness of Benjamin’s solitary-wave solution of the Benjamin-Ono equation. Zbl 0735.35105
Amick, C. J.; Toland, J. F.
1991
Points of egress in problems of Hamiltonian dynamics. Zbl 0728.58012
Amick, C. J.; Toland, J. F.
1991
Equilibrium states in the degree theory of periodic orbits with a first integral. Zbl 0749.34024
Dancer, E. N.; Toland, J. F.
1991
Degree theory for orbits of prescribed period of flows with a first integral. Zbl 0671.58033
Toland, J. F.; Dancer, E. N.
1990
A differential equation in the theory of resonant oscillations of water waves. Zbl 0719.34073
Amick, C. J.; Toland, J. F.
1990
Duality for families of natural variational principles in nonlinear electrostatics. Zbl 0682.49017
Toland, J. F.; Willis, J. R.
1989
Existence and uniqueness of heteroclinic orbits for the equation $$\lambda u'''+u'=f(u)$$. Zbl 0673.34022
Toland, J. F.
1988
Periodic solutions for a class of Lorenz-Lagrangian systems. Zbl 0657.34042
Toland, J. F.
1988
The semi-analytic theory of standing waves. Zbl 0628.76016
Amick, C. J.; Toland, J. F.
1987
Symmetry and the bifurcation of capillary-gravity waves. Zbl 0615.76023
Jones, Mark; Toland, John
1986
Existence of symmetric homoclinic orbits for systems of Euler-Lagrange equations. Zbl 0589.34029
Toland, J. F.
1986
An index for Hamiltonian systems with a natural order structure. Zbl 0606.58023
Toland, J. F.
1986
A necessary geometric condition for the existence of certain homoclinic orbits. Zbl 0619.34043
Toland, J. F.
1986
The bifurcation and secondary bifurcation of capillary-gravity waves. Zbl 0575.76023
Toland, J. F.; Jones, M. C. W.
1985
Free oscillations of prescribed energy at a saddle point of the potential in Hamiltonian dynamics. Zbl 0592.70020
Hofer, Helmut; Toland, John
1985
Homoclinic, heteroclinic, and periodic orbits for a class of indefinite Hamiltonian systems. Zbl 0569.70017
Hofer, Helmut; Toland, John
1984
Uniqueness of positive solutions of some semilinear Sturm-Liouville problems on the half line. Zbl 0545.34013
Toland, J. F.
1984
Positive solutions of nonlinear elliptic equations-existence and nonexistence of solutions with radial symmetry in $$L_ p({\mathbb{R}}^ N)$$. Zbl 0549.35039
Toland, J. F.
1984
Uniqueness and a priori bounds for certain homoclinic orbits of a Boussinesq system modelling solitary water waves. Zbl 0557.76028
Toland, J. F.
1984
The limiting form of internal waves. Zbl 0553.76018
Amick, C. J.; Toland, J. F.
1984
On positive solutions of -Delta(u)=F(x,u). Zbl 0491.35048
Toland, John F.
1983
Nonlinear elliptic eigenvalue problems on an infinite strip-global theory of bifurcation and asymptotic bifurcation. Zbl 0489.35067
Amick, C. J.; Toland, J. F.
1983
A Leray-Schauder degree calculation leading to non-standard global bifurcation results. Zbl 0488.55004
Toland, J. F.
1983
Singular elliptic eigenvalue problems for equations and systems. Zbl 0542.35036
Toland, J. F.
1983
On the Stokes conjecture for the wave of extreme form. Zbl 0495.76021
Amick, C. J.; Fraenkel, L. E.; Toland, J. F.
1982
Global bifurcation for Neumann problems without eigenvalues. Zbl 0455.34015
Toland, J. F.
1982
On solitary water-waves of finite amplitude. Zbl 0468.76025
Amick, C. J.; Toland, J. F.
1981
On periodic water-waves and their convergence to solitary waves in the long-wave limit. Zbl 0482.76029
Amick, C. J.; Toland, J. F.
1981
Solitary wave solutions for a model of the two-way propagation of water waves in a channel. Zbl 0474.76032
Toland, J. F.
1981
A variational method for boundary value problems with discontinuous nonlinearities. Zbl 0434.35042
Stuart, C. A.; Toland, J. F.
1980
A property of solutions of elliptic differential equations with discontinuous nonlinearities. Zbl 0434.35043
Stuart, C. A.; Toland, J. F.
1980
A duality principle for non-convex optimisation and the calculus of variations. Zbl 0411.49012
Toland, J. F.
1979
On subdifferential calculus and duality in non-convex optimization. Zbl 0417.90088
Toland, John F.
1979
On the stability of rotating heavy chains. Zbl 0372.49016
Toland, J. F.
1979
Duality in nonconvex optimization. Zbl 0403.90066
Toland, J. F.
1978
On the existence of a wave of greatest height and Stokes’s conjecture. Zbl 0388.76016
Toland, J. F.
1978
Global bifurcation theory via Galerkin’s method. Zbl 0477.47036
Toland, J. F.
1977
Asymptotic linearity and nonlinear eigenvalue problems. II. Zbl 0353.34022
Toland, J. F.
1977
Global bifurcation for k-set contractions without multiplicity assumptions. Zbl 0331.47031
Toland, J. F.
1976
Bifurcation and asymptotic bifurcation for non-compact non-symmetric gradient operators. Zbl 0341.47042
Toland, J. F.
1975
A global result applicable to non-linear Steklov problems. Zbl 0276.35037
Stuart, C. A.; Toland, J. F.
1974
Asymptotic linearity and a class of nonlinear Sturm-Liouville problems on the half line. Zbl 0321.47045
Toland, J. F.
1974
Asymptotic linearity and nonlinear eigenvalue problems. Zbl 0256.47049
Toland, John F.
1973
The fixed point index of a linear k-set contraction. Zbl 0252.47064
Stuart, C. A.; Toland, J. F.
1973
all top 5

### Cited by 1,160 Authors

 47 Yin, Zhaoyang 45 Toland, John Francis 22 Constantin, Adrian 19 Liu, Yue 16 Amick, Charles J. 16 Montalto, Riccardo 14 Ehrnström, Mats 13 Escher, Joachim 13 Matioc, Bogdan-Vasile 13 Mu, Chunlai 13 Tang, Xianhua 13 Vanden-Broeck, Jean-Marc 12 Berti, Massimiliano 12 Chen, Robin Ming 12 Henry, David 12 Hur, Vera Mikyoung 12 Strauss, Walter Alexander 12 Walsh, Samuel 11 Baldi, Pietro 11 Groves, Mark D. 11 Jones, Mark Christopher W. 10 Li, Jinlu 10 Martin, Calin-Iulian 10 Mi, Yongsheng 10 Părău, Emilian I. 10 Wahlén, Erik 9 Basu, Biswajit 9 Dancer, Edward Norman 9 Grimshaw, Roger Hamilton James 9 Iooss, Gérard 9 Kozlov, Vladimir A. 9 Kuznetsov, Nikolai Germanovich 9 Liu, Xingxing 9 Milewski, Paul A. 9 Plotnikov, Pavel I. 9 Qu, Changzheng 9 Wheeler, Miles H. 8 Ambrose, David M. 8 Champneys, Alan R. 8 Chen, Sitong 8 Vărvărucă, Eugen 8 Wang, Zhan 7 Dias, Frédéric 7 Dietrich, Helmut 7 Il’ichev, Andreĭ Teĭmurazovich 7 Matioc, Anca-Voichita 7 Stuart, Charles Alexander 7 van den Berg, Jan Bouwe 7 Yan, Kai 6 Akers, Benjamin F. 6 Bambusi, Dario 6 Barrios Barrera, Begoña 6 Bartolucci, Daniele 6 Buffoni, Boris 6 Deng, Shengfu 6 Kaikina, Elena Igorevna 6 Luo, Wei 6 Shen, Chunyu 6 Tian, Lixin 6 Volle, Michel 6 Weiss, Georg Sebastian 6 Zhu, Weipeng 5 Chen, Chaonien 5 Dougalis, Vassilios A. 5 Duran, Angel 5 Genoud, François 5 Gui, Guilong 5 Guo, Boling 5 Hsu, Hung-Chu 5 Mitsotakis, Dimitrios E. 5 Procesi, Michela 5 Saut, Jean-Claude 5 Swanson, Charles A. 5 Tu, Xi 5 Turner, Robert E. L. 5 Welsh, Stewart C. 5 Wilkening, Jon A. 5 Wright, J. Douglas 5 Zheng, Rudong 5 Zhou, Shouming 4 Bridges, Thomas J. 4 Burton, Geoffrey R. 4 Cappiello, Marco 4 Chu, Jifeng 4 Clamond, Didier 4 Faver, Timothy E. 4 Fraenkel, L. Edward 4 Frank, Rupert L. 4 Fu, Ying 4 Gao, David Yang 4 Gao, Tao 4 Giacomoni, Jacques 4 Halidias, Nikolaos 4 Harris, Simon C. 4 Himonas, A. Alexandrou 4 Horst, Reiner 4 Ionescu-Kruse, Delia 4 Kaźmierczak, Bogdan 4 Kogelbauer, Florian 4 Kurzke, Matthias W. ...and 1,060 more Authors
all top 5

### Cited in 230 Serials

 97 Journal of Differential Equations 66 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 48 Journal of Mathematical Analysis and Applications 44 Archive for Rational Mechanics and Analysis 44 Discrete and Continuous Dynamical Systems 40 Journal of Fluid Mechanics 32 Physica D 26 Nonlinear Analysis. Theory, Methods & Applications 25 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 23 Calculus of Variations and Partial Differential Equations 21 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 20 Applicable Analysis 20 Journal of Mathematical Physics 19 Communications in Mathematical Physics 18 Journal of Mathematical Fluid Mechanics 17 Transactions of the American Mathematical Society 17 Journal of Global Optimization 16 Nonlinear Analysis. Real World Applications 15 Journal of Nonlinear Mathematical Physics 14 Wave Motion 14 Journal of Functional Analysis 14 SIAM Journal on Mathematical Analysis 13 Mathematische Annalen 13 Studies in Applied Mathematics 13 Journal of Dynamics and Differential Equations 13 European Journal of Mechanics. B. Fluids 11 Monatshefte für Mathematik 11 Quarterly of Applied Mathematics 11 Optimization 11 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 10 Applied Mathematics and Computation 10 Journal of Optimization Theory and Applications 10 Journal of Nonlinear Science 10 Comptes Rendus. Mathématique. Académie des Sciences, Paris 9 ZAMP. Zeitschrift für angewandte Mathematik und Physik 9 Advances in Mathematics 9 NoDEA. Nonlinear Differential Equations and Applications 9 Communications on Pure and Applied Analysis 7 Mathematical Methods in the Applied Sciences 7 Mathematical Programming. Series A. Series B 6 Nonlinearity 6 Proceedings of the American Mathematical Society 6 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 6 Advances in Nonlinear Analysis 6 Water Waves 5 Communications on Pure and Applied Mathematics 5 Journal of Computational Physics 5 Journal of the Mechanics and Physics of Solids 5 Acta Mathematica 5 Mathematics and Computers in Simulation 5 Mathematische Zeitschrift 5 Communications in Partial Differential Equations 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 Bulletin of the American Mathematical Society. New Series 5 SIAM Journal on Optimization 5 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 5 Journal of Fixed Point Theory and Applications 4 Journal of Engineering Mathematics 4 Journal of Statistical Physics 4 Mathematical Proceedings of the Cambridge Philosophical Society 4 Chaos, Solitons and Fractals 4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 4 Duke Mathematical Journal 4 Inventiones Mathematicae 4 Applied Mathematics Letters 4 European Journal of Applied Mathematics 4 Physics of Fluids 4 Communications in Contemporary Mathematics 4 Journal of Evolution Equations 4 Advanced Nonlinear Studies 4 Complex Variables and Elliptic Equations 3 Bulletin of the Australian Mathematical Society 3 Computer Methods in Applied Mechanics and Engineering 3 Fluid Dynamics 3 Journal of Mathematical Biology 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Applied Mathematics and Optimization 3 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 3 The Journal of Geometric Analysis 3 Set-Valued Analysis 3 Abstract and Applied Analysis 3 Mathematical Physics, Analysis and Geometry 3 Dynamical Systems 3 Bulletin de la Société Mathématique de France. Supplément. Mémoires 3 Optimization Letters 3 Séminaire Laurent Schwartz. EDP et Applications 2 Acta Mechanica 2 Israel Journal of Mathematics 2 Journal d’Analyse Mathématique 2 Theoretical and Mathematical Physics 2 The Annals of Probability 2 Glasgow Mathematical Journal 2 Integral Equations and Operator Theory 2 Journal of Computational and Applied Mathematics 2 Journal für die Reine und Angewandte Mathematik 2 Memoirs of the American Mathematical Society 2 Nagoya Mathematical Journal 2 Numerical Functional Analysis and Optimization 2 Operations Research Letters 2 Applied Numerical Mathematics ...and 130 more Serials
all top 5

### Cited in 46 Fields

 798 Partial differential equations (35-XX) 423 Fluid mechanics (76-XX) 167 Dynamical systems and ergodic theory (37-XX) 122 Ordinary differential equations (34-XX) 106 Calculus of variations and optimal control; optimization (49-XX) 97 Operator theory (47-XX) 84 Operations research, mathematical programming (90-XX) 63 Mechanics of deformable solids (74-XX) 54 Global analysis, analysis on manifolds (58-XX) 45 Numerical analysis (65-XX) 32 Functional analysis (46-XX) 32 Geophysics (86-XX) 21 Mechanics of particles and systems (70-XX) 20 Real functions (26-XX) 17 Integral equations (45-XX) 15 Probability theory and stochastic processes (60-XX) 15 Statistical mechanics, structure of matter (82-XX) 15 Biology and other natural sciences (92-XX) 13 Functions of a complex variable (30-XX) 12 Harmonic analysis on Euclidean spaces (42-XX) 10 Systems theory; control (93-XX) 8 History and biography (01-XX) 8 Integral transforms, operational calculus (44-XX) 8 Quantum theory (81-XX) 7 Optics, electromagnetic theory (78-XX) 6 Convex and discrete geometry (52-XX) 5 Potential theory (31-XX) 4 Differential geometry (53-XX) 4 Relativity and gravitational theory (83-XX) 4 Information and communication theory, circuits (94-XX) 3 Measure and integration (28-XX) 3 Approximations and expansions (41-XX) 3 General topology (54-XX) 3 Algebraic topology (55-XX) 2 General and overarching topics; collections (00-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Difference and functional equations (39-XX) 2 Manifolds and cell complexes (57-XX) 2 Computer science (68-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Topological groups, Lie groups (22-XX) 1 Sequences, series, summability (40-XX) 1 Astronomy and astrophysics (85-XX)

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