Edit Profile (opens in new tab) Toland, John Francis Co-Author Distance 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: 109 Publications since 1973, including 4 Books Reviewing Activity: 107 Reviews Co-Authors: 32 Co-Authors with 68 Joint Publications 671 Co-Co-Authors all top 5 Co-Authors 41 single-authored 13 Amick, Charles J. 12 Plotnikov, Pavel I. 11 Buffoni, Boris 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 all top 5 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 Annali di Matematica Pura ed Applicata. Serie Quarta 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 all top 5 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 Differential geometry (53-XX) 1 Probability theory and stochastic processes (60-XX) 1 Optics, electromagnetic theory (78-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 97 Publications have been cited 2,071 times in 1,328 Documents Cited by ▼ Year ▼ Stokes waves. Zbl 0897.35067Toland, J. F. 245 1996 On the Stokes conjecture for the wave of extreme form. Zbl 0495.76021Amick, C. J.; Fraenkel, L. E.; Toland, J. F. 111 1982 Analytic theory of global bifurcation. An introduction. Zbl 1021.47044Buffoni, Boris; Toland, John 99 2003 On solitary water-waves of finite amplitude. Zbl 0468.76025Amick, C. J.; Toland, J. F. 90 1981 Duality in nonconvex optimization. Zbl 0403.90066Toland, J. F. 80 1978 A duality principle for non-convex optimisation and the calculus of variations. Zbl 0411.49012Toland, J. F. 72 1979 Uniqueness and related analytic properties for the Benjamin-Ono equation – A nonlinear Neumann problem in the plane. Zbl 0755.35108Amick, C. J.; Toland, J. F. 66 1991 Bifurcation and coalescence of a plethora of homoclinic orbits for a Hamiltonian system. Zbl 0854.34047Buffoni, B.; Champneys, A. R.; Toland, J. F. 66 1996 Standing waves on an infinitely deep perfect fluid under gravity. Zbl 1176.76017Iooss, G.; Plotnikov, P. I.; Toland, J. F. 62 2005 On periodic water-waves and their convergence to solitary waves in the long-wave limit. Zbl 0482.76029Amick, C. J.; Toland, J. F. 58 1981 On the existence of a wave of greatest height and Stokes’s conjecture. Zbl 0388.76016Toland, J. F. 52 1978 The sub-harmonic bifurcation of Stokes waves. Zbl 0962.76012Buffoni, B.; Dancer, E. N.; Toland, J. F. 48 2000 Bounded Palais-Smale mountain-pass sequences. Zbl 0996.47052Jeanjean, Louis; Toland, John Francis 42 1998 The regularity and local bifurcation of steady periodic water waves. Zbl 0959.76010Buffoni, B.; Dancer, E. N.; Toland, J. F. 41 2000 A plethora of solitary gravity-capillary water waves with nearly critical Bond and Froude numbers. Zbl 0861.76012Buffoni, B.; Groves, M. D.; Toland, J. F. 41 1996 The bifurcation and secondary bifurcation of capillary-gravity waves. Zbl 0575.76023Toland, J. F.; Jones, M. C. W. 39 1985 Homoclinic orbits in the dynamic phase-space analogy of an elastic strut. Zbl 0755.73023Amick, C. J.; Toland, J. F. 39 1992 Bifurcation of a plethora of multi-modal homoclinic orbits for autonomous Hamiltonian systems. Zbl 0789.58035Champneys, A. R.; Toland, J. F. 39 1993 The Peierls-Nabarro and Benjamin-Ono equations. Zbl 0876.35106Toland, J. F. 39 1997 Symmetry and the bifurcation of capillary-gravity waves. Zbl 0615.76023Jones, Mark; Toland, John 37 1986 Convexity of Stokes waves of extreme form. Zbl 1064.76017Plotnikov, P. I.; Toland, J. F. 37 2004 Modelling nonlinear hydroelastic waves. Zbl 1228.76027Plotnikov, P. I.; Toland, J. F. 35 2011 Nash-Moser theory for standing water waves. Zbl 1033.76005Plotnikov, P. I.; Toland, J. F. 34 2001 A variational method for boundary value problems with discontinuous nonlinearities. Zbl 0434.35042Stuart, C. A.; Toland, J. F. 30 1980 Asymptotic linearity and nonlinear eigenvalue problems. Zbl 0256.47049Toland, John F. 27 1973 Homoclinic, heteroclinic, and periodic orbits for a class of indefinite Hamiltonian systems. Zbl 0569.70017Hofer, Helmut; Toland, John 19 1984 Solitary waves with surface tension. I: Trajectories homoclinic to periodic orbits in four dimensions. Zbl 0759.76015Amick, C. J.; Toland, J. F. 19 1992 Steady periodic hydroelastic waves. Zbl 1147.76008Toland, J. F. 18 2008 Algebra, analysis and probability for a coupled system of reaction- diffusion equations. Zbl 0824.60070Champneys, Alan; Harris, Simon; Toland, John; Warren, Jonathan; Williams, David 18 1995 Uniqueness of positive solutions of some semilinear Sturm-Liouville problems on the half line. Zbl 0545.34013Toland, J. F. 17 1984 On subdifferential calculus and duality in non-convex optimization. Zbl 0417.90088Toland, John F. 17 1979 Bernoulli free-boundary problems. Zbl 1167.35001Shargorodsky, E.; Toland, J. F. 17 2008 On variational formulations for steady water waves. Zbl 0888.76008Groves, Mark D.; Toland, John F. 17 1997 Global bifurcation theory via Galerkin’s method. Zbl 0477.47036Toland, J. F. 16 1977 Heavy hydroelastic travelling waves. Zbl 1187.74061Toland, J. F. 15 2007 A global result applicable to non-linear Steklov problems. Zbl 0276.35037Stuart, C. A.; Toland, J. F. 15 1974 Travelling waves for reaction-diffusion-convection systems. Zbl 0920.35075Crooks, E. C. M.; Toland, J. F. 13 1998 Nonlinear elliptic eigenvalue problems on an infinite strip-global theory of bifurcation and asymptotic bifurcation. Zbl 0489.35067Amick, C. J.; Toland, J. F. 12 1983 On positive solutions of -Delta(u)=F(x,u). Zbl 0491.35048Toland, John F. 12 1983 Steady periodic water waves under nonlinear elastic membranes. Zbl 1277.35281Baldi, Pietro; Toland, John F. 12 2011 Stokes waves in Hardy spaces and as distributions. Zbl 0976.35052Toland, J. F. 12 2000 Surface water waves as saddle points of the energy. Zbl 1222.76019Buffoni, B.; Séré, É.; Toland, J. F. 12 2003 Uniqueness of Benjamin’s solitary-wave solution of the Benjamin-Ono equation. Zbl 0735.35105Amick, C. J.; Toland, J. F. 12 1991 On a pseudo-differential equation for Stokes waves. Zbl 1028.35126Toland, J. F. 11 2002 Bifurcation and asymptotic bifurcation for non-compact non-symmetric gradient operators. Zbl 0341.47042Toland, J. F. 11 1975 Surface waves on steady perfect-fluid flows with vorticity. Zbl 1277.35284Burton, G. R.; Toland, J. F. 11 2011 The semi-analytic theory of standing waves. Zbl 0628.76016Amick, C. J.; Toland, J. F. 10 1987 On the symmetry theory for Stokes waves of finite and infinite depth. Zbl 0990.76009Toland, J. F. 10 2000 Global bifurcation for Neumann problems without eigenvalues. Zbl 0455.34015Toland, J. F. 10 1982 Solitary wave solutions for a model of the two-way propagation of water waves in a channel. Zbl 0474.76032Toland, J. F. 10 1981 Minimization methods for quasi-linear problems with an application to periodic water waves. Zbl 1077.76058Buffoni, B.; Séré, É.; Toland, J. F. 10 2005 A property of solutions of elliptic differential equations with discontinuous nonlinearities. Zbl 0434.35043Stuart, C. A.; Toland, J. F. 9 1980 Bifurcation and secondary bifurcation of heavy periodic hydroelastic travelling waves. Zbl 1191.35273Baldi, Pietro; Toland, John F. 9 2010 Positive solutions of nonlinear elliptic equations-existence and nonexistence of solutions with radial symmetry in \(L_ p({\mathbb{R}}^ N)\). Zbl 0549.35039Toland, J. F. 8 1984 A Leray-Schauder degree calculation leading to non-standard global bifurcation results. Zbl 0488.55004Toland, J. F. 8 1983 Existence and uniqueness of heteroclinic orbits for the equation \(\lambda u'''+u'=f(u)\). Zbl 0673.34022Toland, J. F. 8 1988 On the stability of rotating heavy chains. Zbl 0372.49016Toland, J. F. 8 1979 Traveling water waves – the ebb and flow of two centuries. Zbl 1490.35320Haziot, Susanna V.; Hur, Vera Mikyoung; Strauss, Walter A.; Toland, J. F.; Wahlén, Erik; Walsh, Samuel; Wheeler, Miles H. 8 2022 The index change and global bifurcation for flows with a first integral. Zbl 0793.34025Dancer, E. N.; Toland, J. F. 8 1993 The fixed point index of a linear k-set contraction. Zbl 0252.47064Stuart, C. A.; Toland, J. F. 8 1973 Existence of symmetric homoclinic orbits for systems of Euler-Lagrange equations. Zbl 0589.34029Toland, J. F. 7 1986 On the exact solutions of the intermediate long-wave equation. Zbl 0937.35142Albert, J. P.; Toland, J. F. 7 1994 Self-adjoint operators and cones. Zbl 0858.47016Toland, J. F. 7 1996 Duality for families of natural variational principles in nonlinear electrostatics. Zbl 0682.49017Toland, J. F.; Willis, J. R. 6 1989 Riemann-Hilbert and variational structure for standing waves. Zbl 1252.37053Toland, J. F.; Iooss, G. 6 2004 The Fourier coefficients of Stokes’ waves. Zbl 1046.35090Plotnikov, Pavel I.; Toland, John F. 6 2002 Uniqueness and a priori bounds for certain homoclinic orbits of a Boussinesq system modelling solitary water waves. Zbl 0557.76028Toland, J. F. 5 1984 Global existence of homoclinic and periodic orbits for a class of autonomous Hamiltonian systems. Zbl 0828.34032Buffoni, B.; Toland, J. F. 5 1995 The limiting form of internal waves. Zbl 0553.76018Amick, C. J.; Toland, J. F. 4 1984 Free oscillations of prescribed energy at a saddle point of the potential in Hamiltonian dynamics. Zbl 0592.70020Hofer, Helmut; Toland, John 4 1985 Global uniqueness of homoclinic orbits for a class of fourth order equations. Zbl 0766.34027Amick, C. J.; Toland, J. F. 4 1992 On Stokes waves and a conjecture of Levi-Civita. (Sur les ondes de Stokes et une conjecture de Levi-Civita.) Zbl 0913.35106Buffoni, Boris; Dancer, Edward Norman; Toland, John Francis 4 1998 The dual of \(L _\infty (X,\mathcal{L}, \lambda)\), finitely additive measures and weak convergence. A primer. Zbl 1448.46003Toland, John 3 2020 Strain-gradient theory of hydroelastic travelling waves and Young measures of their singular limits. Zbl 1243.35180Plotnikov, P. I.; Toland, J. F. 3 2012 Global bifurcation for k-set contractions without multiplicity assumptions. Zbl 0331.47031Toland, J. F. 3 1976 Points of egress in problems of Hamiltonian dynamics. Zbl 0728.58012Amick, C. J.; Toland, J. F. 3 1991 Non-existence of global energy minimisers in Stokes waves problems. Zbl 1292.76024Toland, J. F. 3 2014 Riemann-Hilbert theory for problems with vanishing coefficients that arise in nonlinear hydrodynamics. Zbl 1030.30038Shargorodsky, E.; Toland, J. F. 3 2003 A few remarks about the Hilbert transform. Zbl 0898.46042Toland, J. F. 3 1997 An index for Hamiltonian systems with a natural order structure. Zbl 0606.58023Toland, J. F. 2 1986 Periodic solutions for a class of Lorenz-Lagrangian systems. Zbl 0657.34042Toland, J. F. 2 1988 Singular elliptic eigenvalue problems for equations and systems. Zbl 0542.35036Toland, J. F. 2 1983 Degree theory for orbits of prescribed period of flows with a first integral. Zbl 0671.58033Toland, J. F.; Dancer, E. N. 2 1990 Dual free boundaries for Stokes waves. Zbl 1030.76010Buffoni, Boris; Toland, John Francis 2 2001 Asymptotic linearity and nonlinear eigenvalue problems. II. Zbl 0353.34022Toland, J. F. 2 1977 Standing waves on infinite depth. Zbl 1034.76010Iooss, Gérard; Plotnikov, Pavel; Toland, John 2 2004 A Riemann-Hilbert problem and the Bernoulli boundary condition in the variational theory of Stokes waves. Zbl 1045.35113Shargorodsky, E.; Toland, J. F. 2 2003 Waves on a steady stream with vorticity. Zbl 1155.35497Lilli, M.; Toland, J. F. 2 2008 Energy-minimising parallel flows with prescribed vorticity distribution. Zbl 1292.76023Toland, J. F. 2 2014 Graph intersection and uniqueness results for some nonlinear elliptic problems. Zbl 0790.34024Tertikas, A.; Toland, J. F. 2 1992 A necessary geometric condition for the existence of certain homoclinic orbits. Zbl 0619.34043Toland, J. F. 1 1986 A differential equation in the theory of resonant oscillations of water waves. Zbl 0719.34073Amick, C. J.; Toland, J. F. 1 1990 Galerkin’s method, monotonicity and linking for indefinite Hamiltonian systems with bounded potential energy. Zbl 1065.37042Crispin, D. J.; Toland, J. F. 1 2005 Asymptotic linearity and a class of nonlinear Sturm-Liouville problems on the half line. Zbl 0321.47045Toland, J. F. 1 1974 Phase transitions with a minimal number of jumps in the singular limits of higher order theories. Zbl 1192.82034Plotnikov, P. I.; Toland, J. F. 1 2010 Equilibrium states in the degree theory of periodic orbits with a first integral. Zbl 0749.34024Dancer, E. N.; Toland, J. F. 1 1991 Variational problems in the theory of hydroelastic waves. Zbl 1404.86039Plotnikov, P. I.; Toland, J. F. 1 2018 Traveling water waves – the ebb and flow of two centuries. Zbl 1490.35320Haziot, Susanna V.; Hur, Vera Mikyoung; Strauss, Walter A.; Toland, J. F.; Wahlén, Erik; Walsh, Samuel; Wheeler, Miles H. 8 2022 The dual of \(L _\infty (X,\mathcal{L}, \lambda)\), finitely additive measures and weak convergence. A primer. Zbl 1448.46003Toland, John 3 2020 Variational problems in the theory of hydroelastic waves. Zbl 1404.86039Plotnikov, P. I.; Toland, J. F. 1 2018 Non-existence of global energy minimisers in Stokes waves problems. Zbl 1292.76024Toland, J. F. 3 2014 Energy-minimising parallel flows with prescribed vorticity distribution. Zbl 1292.76023Toland, J. F. 2 2014 Strain-gradient theory of hydroelastic travelling waves and Young measures of their singular limits. Zbl 1243.35180Plotnikov, P. I.; Toland, J. F. 3 2012 Modelling nonlinear hydroelastic waves. Zbl 1228.76027Plotnikov, P. I.; Toland, J. F. 35 2011 Steady periodic water waves under nonlinear elastic membranes. Zbl 1277.35281Baldi, Pietro; Toland, John F. 12 2011 Surface waves on steady perfect-fluid flows with vorticity. Zbl 1277.35284Burton, G. R.; Toland, J. F. 11 2011 Bifurcation and secondary bifurcation of heavy periodic hydroelastic travelling waves. Zbl 1191.35273Baldi, Pietro; Toland, John F. 9 2010 Phase transitions with a minimal number of jumps in the singular limits of higher order theories. Zbl 1192.82034Plotnikov, P. I.; Toland, J. F. 1 2010 Steady periodic hydroelastic waves. Zbl 1147.76008Toland, J. F. 18 2008 Bernoulli free-boundary problems. Zbl 1167.35001Shargorodsky, E.; Toland, J. F. 17 2008 Waves on a steady stream with vorticity. Zbl 1155.35497Lilli, M.; Toland, J. F. 2 2008 Heavy hydroelastic travelling waves. Zbl 1187.74061Toland, J. F. 15 2007 Standing waves on an infinitely deep perfect fluid under gravity. Zbl 1176.76017Iooss, G.; Plotnikov, P. I.; Toland, J. F. 62 2005 Minimization methods for quasi-linear problems with an application to periodic water waves. Zbl 1077.76058Buffoni, B.; Séré, É.; Toland, J. F. 10 2005 Galerkin’s method, monotonicity and linking for indefinite Hamiltonian systems with bounded potential energy. Zbl 1065.37042Crispin, D. J.; Toland, J. F. 1 2005 Convexity of Stokes waves of extreme form. Zbl 1064.76017Plotnikov, P. I.; Toland, J. F. 37 2004 Riemann-Hilbert and variational structure for standing waves. Zbl 1252.37053Toland, J. F.; Iooss, G. 6 2004 Standing waves on infinite depth. Zbl 1034.76010Iooss, Gérard; Plotnikov, Pavel; Toland, John 2 2004 Analytic theory of global bifurcation. An introduction. Zbl 1021.47044Buffoni, Boris; Toland, John 99 2003 Surface water waves as saddle points of the energy. Zbl 1222.76019Buffoni, B.; Séré, É.; Toland, J. F. 12 2003 Riemann-Hilbert theory for problems with vanishing coefficients that arise in nonlinear hydrodynamics. Zbl 1030.30038Shargorodsky, E.; Toland, J. F. 3 2003 A Riemann-Hilbert problem and the Bernoulli boundary condition in the variational theory of Stokes waves. Zbl 1045.35113Shargorodsky, E.; Toland, J. F. 2 2003 On a pseudo-differential equation for Stokes waves. Zbl 1028.35126Toland, J. F. 11 2002 The Fourier coefficients of Stokes’ waves. Zbl 1046.35090Plotnikov, Pavel I.; Toland, John F. 6 2002 Nash-Moser theory for standing water waves. Zbl 1033.76005Plotnikov, P. I.; Toland, J. F. 34 2001 Dual free boundaries for Stokes waves. Zbl 1030.76010Buffoni, Boris; Toland, John Francis 2 2001 The sub-harmonic bifurcation of Stokes waves. Zbl 0962.76012Buffoni, B.; Dancer, E. N.; Toland, J. F. 48 2000 The regularity and local bifurcation of steady periodic water waves. Zbl 0959.76010Buffoni, B.; Dancer, E. N.; Toland, J. F. 41 2000 Stokes waves in Hardy spaces and as distributions. Zbl 0976.35052Toland, J. F. 12 2000 On the symmetry theory for Stokes waves of finite and infinite depth. Zbl 0990.76009Toland, J. F. 10 2000 Bounded Palais-Smale mountain-pass sequences. Zbl 0996.47052Jeanjean, Louis; Toland, John Francis 42 1998 Travelling waves for reaction-diffusion-convection systems. Zbl 0920.35075Crooks, E. C. M.; Toland, J. F. 13 1998 On Stokes waves and a conjecture of Levi-Civita. (Sur les ondes de Stokes et une conjecture de Levi-Civita.) Zbl 0913.35106Buffoni, Boris; Dancer, Edward Norman; Toland, John Francis 4 1998 The Peierls-Nabarro and Benjamin-Ono equations. Zbl 0876.35106Toland, J. F. 39 1997 On variational formulations for steady water waves. Zbl 0888.76008Groves, Mark D.; Toland, John F. 17 1997 A few remarks about the Hilbert transform. Zbl 0898.46042Toland, J. F. 3 1997 Stokes waves. Zbl 0897.35067Toland, J. F. 245 1996 Bifurcation and coalescence of a plethora of homoclinic orbits for a Hamiltonian system. Zbl 0854.34047Buffoni, B.; Champneys, A. R.; Toland, J. F. 66 1996 A plethora of solitary gravity-capillary water waves with nearly critical Bond and Froude numbers. Zbl 0861.76012Buffoni, B.; Groves, M. D.; Toland, J. F. 41 1996 Self-adjoint operators and cones. Zbl 0858.47016Toland, J. F. 7 1996 Algebra, analysis and probability for a coupled system of reaction- diffusion equations. Zbl 0824.60070Champneys, Alan; Harris, Simon; Toland, John; Warren, Jonathan; Williams, David 18 1995 Global existence of homoclinic and periodic orbits for a class of autonomous Hamiltonian systems. Zbl 0828.34032Buffoni, B.; Toland, J. F. 5 1995 On the exact solutions of the intermediate long-wave equation. Zbl 0937.35142Albert, J. P.; Toland, J. F. 7 1994 Bifurcation of a plethora of multi-modal homoclinic orbits for autonomous Hamiltonian systems. Zbl 0789.58035Champneys, A. R.; Toland, J. F. 39 1993 The index change and global bifurcation for flows with a first integral. Zbl 0793.34025Dancer, E. N.; Toland, J. F. 8 1993 Homoclinic orbits in the dynamic phase-space analogy of an elastic strut. Zbl 0755.73023Amick, C. J.; Toland, J. F. 39 1992 Solitary waves with surface tension. I: Trajectories homoclinic to periodic orbits in four dimensions. Zbl 0759.76015Amick, C. J.; Toland, J. F. 19 1992 Global uniqueness of homoclinic orbits for a class of fourth order equations. Zbl 0766.34027Amick, C. J.; Toland, J. F. 4 1992 Graph intersection and uniqueness results for some nonlinear elliptic problems. Zbl 0790.34024Tertikas, A.; Toland, J. F. 2 1992 Uniqueness and related analytic properties for the Benjamin-Ono equation – A nonlinear Neumann problem in the plane. Zbl 0755.35108Amick, C. J.; Toland, J. F. 66 1991 Uniqueness of Benjamin’s solitary-wave solution of the Benjamin-Ono equation. Zbl 0735.35105Amick, C. J.; Toland, J. F. 12 1991 Points of egress in problems of Hamiltonian dynamics. Zbl 0728.58012Amick, C. J.; Toland, J. F. 3 1991 Equilibrium states in the degree theory of periodic orbits with a first integral. Zbl 0749.34024Dancer, E. N.; Toland, J. F. 1 1991 Degree theory for orbits of prescribed period of flows with a first integral. Zbl 0671.58033Toland, J. F.; Dancer, E. N. 2 1990 A differential equation in the theory of resonant oscillations of water waves. Zbl 0719.34073Amick, C. J.; Toland, J. F. 1 1990 Duality for families of natural variational principles in nonlinear electrostatics. Zbl 0682.49017Toland, J. F.; Willis, J. R. 6 1989 Existence and uniqueness of heteroclinic orbits for the equation \(\lambda u'''+u'=f(u)\). Zbl 0673.34022Toland, J. F. 8 1988 Periodic solutions for a class of Lorenz-Lagrangian systems. Zbl 0657.34042Toland, J. F. 2 1988 The semi-analytic theory of standing waves. Zbl 0628.76016Amick, C. J.; Toland, J. F. 10 1987 Symmetry and the bifurcation of capillary-gravity waves. Zbl 0615.76023Jones, Mark; Toland, John 37 1986 Existence of symmetric homoclinic orbits for systems of Euler-Lagrange equations. Zbl 0589.34029Toland, J. F. 7 1986 An index for Hamiltonian systems with a natural order structure. Zbl 0606.58023Toland, J. F. 2 1986 A necessary geometric condition for the existence of certain homoclinic orbits. Zbl 0619.34043Toland, J. F. 1 1986 The bifurcation and secondary bifurcation of capillary-gravity waves. Zbl 0575.76023Toland, J. F.; Jones, M. C. W. 39 1985 Free oscillations of prescribed energy at a saddle point of the potential in Hamiltonian dynamics. Zbl 0592.70020Hofer, Helmut; Toland, John 4 1985 Homoclinic, heteroclinic, and periodic orbits for a class of indefinite Hamiltonian systems. Zbl 0569.70017Hofer, Helmut; Toland, John 19 1984 Uniqueness of positive solutions of some semilinear Sturm-Liouville problems on the half line. Zbl 0545.34013Toland, J. F. 17 1984 Positive solutions of nonlinear elliptic equations-existence and nonexistence of solutions with radial symmetry in \(L_ p({\mathbb{R}}^ N)\). Zbl 0549.35039Toland, J. F. 8 1984 Uniqueness and a priori bounds for certain homoclinic orbits of a Boussinesq system modelling solitary water waves. Zbl 0557.76028Toland, J. F. 5 1984 The limiting form of internal waves. Zbl 0553.76018Amick, C. J.; Toland, J. F. 4 1984 Nonlinear elliptic eigenvalue problems on an infinite strip-global theory of bifurcation and asymptotic bifurcation. Zbl 0489.35067Amick, C. J.; Toland, J. F. 12 1983 On positive solutions of -Delta(u)=F(x,u). Zbl 0491.35048Toland, John F. 12 1983 A Leray-Schauder degree calculation leading to non-standard global bifurcation results. Zbl 0488.55004Toland, J. F. 8 1983 Singular elliptic eigenvalue problems for equations and systems. Zbl 0542.35036Toland, J. F. 2 1983 On the Stokes conjecture for the wave of extreme form. Zbl 0495.76021Amick, C. J.; Fraenkel, L. E.; Toland, J. F. 111 1982 Global bifurcation for Neumann problems without eigenvalues. Zbl 0455.34015Toland, J. F. 10 1982 On solitary water-waves of finite amplitude. Zbl 0468.76025Amick, C. J.; Toland, J. F. 90 1981 On periodic water-waves and their convergence to solitary waves in the long-wave limit. Zbl 0482.76029Amick, C. J.; Toland, J. F. 58 1981 Solitary wave solutions for a model of the two-way propagation of water waves in a channel. Zbl 0474.76032Toland, J. F. 10 1981 A variational method for boundary value problems with discontinuous nonlinearities. Zbl 0434.35042Stuart, C. A.; Toland, J. F. 30 1980 A property of solutions of elliptic differential equations with discontinuous nonlinearities. Zbl 0434.35043Stuart, C. A.; Toland, J. F. 9 1980 A duality principle for non-convex optimisation and the calculus of variations. Zbl 0411.49012Toland, J. F. 72 1979 On subdifferential calculus and duality in non-convex optimization. Zbl 0417.90088Toland, John F. 17 1979 On the stability of rotating heavy chains. Zbl 0372.49016Toland, J. F. 8 1979 Duality in nonconvex optimization. Zbl 0403.90066Toland, J. F. 80 1978 On the existence of a wave of greatest height and Stokes’s conjecture. Zbl 0388.76016Toland, J. F. 52 1978 Global bifurcation theory via Galerkin’s method. Zbl 0477.47036Toland, J. F. 16 1977 Asymptotic linearity and nonlinear eigenvalue problems. II. Zbl 0353.34022Toland, J. F. 2 1977 Global bifurcation for k-set contractions without multiplicity assumptions. Zbl 0331.47031Toland, J. F. 3 1976 Bifurcation and asymptotic bifurcation for non-compact non-symmetric gradient operators. Zbl 0341.47042Toland, J. F. 11 1975 A global result applicable to non-linear Steklov problems. Zbl 0276.35037Stuart, C. A.; Toland, J. F. 15 1974 Asymptotic linearity and a class of nonlinear Sturm-Liouville problems on the half line. Zbl 0321.47045Toland, J. F. 1 1974 Asymptotic linearity and nonlinear eigenvalue problems. Zbl 0256.47049Toland, John F. 27 1973 The fixed point index of a linear k-set contraction. Zbl 0252.47064Stuart, C. A.; Toland, J. F. 8 1973 all cited Publications top 5 cited Publications all top 5 Cited by 1,290 Authors 47 Yin, Zhaoyang 46 Toland, John Francis 22 Constantin, Adrian 19 Liu, Yue 16 Amick, Charles J. 16 Kozlov, Vladimir A. 16 Montalto, Riccardo 15 Berti, Massimiliano 15 Ehrnström, Mats 15 Tang, Xianhua 14 Hur, Vera Mikyoung 13 Chen, Robin Ming 13 Escher, Joachim 13 Matioc, Bogdan-Vasile 13 Mu, Chunlai 13 Vanden-Broeck, Jean-Marc 13 Walsh, Samuel 13 Wheeler, Miles H. 12 Groves, Mark D. 12 Henry, David 12 Strauss, Walter Alexander 11 Baldi, Pietro 11 Jones, Mark Christopher W. 11 Wahlén, Erik 10 Kuznetsov, Nikolai Germanovich 10 Li, Jinlu 10 Liu, Xingxing 10 Martin, Calin-Iulian 10 Mi, Yongsheng 10 Milewski, Paul A. 10 Părău, Emilian I. 10 Plotnikov, Pavel I. 9 Basu, Biswajit 9 Dancer, Edward Norman 9 Grimshaw, Roger Hamilton James 9 Iooss, Gérard 9 Qu, Changzheng 8 Ambrose, David M. 8 Bartolucci, Daniele 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 Moon, Byungsoo 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 Buffoni, Boris 6 Deng, Shengfu 6 Kaikina, Elena Igorevna 6 Li, Min 6 Lokharu, Evgeniy 6 Luo, Wei 6 Maspero, Alberto 6 Shen, Chunyu 6 Tian, Lixin 6 Volle, Michel 6 Weiss, Georg Sebastian 6 Wilkening, Jon A. 6 Zhu, Weipeng 5 Bridges, Thomas J. 5 Chen, Chaonien 5 Chen, Min 5 Dougalis, Vassilios A. 5 Duran, Angel 5 Faver, Timothy E. 5 Gao, David Yang 5 Genoud, François 5 Giacomoni, Jacques 5 Gui, Guilong 5 Guo, Boling 5 Harris, Simon C. 5 Hsu, Hung-Chu 5 Jevnikar, Aleks Yang Wen 5 Kurzke, Matthias W. 5 Mitsotakis, Dimitrios E. 5 Procesi, Michela 5 Saut, Jean-Claude 5 Swanson, Charles A. 5 Tu, Xi 5 Turner, Robert E. L. 5 Walker, Christoph 5 Welsh, Stewart C. 5 Wright, J. Douglas 5 Zheng, Rudong 5 Zhou, Shouming 5 Zhu, Min 5 Zou, Wenming 4 Burton, Geoffrey R. 4 Cappiello, Marco 4 Chu, Jifeng 4 Clamond, Didier 4 Dinh, Van Duong ...and 1,190 more Authors all top 5 Cited in 243 Serials 109 Journal of Differential Equations 68 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 48 Journal of Mathematical Analysis and Applications 47 Archive for Rational Mechanics and Analysis 45 Journal of Fluid Mechanics 44 Discrete and Continuous Dynamical Systems 33 Physica D 26 Nonlinear Analysis. Theory, Methods & Applications 25 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 22 Applicable Analysis 22 Calculus of Variations and Partial Differential Equations 21 Communications in Mathematical Physics 21 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 20 Journal of Mathematical Physics 20 Journal of Mathematical Fluid Mechanics 19 Nonlinear Analysis. Real World Applications 18 Transactions of the American Mathematical Society 17 Journal of Global Optimization 16 Journal of Functional Analysis 16 Journal of Nonlinear Mathematical Physics 15 Wave Motion 15 SIAM Journal on Mathematical Analysis 14 Mathematische Annalen 14 Journal of Dynamics and Differential Equations 13 Studies in Applied Mathematics 13 European Journal of Mechanics. B. Fluids 11 Monatshefte für Mathematik 11 Quarterly of Applied Mathematics 11 Optimization 11 Journal of Nonlinear Science 11 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 10 Advances in Mathematics 10 Applied Mathematics and Computation 10 Journal of Optimization Theory and Applications 10 Comptes Rendus. Mathématique. Académie des Sciences, Paris 10 Communications on Pure and Applied Analysis 9 ZAMP. Zeitschrift für angewandte Mathematik und Physik 9 NoDEA. Nonlinear Differential Equations and Applications 7 Mathematical Methods in the Applied Sciences 7 Nonlinearity 7 Mathematical Programming. Series A. Series B 7 Water Waves 6 Journal of Computational Physics 6 Inventiones Mathematicae 6 Mathematische Zeitschrift 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 5 Communications on Pure and Applied Mathematics 5 Fluid Dynamics 5 Journal of the Mechanics and Physics of Solids 5 Acta Mathematica 5 Mathematics and Computers in Simulation 5 Applied Mathematics Letters 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 Evolution Equations 5 Advanced Nonlinear Studies 5 Complex Variables and Elliptic Equations 5 Journal of Fixed Point Theory and Applications 4 Computer Methods in Applied Mechanics and Engineering 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 di Matematica Pura ed Applicata. Serie Quarta 4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 4 Duke Mathematical Journal 4 Journal of Computational and Applied Mathematics 4 European Journal of Applied Mathematics 4 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 4 The Journal of Geometric Analysis 4 Physics of Fluids 4 Communications in Contemporary Mathematics 4 Boundary Value Problems 3 Bulletin of the Australian Mathematical Society 3 Journal of Mathematical Biology 3 Applied Mathematics and Optimization 3 Applied Numerical Mathematics 3 Revista Matemática Iberoamericana 3 Annals of Operations Research 3 Set-Valued Analysis 3 Topological Methods in Nonlinear Analysis 3 Electronic Journal of Differential Equations (EJDE) 3 Abstract and Applied Analysis 3 Mathematical Physics, Analysis and Geometry 3 Communications in Nonlinear Science and Numerical Simulation 3 Dynamical Systems 3 Discrete and Continuous Dynamical Systems. Series B 3 Bulletin de la Société Mathématique de France. Supplément. Mémoires 3 Optimization Letters 3 Transactions of National Academy of Sciences of Azerbaijan. Series of Physical-Technical and Mathematical Sciences 3 Analysis & PDE 3 Séminaire Laurent Schwartz. EDP et Applications 2 Acta Mechanica 2 Computers & Mathematics with Applications 2 Israel Journal of Mathematics ...and 143 more Serials all top 5 Cited in 46 Fields 864 Partial differential equations (35-XX) 466 Fluid mechanics (76-XX) 172 Dynamical systems and ergodic theory (37-XX) 131 Ordinary differential equations (34-XX) 112 Calculus of variations and optimal control; optimization (49-XX) 103 Operator theory (47-XX) 87 Operations research, mathematical programming (90-XX) 67 Mechanics of deformable solids (74-XX) 55 Global analysis, analysis on manifolds (58-XX) 51 Numerical analysis (65-XX) 38 Functional analysis (46-XX) 34 Geophysics (86-XX) 24 Mechanics of particles and systems (70-XX) 21 Real functions (26-XX) 18 Integral equations (45-XX) 18 Statistical mechanics, structure of matter (82-XX) 18 Biology and other natural sciences (92-XX) 16 Probability theory and stochastic processes (60-XX) 13 Functions of a complex variable (30-XX) 13 Harmonic analysis on Euclidean spaces (42-XX) 9 Optics, electromagnetic theory (78-XX) 9 Systems theory; control (93-XX) 8 History and biography (01-XX) 8 Integral transforms, operational calculus (44-XX) 8 Quantum theory (81-XX) 7 Convex and discrete geometry (52-XX) 6 Approximations and expansions (41-XX) 5 Potential theory (31-XX) 5 Differential geometry (53-XX) 4 Relativity and gravitational theory (83-XX) 3 Measure and integration (28-XX) 3 General topology (54-XX) 3 Algebraic topology (55-XX) 3 Information and communication theory, circuits (94-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) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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