Edit Profile Stuart, Charles Alexander Compute Distance To: Compute Author ID: stuart.charles-a Published as: Stuart, C; Stuart, C. A.; Stuart, Charles; Stuart, Charles A.; Stuart, Charles Alexander Homepage: https://people.epfl.ch/charles.stuart External Links: MGP · dblp Documents Indexed: 139 Publications since 1971, including 2 Books all top 5 Co-Authors 76 single-authored 8 Rabier, Patrick J. 8 Zhou, Huan-Song 5 Küpper, Tassilo 4 Evéquoz, Gilles 4 Hajaiej, Hichem 4 Toland, John Francis 3 Gebran, Hicham G. 3 Jeanjean, H. 3 McLeod, John Bryce 3 Vuillaume, Grégory 2 Edmunds, David Eric 2 Heinz, Hans-Peter 2 Lucia, Marcello 2 Massabó, Ivar 2 Nussbaum, Roger David 2 Troy, William C. 1 Buffoni, Boris 1 Chiappinelli, Raffaele 1 Cuvelier, C. 1 Dancer, Edward Norman 1 Descloux, Jean 1 Edelson, Allan L. 1 Genoud, François 1 Healey, Timothy J. 1 Holmes, Philip J. 1 Jeanjean, Louis 1 John, Oldřich 1 Kielhöfer, Hansjörg 1 Knops, Robin J. 1 Potter, Anthony J. B. 1 Rappaz, Jacques 1 Secchi, Simone 1 Smith, Hal Leslie 1 Zwahlen, Bruno P.eter all top 5 Serials 10 Journal of Differential Equations 9 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 7 Journal of the London Mathematical Society. Second Series 6 Archive for Rational Mechanics and Analysis 6 Mathematische Zeitschrift 6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Proceedings of the London Mathematical Society. Third Series 5 Nonlinear Analysis. Theory, Methods & Applications 3 Mathematical Methods in the Applied Sciences 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Discrete and Continuous Dynamical Systems 3 Advanced Nonlinear Studies 3 Milan Journal of Mathematics 2 Journal of Mathematical Analysis and Applications 2 Journal für die Reine und Angewandte Mathematik 2 Mathematische Annalen 2 Proceedings of the American Mathematical Society 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 The Quarterly Journal of Mathematics. Oxford Second Series 2 Differential and Integral Equations 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 SIAM Journal on Mathematical Analysis 2 Calculus of Variations and Partial Differential Equations 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 1 IMA Journal of Applied Mathematics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Commentationes Mathematicae Universitatis Carolinae 1 Conferenze del Seminario di Matematica dell’Università di Bari 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Functional Analysis 1 Mathematische Nachrichten 1 Quarterly of Applied Mathematics 1 Rendiconti dell’Istituto di Matematica dell’Università di Trieste 1 Rendiconti del Seminario Matematico della Università di Padova 1 Zeitschrift für Analysis und ihre Anwendungen 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Communications in Partial Differential Equations 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 1 Topological Methods in Nonlinear Analysis 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 Advances in Differential Equations 1 Communications in Applied Analysis 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Electronic Journal of Qualitative Theory of Differential Equations 1 Journal of the European Mathematical Society (JEMS) 1 Communications in Contemporary Mathematics 1 Bollettino della Unione Matematica Italiana. Series V. B 1 Cahiers Mathématiques de l’École Polytechnique Fédérale de Lausanne all top 5 Fields 74 Partial differential equations (35-XX) 62 Operator theory (47-XX) 46 Ordinary differential equations (34-XX) 18 Global analysis, analysis on manifolds (58-XX) 16 Optics, electromagnetic theory (78-XX) 11 Mechanics of deformable solids (74-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 7 Dynamical systems and ergodic theory (37-XX) 7 Functional analysis (46-XX) 5 Real functions (26-XX) 4 Numerical analysis (65-XX) 3 Integral equations (45-XX) 3 General topology (54-XX) 2 Algebraic topology (55-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 125 Publications have been cited 1,477 times in 933 Documents Cited by ▼ Year ▼ Existence and approximation of solutions of non-linear elliptic equations. Zbl 0324.35037Stuart, Charles A. 75 1976 Quasiconvexity and uniqueness of equilibrium solutions in nonlinear elasticity. Zbl 0589.73017Knops, R. J.; Stuart, C. A. 63 1984 Applying the mountain pass theorem to an asymptotically linear elliptic equation on \(\mathbb{R}^N\). Zbl 0935.35043Stuart, C. A.; Zhou, H. S. 59 1999 Existence of a nontrivial solution to a strongly indefinite semilinear equation. Zbl 0789.35052Buffoni, B.; Jeanjean, L.; Stuart, C. A. 57 1993 Bifurcation for Dirichlet problems without eigenvalues. Zbl 0505.35010Stuart, C. A. 57 1982 Some bifurcation theory for \(k\)-set contractions. Zbl 0268.47064Stuart, C. A. 41 1973 Existence theorems for a class of non-linear integral equations. Zbl 0289.45013Stuart, C. A. 39 1974 Guidance properties of nonlinear planar waveguides. Zbl 0801.35136Stuart, C. A. 35 1993 Bifurcation in \(L^ p({\mathbb{R}}^ N)\) for a semilinear elliptic equation. Zbl 0673.35005Stuart, C. A. 35 1988 Maximal and minimal solutions of elliptic differential equations with discontinuous non-linearities. Zbl 0403.35036Stuart, Charles A. 32 1978 A variational method for boundary value problems with discontinuous nonlinearities. Zbl 0434.35042Stuart, C. A.; Toland, J. F. 31 1980 Existence and bifurcation of solutions for nonlinear perturbations of the periodic Schrödinger equation. Zbl 0767.35006Heinz, H.-P.; Küpper, T.; Stuart, C. A. 28 1992 Self-trapping of an electromagnetic field and bifurcation from the essential spectrum. Zbl 0745.35044Stuart, C. A. 28 1991 A variational problem related to self-trapping of an electromagnetic field. Zbl 0862.35123Stuart, C. A.; Zhou, H. S. 27 1996 Schrödinger equations with a spatially decaying nonlinearity: existence and stability of standing waves. Zbl 1154.35082Genoud, François; Stuart, Charles A. 25 2008 Global branch of solutions for non-linear Schrödinger equations with deepening potential well. Zbl 1225.35091Stuart, C. A.; Zhou, Huansong 25 2006 Bifurcation into spectral gaps. Zbl 0864.47037Stuart, Charles A. 25 1995 Radially symmetric cavitation for hyperelastic materials. Zbl 0588.73021Stuart, C. A. 25 1985 Bifurcation for variational problems when the linearisation has no eigenvalues. Zbl 0458.47048Stuart, C. A. 24 1980 Non-compact positive operators. Zbl 0232.47035Edmunds, D. E.; Potter, A. J. B.; Stuart, C. A. 22 1972 Lectures on the orbital stability of standing waves and application to the nonlinear Schrödinger equation. Zbl 1179.37101Stuart, C. A. 21 2008 Existence theory for the Hartree equation. Zbl 0287.34032Stuart, C. A. 18 1973 Bifurcation from the essential spectrum for some non-compact nonlinearities. Zbl 0678.58013Stuart, C. A. 17 1989 Axisymmetric TE-modes in a self-focusing dielectric. Zbl 1099.78013Stuart, Charles A.; Zhou, Huan-Song 16 2005 Bifurcation for Neumann problems without eigenvalues. Zbl 0468.34009Stuart, C. A. 16 1980 Hadamard differentiability and bifurcation. Zbl 1134.35014Evéquoz, G.; Stuart, C. A. 15 2007 On the variational approach to the stability of standing waves for the nonlinear Schrödinger equation. Zbl 1068.35155Hajaiej, H.; Stuart, C. A. 15 2004 Exponential decay of the solutions of quasilinear second-order equations and Pohozaev identities. Zbl 0965.35046Rabier, Patrick J.; Stuart, Charles A. 15 2000 A global branch of solutions to a semilinear equation on an unbounded interval. Zbl 0582.34010Stuart, C. A. 15 1985 Fredholm and properness properties of quasilinear elliptic operators on \(\mathbb{R}^N\). Zbl 0991.35021Rabier, Patrick J.; Stuart, Charles A. 14 2001 Elliptic eigenvalue problems with discontinuous nonlinearities. Zbl 0408.35070Massabó, Ivar; Stuart, Charles A. 14 1978 Differential equations with discontinuous non-linearities. Zbl 0393.34010Stuart, C. A. 14 1976 Global properties of components of solutions of non-linear second order ordinary differential equations on the half-line. Zbl 0326.34034Stuart, Charles A. 14 1975 A global result applicable to non-linear Steklov problems. Zbl 0276.35037Stuart, C. A.; Toland, J. F. 13 1974 An introduction to elliptic equations on \(\mathbb{R}^N\). Zbl 0956.35028Stuart, C. A. 12 1998 Bifurcation from the essential spectrum. Zbl 0527.35010Stuart, C. A. 12 1983 A variational approach to bifurcation in \(L^ p \)on an unbounded symmetrical domain. Zbl 0513.35068Stuart, C. A. 12 1983 Solutions of large norm for nonlinear Sturm-Liouville problems. Zbl 0257.34021Stuart, C. A. 12 1973 Solvability of nonlinear equations in spectral gaps of the linearization. Zbl 0777.47033Heinz, H.-P.; Stuart, C. A. 11 1992 Positive eigenvectors of k-set contractions. Zbl 0422.47030Massabó, Ivar; Stuart, Charles A. 11 1979 Bifurcation when the linearized problem has no eigenvalues. Zbl 0419.34010Chiappinelli, R.; Stuart, C. A. 11 1978 An example in nonlinear functional analysis: The Hartree equation. Zbl 0311.47032Stuart, C. A. 11 1975 Locating Cerami sequences in a mountain pass geometry. Zbl 1232.58007Stuart, C. A. 10 2011 Existence of guided cylindrical TM-modes in an inhomogeneous self-focusing dielectric. Zbl 1219.35151Stuart, C. A.; Zhou, Huan-Song 10 2010 Bifurcation into gaps in the essential spectrum. Zbl 0697.47063Küpper, Tassilo; Stuart, Charles A. 10 1990 Fredholm and properness properties of quasilinear elliptic systems of second order. Zbl 1210.35091Gebran, Hicham G.; Stuart, Charles A. 9 2005 Bifurcation from the essential spectrum. Zbl 0888.47045Stuart, C. A. 9 1997 Necessary and sufficient conditions for gap-bifurcation. Zbl 0797.47037Küpper, T.; Stuart, C. A. 9 1992 An introduction to bifurcation theory based on differential calculus. Zbl 0446.58005Stuart, C. A. 9 1979 The number of solutions of boundary value problems with discontinuous non-linearities. Zbl 0388.34012Stuart, C. A. 9 1977 Positive solutions of a non-linear integral equation. Zbl 0203.42101Stuart, C. A. 9 1971 Bifurcation at isolated singular points of the Hadamard derivative. Zbl 1322.47060Stuart, C. A. 8 2014 On differentiability and bifurcation. Zbl 1107.47048Evéquoz, Gilles; Stuart, Charles Alexander 8 2006 A Sobolev space approach to boundary value problems on the half-line. Zbl 1087.34006Rabier, Patrick J.; Stuart, Charles A. 8 2005 Buckling of a heavy tapered rod. Zbl 1056.74019Stuart, Charles A. 8 2001 Global bifurcation for quasilinear elliptic equations on \({\mathbb R}^N\). Zbl 1018.35033Rabier, P. J.; Stuart, C. A. 8 2001 Existence of guided cylindrical TM-modes in a homogeneous self-focusing dielectric. Zbl 0992.78006Stuart, Charles A.; Zhou, Huan-Song 8 2001 Branches of solutions to semilinear elliptic equations on \(\mathbb{R}^N\). Zbl 0955.35058Jeanjean, H.; Lucia, M.; Stuart, C. A. 8 1999 Concave solutions of singular non-linear differential equations. Zbl 0281.47040Stuart, C. A. 8 1974 The fixed point index of a linear k-set contraction. Zbl 0252.47064Stuart, C. A.; Toland, J. F. 8 1973 Bifurcation for some non-Fréchet differentiable problems. Zbl 1157.47045Stuart, C. A. 7 2008 Bifurcation and concentration of radial solutions of a nonlinear degenerate elliptic eigenvalue problem. Zbl 1194.35193Evéquoz, G.; Stuart, C. A. 7 2006 Existence and non-existence of Schwarz symmetric ground states for elliptic eigenvalue problems. Zbl 1099.49002Stuart, C. A.; Hajaiej, H. 7 2005 Global bifurcation of homoclinic solutions of Hamiltonian systems. Zbl 1042.37046Secchi, S.; Stuart, C. A. 7 2003 A constrained minimization problem and its application to guided cylindrical TM-modes in an anisotropic self-focusing dielectric. Zbl 1036.49004Stuart, C. A.; Zhou, H. S. 7 2003 Bifurcation of homoclinic orbits and bifurcation from the essential spectrum. Zbl 0704.34025Stuart, C. A. 7 1989 Bifurcation in \(L^ p({\mathbb{R}})\) for a semilinear equation. Zbl 0635.34026Stuart, C. A. 7 1986 A property of solutions of elliptic differential equations with discontinuous nonlinearities. Zbl 0434.35043Stuart, C. A.; Toland, J. F. 7 1980 Bifurcation points of a degenerate elliptic boundary-value problem. Zbl 1113.35067Evéquoz, Gilles; Stuart, C. A. 6 2006 Boundary value problems for first order systems on the half-line. Zbl 1090.34014Rabier, Patrick J.; Stuart, Charles A. 6 2005 Buckling of a critically tapered rod: properties of some global branches of solutions. Zbl 1094.47051Stuart, C. A.; Vuillaume, G. 6 2004 Extensions of the Hardy-Littlewood inequalities for Schwarz symmetrization. Zbl 1086.26013Hajaiej, H.; Stuart, C. A. 6 2004 Buckling of a critically tapered rod: Global bifurcation. Zbl 1065.47067Stuart, C. A.; Vuillaume, G. 6 2003 Symmetrization inequalities for composition operators of Carathéodory type. Zbl 1052.26020Hajaiej, H.; Stuart, C. A. 6 2003 On the spectral theory of a tapered rod. Zbl 1020.34076Stuart, C. A. 6 2002 Nonlinear eigenvalue problems having an unbounded branch of symmetric bound states. Zbl 0958.34017Jeanjean, H.; Stuart, C. A. 6 1999 The principle branch of solutions of a nonlinear elliptic eigenvalue problem on \(\mathbb{R}^ N\). Zbl 0842.35029Edelson, A. L.; Stuart, C. A. 6 1996 Homoclinic orbits for eventually autonomous planar flows. Zbl 0757.34038Holmes, P. J.; Stuart, C. A. 6 1992 Gap-bifurcation for nonlinear perturbations of Hill’s equation. Zbl 0704.34012Küpper, Tassilo; Stuart, Charles A. 6 1990 Bifurcation pour les problèmes de Dirichlet et de Neumann sans valeurs propres. Zbl 0397.34079Stuart, Charles 6 1979 Spectral theory of rotating chains. Zbl 0342.34015Stuart, C. A. 6 1975 The measure of non-compactness of some linear integral operators. Zbl 0314.47029Stuart, C. A. 6 1973 Modelling axi-symmetric travelling waves in a dielectric with nonlinear refractive index. Zbl 1225.35231Stuart, C. A. 5 2004 Fredholm properties of Schrödinger operators in \(L^P(\mathbb{R}^N)\). Zbl 0989.47036Rabier, P. J.; Stuart, C. A. 5 2000 Quasinormal cones in Banach spaces. Zbl 0514.47043Dancer, E. Norman; Nussbaum, Roger D.; Stuart, Charles 5 1983 A uniqueness theorem for fixed points. Zbl 0438.47055Smith, H. L.; Stuart, C. A. 5 1980 Integral equations with decreasing nonlinearities and applications. Zbl 0304.45004Stuart, C. A. 5 1975 Bifurcation at isolated singular points for a degenerate elliptic eigenvalue problem. Zbl 1326.35027Stuart, C. A. 4 2015 Asymptotic linearity and Hadamard differentiability. Zbl 1269.46027Stuart, C. A. 4 2012 Positive eigenfunctions of a Schrödinger operator. Zbl 1095.35020Stuart, C. A.; Zhou, Huan-Song 4 2005 Stability of standing waves for some nonlinear Schrödinger equations. Zbl 1037.34022McLeod, J. B.; Stuart, C. A.; Troy, W. C. 4 2003 Spectrum of a self-adjoint operator and Palais-Smale conditions. Zbl 0961.47002Stuart, C. A. 4 2000 Estimating the critical radius for radially symmetric cavitation. Zbl 0790.73016Stuart, C. A. 4 1993 An exact reduction of Maxwell’s equations. Zbl 0797.34035McLeod, J. B.; Stuart, C. A.; Troy, W. C. 4 1992 The fixed point index of a differentiable (\(\beta\)) k-set contraction. Zbl 0248.47030Stuart, C. A. 4 1972 Bifurcation points of a singular boundary-value problem on \((0,1)\). Zbl 1335.34054Stuart, Charles A. 3 2016 Bifurcation without Fréchet differentiability at the trivial solution. Zbl 1372.47071Stuart, C. A. 3 2015 Asymptotic bifurcation and second order elliptic equations on \(\mathbb{R}^N\). Zbl 1330.35187Stuart, C. A. 3 2015 Exponential decay and Fredholm properties in second-order quasilinear elliptic systems. Zbl 1194.35181Gebran, Hicham G.; Stuart, Charles A. 3 2010 Global continuation for quasilinear elliptic systems on \(\mathbb{R}^N\) and the equations of elastostatics. Zbl 1198.35044Gebran, Hicham G.; Stuart, Charles A. 3 2009 Stability analysis for a family of degenerate semilinear parabolic problems. Zbl 1394.35252Stuart, Charles A. 1 2018 Criteria for the existence of a potential well. Zbl 1369.49031Stuart, C. A. 2 2017 A potential well for an integral functional with singular Lagrangian. Zbl 1454.35088Stuart, C. A. 1 2017 Bifurcation points of a singular boundary-value problem on \((0,1)\). Zbl 1335.34054Stuart, Charles A. 3 2016 Bifurcation at isolated singular points for a degenerate elliptic eigenvalue problem. Zbl 1326.35027Stuart, C. A. 4 2015 Bifurcation without Fréchet differentiability at the trivial solution. Zbl 1372.47071Stuart, C. A. 3 2015 Asymptotic bifurcation and second order elliptic equations on \(\mathbb{R}^N\). Zbl 1330.35187Stuart, C. A. 3 2015 Bifurcation at isolated singular points of the Hadamard derivative. Zbl 1322.47060Stuart, C. A. 8 2014 Asymptotic linearity and Hadamard differentiability. Zbl 1269.46027Stuart, C. A. 4 2012 Locating Cerami sequences in a mountain pass geometry. Zbl 1232.58007Stuart, C. A. 10 2011 Bifurcation and decay of solutions for a class of elliptic equations on \(\mathbb{R}^N\). Zbl 1236.35010Stuart, C. A. 2 2011 Two positive solutions of a quasilinear elliptic Dirichlet problem. Zbl 1245.35056Stuart, C. A. 1 2011 Existence of guided cylindrical TM-modes in an inhomogeneous self-focusing dielectric. Zbl 1219.35151Stuart, C. A.; Zhou, Huan-Song 10 2010 Exponential decay and Fredholm properties in second-order quasilinear elliptic systems. Zbl 1194.35181Gebran, Hicham G.; Stuart, Charles A. 3 2010 Global continuation for quasilinear elliptic systems on \(\mathbb{R}^N\) and the equations of elastostatics. Zbl 1198.35044Gebran, Hicham G.; Stuart, Charles A. 3 2009 Schrödinger equations with a spatially decaying nonlinearity: existence and stability of standing waves. Zbl 1154.35082Genoud, François; Stuart, Charles A. 25 2008 Lectures on the orbital stability of standing waves and application to the nonlinear Schrödinger equation. Zbl 1179.37101Stuart, C. A. 21 2008 Bifurcation for some non-Fréchet differentiable problems. Zbl 1157.47045Stuart, C. A. 7 2008 Hadamard differentiability and bifurcation. Zbl 1134.35014Evéquoz, G.; Stuart, C. A. 15 2007 Existence and stability of TE modes in a stratified nonlinear dielectric. Zbl 1138.78316Stuart, C. A. 3 2007 Global branch of solutions for non-linear Schrödinger equations with deepening potential well. Zbl 1225.35091Stuart, C. A.; Zhou, Huansong 25 2006 On differentiability and bifurcation. Zbl 1107.47048Evéquoz, Gilles; Stuart, Charles Alexander 8 2006 Bifurcation and concentration of radial solutions of a nonlinear degenerate elliptic eigenvalue problem. Zbl 1194.35193Evéquoz, G.; Stuart, C. A. 7 2006 Bifurcation points of a degenerate elliptic boundary-value problem. Zbl 1113.35067Evéquoz, Gilles; Stuart, C. A. 6 2006 Uniqueness and stability of ground states for some nonlinear Schrödinger equations. Zbl 1245.35120Stuart, C. A. 3 2006 Axisymmetric TE-modes in a self-focusing dielectric. Zbl 1099.78013Stuart, Charles A.; Zhou, Huan-Song 16 2005 Fredholm and properness properties of quasilinear elliptic systems of second order. Zbl 1210.35091Gebran, Hicham G.; Stuart, Charles A. 9 2005 A Sobolev space approach to boundary value problems on the half-line. Zbl 1087.34006Rabier, Patrick J.; Stuart, Charles A. 8 2005 Existence and non-existence of Schwarz symmetric ground states for elliptic eigenvalue problems. Zbl 1099.49002Stuart, C. A.; Hajaiej, H. 7 2005 Boundary value problems for first order systems on the half-line. Zbl 1090.34014Rabier, Patrick J.; Stuart, Charles A. 6 2005 Positive eigenfunctions of a Schrödinger operator. Zbl 1095.35020Stuart, C. A.; Zhou, Huan-Song 4 2005 On the variational approach to the stability of standing waves for the nonlinear Schrödinger equation. Zbl 1068.35155Hajaiej, H.; Stuart, C. A. 15 2004 Buckling of a critically tapered rod: properties of some global branches of solutions. Zbl 1094.47051Stuart, C. A.; Vuillaume, G. 6 2004 Extensions of the Hardy-Littlewood inequalities for Schwarz symmetrization. Zbl 1086.26013Hajaiej, H.; Stuart, C. A. 6 2004 Modelling axi-symmetric travelling waves in a dielectric with nonlinear refractive index. Zbl 1225.35231Stuart, C. A. 5 2004 Global bifurcation of homoclinic solutions of Hamiltonian systems. Zbl 1042.37046Secchi, S.; Stuart, C. A. 7 2003 A constrained minimization problem and its application to guided cylindrical TM-modes in an anisotropic self-focusing dielectric. Zbl 1036.49004Stuart, C. A.; Zhou, H. S. 7 2003 Buckling of a critically tapered rod: Global bifurcation. Zbl 1065.47067Stuart, C. A.; Vuillaume, G. 6 2003 Symmetrization inequalities for composition operators of Carathéodory type. Zbl 1052.26020Hajaiej, H.; Stuart, C. A. 6 2003 Stability of standing waves for some nonlinear Schrödinger equations. Zbl 1037.34022McLeod, J. B.; Stuart, C. A.; Troy, W. C. 4 2003 Application of elliptic regularity to bifurcation in stationary nonlinear Schrödinger equations. Zbl 1034.35036Rabier, Patrick J.; Stuart, Charles A. 2 2003 On the spectral theory of a tapered rod. Zbl 1020.34076Stuart, C. A. 6 2002 Fredholm and properness properties of quasilinear elliptic operators on \(\mathbb{R}^N\). Zbl 0991.35021Rabier, Patrick J.; Stuart, Charles A. 14 2001 Buckling of a heavy tapered rod. Zbl 1056.74019Stuart, Charles A. 8 2001 Global bifurcation for quasilinear elliptic equations on \({\mathbb R}^N\). Zbl 1018.35033Rabier, P. J.; Stuart, C. A. 8 2001 Existence of guided cylindrical TM-modes in a homogeneous self-focusing dielectric. Zbl 0992.78006Stuart, Charles A.; Zhou, Huan-Song 8 2001 Exponential decay of the solutions of quasilinear second-order equations and Pohozaev identities. Zbl 0965.35046Rabier, Patrick J.; Stuart, Charles A. 15 2000 Fredholm properties of Schrödinger operators in \(L^P(\mathbb{R}^N)\). Zbl 0989.47036Rabier, P. J.; Stuart, C. A. 5 2000 Spectrum of a self-adjoint operator and Palais-Smale conditions. Zbl 0961.47002Stuart, C. A. 4 2000 Buckling of a tapered elastica. Zbl 0994.74027Stuart, Charles A. 2 2000 Applying the mountain pass theorem to an asymptotically linear elliptic equation on \(\mathbb{R}^N\). Zbl 0935.35043Stuart, C. A.; Zhou, H. S. 59 1999 Branches of solutions to semilinear elliptic equations on \(\mathbb{R}^N\). Zbl 0955.35058Jeanjean, H.; Lucia, M.; Stuart, C. A. 8 1999 Nonlinear eigenvalue problems having an unbounded branch of symmetric bound states. Zbl 0958.34017Jeanjean, H.; Stuart, C. A. 6 1999 The branch of positive solutions to a semilinear elliptic equation on \(\mathbb{R}^N\). Zbl 0933.35060Jeanjean, H.; Lucia, M.; Stuart, C. A. 2 1999 An introduction to elliptic equations on \(\mathbb{R}^N\). Zbl 0956.35028Stuart, C. A. 12 1998 Magnetic field wave equations for TM-modes in nonlinear optical waveguides. Zbl 0894.35111Stuart, C. A. 1 1998 Bifurcation from the essential spectrum. Zbl 0888.47045Stuart, C. A. 9 1997 A variational problem related to self-trapping of an electromagnetic field. Zbl 0862.35123Stuart, C. A.; Zhou, H. S. 27 1996 The principle branch of solutions of a nonlinear elliptic eigenvalue problem on \(\mathbb{R}^ N\). Zbl 0842.35029Edelson, A. L.; Stuart, C. A. 6 1996 Cylindrical TM-modes in a homogeneous self-focusing dielectric. Zbl 0934.35190Stuart, C. A. 2 1996 Bifurcation into spectral gaps. Zbl 0864.47037Stuart, Charles A. 25 1995 Global branches of positive weak solutions of semilinear elliptic problems over nonsmooth domains. Zbl 0801.35004Healey, Timothy J.; Kielhöfer, Hansjörg; Stuart, Charles A. 3 1994 Guidance properties of a cylindrical defocusing waveguide. Zbl 0819.35137John, Oldřich; Stuart, Charles A. 2 1994 Existence of a nontrivial solution to a strongly indefinite semilinear equation. Zbl 0789.35052Buffoni, B.; Jeanjean, L.; Stuart, C. A. 57 1993 Guidance properties of nonlinear planar waveguides. Zbl 0801.35136Stuart, C. A. 35 1993 Estimating the critical radius for radially symmetric cavitation. Zbl 0790.73016Stuart, C. A. 4 1993 Existence and bifurcation of solutions for nonlinear perturbations of the periodic Schrödinger equation. Zbl 0767.35006Heinz, H.-P.; Küpper, T.; Stuart, C. A. 28 1992 Solvability of nonlinear equations in spectral gaps of the linearization. Zbl 0777.47033Heinz, H.-P.; Stuart, C. A. 11 1992 Necessary and sufficient conditions for gap-bifurcation. Zbl 0797.47037Küpper, T.; Stuart, C. A. 9 1992 Homoclinic orbits for eventually autonomous planar flows. Zbl 0757.34038Holmes, P. J.; Stuart, C. A. 6 1992 An exact reduction of Maxwell’s equations. Zbl 0797.34035McLeod, J. B.; Stuart, C. A.; Troy, W. C. 4 1992 Bifurcation at boundary points of the continuous spectrum. Zbl 0765.34027Küpper, Tassilo; Stuart, Charles A. 1 1992 Self-trapping of an electromagnetic field and bifurcation from the essential spectrum. Zbl 0745.35044Stuart, C. A. 28 1991 Bifurcation into gaps in the essential spectrum. Zbl 0697.47063Küpper, Tassilo; Stuart, Charles A. 10 1990 Gap-bifurcation for nonlinear perturbations of Hill’s equation. Zbl 0704.34012Küpper, Tassilo; Stuart, Charles A. 6 1990 Bifurcation from the essential spectrum for some non-compact nonlinearities. Zbl 0678.58013Stuart, C. A. 17 1989 Bifurcation of homoclinic orbits and bifurcation from the essential spectrum. Zbl 0704.34025Stuart, C. A. 7 1989 Bifurcation in \(L^ p({\mathbb{R}}^ N)\) for a semilinear elliptic equation. Zbl 0673.35005Stuart, C. A. 35 1988 Partial differential equations for engineers. Theory and numerical methods. Vol. 1 and 2. Zbl 0697.35002Cuvelier, C.; Descloux, J.; Rappaz, J.; Stuart, C; Zwahlen, B. 1 1988 The behaviour of branches of solutions of nonlinear eigenvalue problems. Zbl 0667.34027Stuart, C. A. 1 1987 Bifurcation in \(L^ p({\mathbb{R}})\) for a semilinear equation. Zbl 0635.34026Stuart, C. A. 7 1986 Radially symmetric cavitation for hyperelastic materials. Zbl 0588.73021Stuart, C. A. 25 1985 A global branch of solutions to a semilinear equation on an unbounded interval. Zbl 0582.34010Stuart, C. A. 15 1985 Quasiconvexity and uniqueness of equilibrium solutions in nonlinear elasticity. Zbl 0589.73017Knops, R. J.; Stuart, C. A. 63 1984 Bifurcation from the essential spectrum. Zbl 0527.35010Stuart, C. A. 12 1983 A variational approach to bifurcation in \(L^ p \)on an unbounded symmetrical domain. Zbl 0513.35068Stuart, C. A. 12 1983 Quasinormal cones in Banach spaces. Zbl 0514.47043Dancer, E. Norman; Nussbaum, Roger D.; Stuart, Charles 5 1983 Bifurcation for Dirichlet problems without eigenvalues. Zbl 0505.35010Stuart, C. A. 57 1982 A variational method for boundary value problems with discontinuous nonlinearities. Zbl 0434.35042Stuart, C. A.; Toland, J. F. 31 1980 Bifurcation for variational problems when the linearisation has no eigenvalues. Zbl 0458.47048Stuart, C. A. 24 1980 Bifurcation for Neumann problems without eigenvalues. Zbl 0468.34009Stuart, C. A. 16 1980 A property of solutions of elliptic differential equations with discontinuous nonlinearities. Zbl 0434.35043Stuart, C. A.; Toland, J. F. 7 1980 A uniqueness theorem for fixed points. Zbl 0438.47055Smith, H. L.; Stuart, C. A. 5 1980 Positive eigenvectors of k-set contractions. Zbl 0422.47030Massabó, Ivar; Stuart, Charles A. 11 1979 An introduction to bifurcation theory based on differential calculus. Zbl 0446.58005Stuart, C. A. 9 1979 Bifurcation pour les problèmes de Dirichlet et de Neumann sans valeurs propres. Zbl 0397.34079Stuart, Charles 6 1979 A variational method for bifurcation problems when the linearization has no eigenvalues. Zbl 0432.47037Stuart, C. A. 3 1979 Maximal and minimal solutions of elliptic differential equations with discontinuous non-linearities. Zbl 0403.35036Stuart, Charles A. 32 1978 Elliptic eigenvalue problems with discontinuous nonlinearities. Zbl 0408.35070Massabó, Ivar; Stuart, Charles A. 14 1978 Bifurcation when the linearized problem has no eigenvalues. Zbl 0419.34010Chiappinelli, R.; Stuart, C. A. 11 1978 ...and 25 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 882 Authors 54 Stuart, Charles Alexander 21 Yang, Minbo 20 Zhou, Huan-Song 14 Hajaiej, Hichem 13 Ding, Yanheng 13 Jeanjean, Louis 13 Maia, Liliane A. 13 Rabier, Patrick J. 12 Papageorgiou, Nikolaos S. 12 Zhang, Zhijun 11 Küpper, Tassilo 10 Sivaloganathan, Jeyabal 9 Alves, Claudianor Oliveira 9 Darwish, Mohamed Abdalla 9 Gao, Fashun 9 Genoud, François 9 Li, Gongbao 9 Petryshyn, Walter Wolodymyr 9 Toland, John Francis 8 Bartsch, Thomas J. 8 Heinz, Hans-Peter 8 Mederski, Jarosław 8 Szulkin, Andrzej 8 Zou, Wenming 7 Ackermann, Nils 7 Canino, Annamaria 7 Liu, Xiangqing 7 Pavlenko, Vyacheslav Nikolaevich 7 Pejsachowicz, Jacobo 7 Potapov, Dmitriĭ Konstantinovich 7 Ruppen, Hans-Jörg 7 Spector, Scott J. 7 Tang, Xianhua 6 Antman, Stuart S. 6 Carl, Siegfried 6 Chiappinelli, Raffaele 6 Kim, In-Sook 6 Lions, Pierre-Louis 6 Luo, Xiao 6 McKenna, Patrick Joseph 6 Qin, Dongdong 6 Sciunzi, Berardino 6 Squassina, Marco 6 Taheri, Ali 6 Watanabe, Tatsuya 6 Zhang, Fubao 5 Ambrosetti, Antonio 5 Arcoya, David 5 Bevan, Jonathan J. 5 Evéquoz, Gilles 5 Khalique, Chaudry Masood 5 Kim, Yunho 5 Lehrer, Raquel 5 Marano, Salvatore Angelo 5 Pellacci, Benedetta 5 Ruviaro, Ricardo 5 Wang, Zhi-Qiang 5 Weth, Tobias 5 Wu, Tsungfang 5 Zeng, Xiaoyu 5 Zhou, Zhan 4 Amick, Charles J. 4 Bieganowski, Bartosz 4 Buffoni, Boris 4 Cappiello, Marco 4 Chabrowski, Jan H. 4 Chen, Kuan-Ju 4 Cheviakov, Alexei F. 4 Choi, Yung-Sze 4 Coclite, Mario Michele 4 Diaz Diaz, Jesus Ildefonso 4 Dohnal, Tomáš 4 Fiacca, Antonella 4 Figueiredo, Giovany Malcher 4 Fitzpatrick, Patrick Michael 4 Abreu Goncalves, Jose Valdo 4 Gramchev, Todor V. 4 Guzmán, Carlos M. 4 Hai, Dang Dinh 4 Halidias, Nikolaos 4 Huang, Yisheng 4 Jia, HuiFang 4 Knops, Robin J. 4 Lin, Genghong 4 Medeiros, Everaldo S. 4 Montefusco, Eugenio 4 Muatjetjeja, Ben 4 Oliva, Francescantonio 4 Onninen, Jani 4 Pankov, Alexander A. 4 Pastor, Ademir 4 Pei, Ruichang 4 Pelinovsky, Dmitry Efimovich 4 Quintanilla de Latorre, Ramón 4 Rădulescu, Vicenţiu D. 4 Rodino, Luigi 4 Shahrokhi-Dehkordi, Mohammad Sadegh 4 Shen, Zifei 4 Soave, Nicola 4 Wang, Jun ...and 782 more Authors all top 5 Cited in 181 Serials 89 Journal of Differential Equations 89 Nonlinear Analysis. 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