Edit Profile (opens in new tab) Stuart, Charles Alexander Co-Author Distance Author ID: stuart.charles-a Published as: Stuart, C. A.; Stuart, Charles A.; Stuart, Charles; Stuart, Charles Alexander; Stuart, C more...less Homepage: https://people.epfl.ch/charles.stuart External Links: MGP · dblp Documents Indexed: 139 Publications since 1971, including 2 Books 3 Further Contributions Co-Authors: 33 Co-Authors with 63 Joint Publications 981 Co-Co-Authors 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 Arioli, Gianni 1 Brand, Thomas 1 Buffoni, Boris 1 Burdett, Kenneth 1 Chiappinelli, Raffaele 1 Classen, K. 1 Cuvelier, C. 1 Dancer, Edward Norman 1 Danford, J. 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 Kiefer, Nicholas M. 1 Kielhöfer, Hansjörg 1 Knops, Robin J. 1 Kormendi, R. 1 Kunze, Markus 1 Lippman, Steven A. 1 McCall, John J. 1 Potter, Anthony J. B. 1 Rappaz, Jacques 1 Schneider, Guido 1 Secchi, Simone 1 Seelbach, Thorsten 1 Smith, Hal Leslie 1 Szulkin, Andrzej 1 Wharton, J. 1 Widle, L. all top 5 Serials 10 Journal of Differential Equations 9 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 8 Archive for Rational Mechanics and Analysis 7 Journal of the London Mathematical Society. Second Series 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 1 Berichte der Gesellschaft für Mathematik und Datenverarbeitung, Bonn all top 5 Fields 76 Partial differential equations (35-XX) 61 Operator theory (47-XX) 46 Ordinary differential equations (34-XX) 18 Global analysis, analysis on manifolds (58-XX) 17 Optics, electromagnetic theory (78-XX) 11 Mechanics of deformable solids (74-XX) 8 Dynamical systems and ergodic theory (37-XX) 8 Calculus of variations and optimal control; optimization (49-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 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 132 Publications have been cited 1,931 times in 1,253 Documents Cited by ▼ Year ▼ A semilinear Schrödinger equation in the presence of a magnetic field. Zbl 1051.35082 Arioli, Gianni; Szulkin, Andrzej 119 2003 Existence and approximation of solutions of non-linear elliptic equations. Zbl 0324.35037 Stuart, Charles A. 103 1976 Bifurcation for Dirichlet problems without eigenvalues. Zbl 0505.35010 Stuart, C. A. 79 1982 Schrödinger equations with a spatially decaying nonlinearity: existence and stability of standing waves. Zbl 1154.35082 Genoud, François; Stuart, Charles A. 77 2008 Existence of a nontrivial solution to a strongly indefinite semilinear equation. Zbl 0789.35052 Buffoni, B.; Jeanjean, L.; Stuart, C. A. 76 1993 Quasiconvexity and uniqueness of equilibrium solutions in nonlinear elasticity. Zbl 0589.73017 Knops, R. J.; Stuart, C. A. 74 1984 Applying the mountain pass theorem to an asymptotically linear elliptic equation on \(\mathbb{R}^N\). Zbl 0935.35043 Stuart, C. A.; Zhou, H. S. 73 1999 Guidance properties of nonlinear planar waveguides. Zbl 0801.35136 Stuart, C. A. 59 1993 Existence theorems for a class of non-linear integral equations. Zbl 0289.45013 Stuart, C. A. 46 1974 Bifurcation in \(L^ p({\mathbb{R}}^ N)\) for a semilinear elliptic equation. Zbl 0673.35005 Stuart, C. A. 43 1988 Some bifurcation theory for \(k\)-set contractions. Zbl 0268.47064 Stuart, C. A. 41 1973 Self-trapping of an electromagnetic field and bifurcation from the essential spectrum. Zbl 0745.35044 Stuart, C. A. 38 1991 Global branch of solutions for non-linear Schrödinger equations with deepening potential well. Zbl 1225.35091 Stuart, C. A.; Zhou, Huansong 38 2006 On the variational approach to the stability of standing waves for the nonlinear Schrödinger equation. Zbl 1068.35155 Hajaiej, H.; Stuart, C. A. 36 2004 Bifurcation into spectral gaps. Zbl 0864.47037 Stuart, Charles A. 34 1995 Bifurcation from the essential spectrum for some non-compact nonlinearities. Zbl 0678.58013 Stuart, C. A. 34 1989 Bifurcation for variational problems when the linearisation has no eigenvalues. Zbl 0458.47048 Stuart, C. A. 34 1980 Maximal and minimal solutions of elliptic differential equations with discontinuous non-linearities. Zbl 0403.35036 Stuart, Charles A. 33 1978 A variational problem related to self-trapping of an electromagnetic field. Zbl 0862.35123 Stuart, C. A.; Zhou, H. S. 32 1996 A variational method for boundary value problems with discontinuous nonlinearities. Zbl 0434.35042 Stuart, C. A.; Toland, J. F. 30 1980 Radially symmetric cavitation for hyperelastic materials. Zbl 0588.73021 Stuart, C. A. 29 1985 Existence and bifurcation of solutions for nonlinear perturbations of the periodic Schrödinger equation. Zbl 0767.35006 Heinz, H.-P.; Küpper, T.; Stuart, C. A. 28 1992 Lectures on the orbital stability of standing waves and application to the nonlinear Schrödinger equation. Zbl 1179.37101 Stuart, C. A. 28 2008 Non-compact positive operators. Zbl 0232.47035 Edmunds, D. E.; Potter, A. J. B.; Stuart, C. A. 28 1972 Existence theory for the Hartree equation. Zbl 0287.34032 Stuart, C. A. 25 1973 Fredholm and properness properties of quasilinear elliptic operators on \(\mathbb{R}^N\). Zbl 0991.35021 Rabier, Patrick J.; Stuart, Charles A. 24 2001 Axisymmetric TE-modes in a self-focusing dielectric. Zbl 1099.78013 Stuart, Charles A.; Zhou, Huan-Song 21 2005 Existence of guided cylindrical TM-modes in an inhomogeneous self-focusing dielectric. Zbl 1219.35151 Stuart, C. A.; Zhou, Huan-Song 20 2010 Fredholm and properness properties of quasilinear elliptic systems of second order. Zbl 1210.35091 Gebran, Hicham G.; Stuart, Charles A. 20 2005 Hadamard differentiability and bifurcation. Zbl 1134.35014 Evéquoz, G.; Stuart, C. A. 20 2007 Exponential decay of the solutions of quasilinear second-order equations and Pohozaev identities. Zbl 0965.35046 Rabier, Patrick J.; Stuart, Charles A. 18 2000 Locating Cerami sequences in a mountain pass geometry. Zbl 1232.58007 Stuart, C. A. 18 2011 Solutions of large norm for nonlinear Sturm-Liouville problems. Zbl 0257.34021 Stuart, C. A. 18 1973 An introduction to elliptic equations on \(\mathbb{R}^N\). Zbl 0956.35028 Stuart, C. A. 16 1998 Bifurcation for Neumann problems without eigenvalues. Zbl 0468.34009 Stuart, C. A. 16 1980 Elliptic eigenvalue problems with discontinuous nonlinearities. Zbl 0408.35070 Massabó, Ivar; Stuart, Charles A. 16 1978 A global branch of solutions to a semilinear equation on an unbounded interval. Zbl 0582.34010 Stuart, C. A. 15 1985 Differential equations with discontinuous non-linearities. Zbl 0393.34010 Stuart, C. A. 15 1976 A global result applicable to non-linear Steklov problems. Zbl 0276.35037 Stuart, C. A.; Toland, J. F. 15 1974 Global properties of components of solutions of non-linear second order ordinary differential equations on the half-line. Zbl 0326.34034 Stuart, Charles A. 14 1975 A variational approach to bifurcation in \(L^ p \)on an unbounded symmetrical domain. Zbl 0513.35068 Stuart, C. A. 13 1983 An introduction to bifurcation theory based on differential calculus. Zbl 0446.58005 Stuart, C. A. 13 1979 Bifurcation into gaps in the essential spectrum. Zbl 0697.47063 Küpper, Tassilo; Stuart, Charles A. 12 1990 A constrained minimization problem and its application to guided cylindrical TM-modes in an anisotropic self-focusing dielectric. Zbl 1036.49004 Stuart, C. A.; Zhou, H. S. 12 2003 Symmetrization inequalities for composition operators of Carathéodory type. Zbl 1052.26020 Hajaiej, H.; Stuart, C. A. 12 2003 Positive solutions of a non-linear integral equation. Zbl 0203.42101 Stuart, C. A. 12 1971 Bifurcation from the essential spectrum. Zbl 0888.47045 Stuart, C. A. 12 1997 An example in nonlinear functional analysis: The Hartree equation. Zbl 0311.47032 Stuart, C. A. 11 1975 Solvability of nonlinear equations in spectral gaps of the linearization. Zbl 0777.47033 Heinz, H.-P.; Stuart, C. A. 11 1992 Existence of guided cylindrical TM-modes in a homogeneous self-focusing dielectric. Zbl 0992.78006 Stuart, Charles A.; Zhou, Huan-Song 11 2001 Exponential decay and Fredholm properties in second-order quasilinear elliptic systems. Zbl 1194.35181 Gebran, Hicham G.; Stuart, Charles A. 11 2010 Bifurcation from the essential spectrum. Zbl 0527.35010 Stuart, C. A. 11 1983 Bifurcation when the linearized problem has no eigenvalues. Zbl 0419.34010 Chiappinelli, R.; Stuart, C. A. 11 1978 Positive eigenvectors of k-set contractions. Zbl 0422.47030 Massabó, Ivar; Stuart, Charles A. 11 1979 Bifurcation at isolated singular points of the Hadamard derivative. Zbl 1322.47060 Stuart, C. A. 10 2014 Hopf bifurcation and exchange of stability in diffusive media. Zbl 1064.35021 Brand, Thomas; Kunze, Markus; Schneider, Guido; Seelbach, Thorsten 10 2004 Existence and non-existence of Schwarz symmetric ground states for elliptic eigenvalue problems. Zbl 1099.49002 Stuart, C. A.; Hajaiej, H. 10 2005 A property of solutions of elliptic differential equations with discontinuous nonlinearities. Zbl 0434.35043 Stuart, C. A.; Toland, J. F. 10 1980 Global bifurcation for quasilinear elliptic equations on \({\mathbb R}^N\). Zbl 1018.35033 Rabier, P. J.; Stuart, C. A. 10 2001 Branches of solutions to semilinear elliptic equations on \(\mathbb{R}^N\). Zbl 0955.35058 Jeanjean, H.; Lucia, M.; Stuart, C. A. 9 1999 On differentiability and bifurcation. Zbl 1107.47048 Evéquoz, Gilles; Stuart, Charles Alexander 9 2006 A Sobolev space approach to boundary value problems on the half-line. Zbl 1087.34006 Rabier, Patrick J.; Stuart, Charles A. 9 2005 Bifurcation for some non-Fréchet differentiable problems. Zbl 1157.47045 Stuart, C. A. 9 2008 Buckling of a heavy tapered rod. Zbl 1056.74019 Stuart, Charles A. 9 2001 The number of solutions of boundary value problems with discontinuous non-linearities. Zbl 0388.34012 Stuart, C. A. 9 1977 Necessary and sufficient conditions for gap-bifurcation. Zbl 0797.47037 Küpper, T.; Stuart, C. A. 8 1992 Bifurcation and concentration of radial solutions of a nonlinear degenerate elliptic eigenvalue problem. Zbl 1194.35193 Evéquoz, G.; Stuart, C. A. 8 2006 Global bifurcation of homoclinic solutions of Hamiltonian systems. Zbl 1042.37046 Secchi, S.; Stuart, C. A. 8 2003 Boundary value problems for first order systems on the half-line. Zbl 1090.34014 Rabier, Patrick J.; Stuart, Charles A. 8 2005 The fixed point index of a linear k-set contraction. Zbl 0252.47064 Stuart, C. A.; Toland, J. F. 8 1973 Concave solutions of singular non-linear differential equations. Zbl 0281.47040 Stuart, C. A. 8 1974 Bifurcation in \(L^ p({\mathbb{R}})\) for a semilinear equation. Zbl 0635.34026 Stuart, C. A. 7 1986 Bifurcation of homoclinic orbits and bifurcation from the essential spectrum. Zbl 0704.34025 Stuart, C. A. 7 1989 Nonlinear eigenvalue problems having an unbounded branch of symmetric bound states. Zbl 0958.34017 Jeanjean, H.; Stuart, C. A. 7 1999 Homoclinic orbits for eventually autonomous planar flows. Zbl 0757.34038 Holmes, P. J.; Stuart, C. A. 7 1992 Gap-bifurcation for nonlinear perturbations of Hill’s equation. Zbl 0704.34012 Küpper, Tassilo; Stuart, Charles A. 7 1990 Extensions of the Hardy-Littlewood inequalities for Schwarz symmetrization. Zbl 1086.26013 Hajaiej, H.; Stuart, C. A. 7 2004 On the spectral theory of a tapered rod. Zbl 1020.34076 Stuart, C. A. 7 2002 The measure of non-compactness of some linear integral operators. Zbl 0314.47029 Stuart, C. A. 7 1973 Buckling of a critically tapered rod: properties of some global branches of solutions. Zbl 1094.47051 Stuart, C. A.; Vuillaume, G. 7 2004 Bifurcation points of a degenerate elliptic boundary-value problem. Zbl 1113.35067 Evéquoz, Gilles; Stuart, C. A. 7 2006 Asymptotic bifurcation and second order elliptic equations on \(\mathbb{R}^N\). Zbl 1330.35187 Stuart, C. A. 6 2015 Bifurcation pour les problèmes de Dirichlet et de Neumann sans valeurs propres. Zbl 0397.34079 Stuart, Charles 6 1979 An exact reduction of Maxwell’s equations. Zbl 0797.34035 McLeod, J. B.; Stuart, C. A.; Troy, W. C. 6 1992 The principle branch of solutions of a nonlinear elliptic eigenvalue problem on \(\mathbb{R}^ N\). Zbl 0842.35029 Edelson, A. L.; Stuart, C. A. 6 1996 Fredholm properties of Schrödinger operators in \(L^P(\mathbb{R}^N)\). Zbl 0989.47036 Rabier, P. J.; Stuart, C. A. 6 2000 Buckling of a critically tapered rod: Global bifurcation. Zbl 1065.47067 Stuart, C. A.; Vuillaume, G. 6 2003 Spectral theory of rotating chains. Zbl 0342.34015 Stuart, C. A. 6 1975 Modelling axi-symmetric travelling waves in a dielectric with nonlinear refractive index. Zbl 1225.35231 Stuart, C. A. 6 2004 Estimating the critical radius for radially symmetric cavitation. Zbl 0790.73016 Stuart, C. A. 5 1993 Bifurcation at isolated singular points for a degenerate elliptic eigenvalue problem. Zbl 1326.35027 Stuart, C. A. 5 2015 Uniqueness and stability of ground states for some nonlinear Schrödinger equations. Zbl 1245.35120 Stuart, C. A. 5 2006 Spectrum of a self-adjoint operator and Palais-Smale conditions. Zbl 0961.47002 Stuart, C. A. 5 2000 Quasinormal cones in Banach spaces. Zbl 0514.47043 Dancer, E. Norman; Nussbaum, Roger D.; Stuart, Charles 5 1983 A uniqueness theorem for fixed points. Zbl 0438.47055 Smith, H. L.; Stuart, C. A. 5 1980 Integral equations with decreasing nonlinearities and applications. Zbl 0304.45004 Stuart, C. A. 5 1975 Asymptotic linearity and Hadamard differentiability. Zbl 1269.46027 Stuart, C. A. 5 2012 Existence and stability of TE modes in a stratified nonlinear dielectric. Zbl 1138.78316 Stuart, C. A. 5 2007 Bifurcation without Fréchet differentiability at the trivial solution. Zbl 1372.47071 Stuart, C. A. 4 2015 Bifurcation and decay of solutions for a class of elliptic equations on \(\mathbb{R}^N\). Zbl 1236.35010 Stuart, C. A. 4 2011 A critically degenerate elliptic Dirichlet problem, spectral theory and bifurcation. Zbl 1473.35239 Stuart, C. A. 4 2020 Stability analysis for a family of degenerate semilinear parabolic problems. Zbl 1394.35252 Stuart, Charles A. 1 2018 Criteria for the existence of a potential well. Zbl 1369.49031 Stuart, C. A. 2 2017 A potential well for an integral functional with singular Lagrangian. Zbl 1454.35088 Stuart, C. A. 1 2017 Bifurcation points of a singular boundary-value problem on \((0,1)\). Zbl 1335.34054 Stuart, Charles A. 3 2016 Asymptotic bifurcation and second order elliptic equations on \(\mathbb{R}^N\). Zbl 1330.35187 Stuart, C. A. 6 2015 Bifurcation at isolated singular points for a degenerate elliptic eigenvalue problem. Zbl 1326.35027 Stuart, C. A. 5 2015 Bifurcation without Fréchet differentiability at the trivial solution. Zbl 1372.47071 Stuart, C. A. 4 2015 Bifurcation at isolated singular points of the Hadamard derivative. Zbl 1322.47060 Stuart, C. A. 10 2014 Bifurcation at isolated eigenvalues for some elliptic equations on \(\mathbb{R}^{N}\). Zbl 1333.35145 Stuart, C. A. 1 2014 Asymptotic linearity and Hadamard differentiability. Zbl 1269.46027 Stuart, C. A. 5 2012 Locating Cerami sequences in a mountain pass geometry. Zbl 1232.58007 Stuart, C. A. 18 2011 Bifurcation and decay of solutions for a class of elliptic equations on \(\mathbb{R}^N\). Zbl 1236.35010 Stuart, C. A. 4 2011 Two positive solutions of a quasilinear elliptic Dirichlet problem. Zbl 1245.35056 Stuart, C. A. 3 2011 Existence of guided cylindrical TM-modes in an inhomogeneous self-focusing dielectric. Zbl 1219.35151 Stuart, C. A.; Zhou, Huan-Song 20 2010 Exponential decay and Fredholm properties in second-order quasilinear elliptic systems. Zbl 1194.35181 Gebran, Hicham G.; Stuart, Charles A. 11 2010 Global continuation for quasilinear elliptic systems on \(\mathbb{R}^N\) and the equations of elastostatics. Zbl 1198.35044 Gebran, Hicham G.; Stuart, Charles A. 4 2009 Schrödinger equations with a spatially decaying nonlinearity: existence and stability of standing waves. Zbl 1154.35082 Genoud, François; Stuart, Charles A. 77 2008 Lectures on the orbital stability of standing waves and application to the nonlinear Schrödinger equation. Zbl 1179.37101 Stuart, C. A. 28 2008 Bifurcation for some non-Fréchet differentiable problems. Zbl 1157.47045 Stuart, C. A. 9 2008 Hadamard differentiability and bifurcation. Zbl 1134.35014 Evéquoz, G.; Stuart, C. A. 20 2007 Existence and stability of TE modes in a stratified nonlinear dielectric. Zbl 1138.78316 Stuart, C. A. 5 2007 Global branch of solutions for non-linear Schrödinger equations with deepening potential well. Zbl 1225.35091 Stuart, C. A.; Zhou, Huansong 38 2006 On differentiability and bifurcation. Zbl 1107.47048 Evéquoz, Gilles; Stuart, Charles Alexander 9 2006 Bifurcation and concentration of radial solutions of a nonlinear degenerate elliptic eigenvalue problem. Zbl 1194.35193 Evéquoz, G.; Stuart, C. A. 8 2006 Bifurcation points of a degenerate elliptic boundary-value problem. Zbl 1113.35067 Evéquoz, Gilles; Stuart, C. A. 7 2006 Uniqueness and stability of ground states for some nonlinear Schrödinger equations. Zbl 1245.35120 Stuart, C. A. 5 2006 Axisymmetric TE-modes in a self-focusing dielectric. Zbl 1099.78013 Stuart, Charles A.; Zhou, Huan-Song 21 2005 Fredholm and properness properties of quasilinear elliptic systems of second order. Zbl 1210.35091 Gebran, Hicham G.; Stuart, Charles A. 20 2005 Existence and non-existence of Schwarz symmetric ground states for elliptic eigenvalue problems. Zbl 1099.49002 Stuart, C. A.; Hajaiej, H. 10 2005 A Sobolev space approach to boundary value problems on the half-line. Zbl 1087.34006 Rabier, Patrick J.; Stuart, Charles A. 9 2005 Boundary value problems for first order systems on the half-line. Zbl 1090.34014 Rabier, Patrick J.; Stuart, Charles A. 8 2005 Positive eigenfunctions of a Schrödinger operator. Zbl 1095.35020 Stuart, C. A.; Zhou, Huan-Song 4 2005 On the variational approach to the stability of standing waves for the nonlinear Schrödinger equation. Zbl 1068.35155 Hajaiej, H.; Stuart, C. A. 36 2004 Hopf bifurcation and exchange of stability in diffusive media. Zbl 1064.35021 Brand, Thomas; Kunze, Markus; Schneider, Guido; Seelbach, Thorsten 10 2004 Extensions of the Hardy-Littlewood inequalities for Schwarz symmetrization. Zbl 1086.26013 Hajaiej, H.; Stuart, C. A. 7 2004 Buckling of a critically tapered rod: properties of some global branches of solutions. Zbl 1094.47051 Stuart, C. A.; Vuillaume, G. 7 2004 Modelling axi-symmetric travelling waves in a dielectric with nonlinear refractive index. Zbl 1225.35231 Stuart, C. A. 6 2004 A semilinear Schrödinger equation in the presence of a magnetic field. Zbl 1051.35082 Arioli, Gianni; Szulkin, Andrzej 119 2003 A constrained minimization problem and its application to guided cylindrical TM-modes in an anisotropic self-focusing dielectric. Zbl 1036.49004 Stuart, C. A.; Zhou, H. S. 12 2003 Symmetrization inequalities for composition operators of Carathéodory type. Zbl 1052.26020 Hajaiej, H.; Stuart, C. A. 12 2003 Global bifurcation of homoclinic solutions of Hamiltonian systems. Zbl 1042.37046 Secchi, S.; Stuart, C. A. 8 2003 Buckling of a critically tapered rod: Global bifurcation. Zbl 1065.47067 Stuart, C. A.; Vuillaume, G. 6 2003 Stability of standing waves for some nonlinear Schrödinger equations. Zbl 1037.34022 McLeod, J. B.; Stuart, C. A.; Troy, W. C. 4 2003 Application of elliptic regularity to bifurcation in stationary nonlinear Schrödinger equations. Zbl 1034.35036 Rabier, Patrick J.; Stuart, Charles A. 2 2003 On the spectral theory of a tapered rod. Zbl 1020.34076 Stuart, C. A. 7 2002 Fredholm and properness properties of quasilinear elliptic operators on \(\mathbb{R}^N\). Zbl 0991.35021 Rabier, Patrick J.; Stuart, Charles A. 24 2001 Existence of guided cylindrical TM-modes in a homogeneous self-focusing dielectric. Zbl 0992.78006 Stuart, Charles A.; Zhou, Huan-Song 11 2001 Global bifurcation for quasilinear elliptic equations on \({\mathbb R}^N\). Zbl 1018.35033 Rabier, P. J.; Stuart, C. A. 10 2001 Buckling of a heavy tapered rod. Zbl 1056.74019 Stuart, Charles A. 9 2001 A discretised nonlinear eigenvalue problem with many spurious branches of solutions. Zbl 0992.47031 Stuart, C. A.; Vuillaume, G. 1 2001 Exponential decay of the solutions of quasilinear second-order equations and Pohozaev identities. Zbl 0965.35046 Rabier, Patrick J.; Stuart, Charles A. 18 2000 Fredholm properties of Schrödinger operators in \(L^P(\mathbb{R}^N)\). Zbl 0989.47036 Rabier, P. J.; Stuart, C. A. 6 2000 Spectrum of a self-adjoint operator and Palais-Smale conditions. Zbl 0961.47002 Stuart, C. A. 5 2000 Buckling of a tapered elastica. Zbl 0994.74027 Stuart, Charles A. 3 2000 Applying the mountain pass theorem to an asymptotically linear elliptic equation on \(\mathbb{R}^N\). Zbl 0935.35043 Stuart, C. A.; Zhou, H. S. 73 1999 Branches of solutions to semilinear elliptic equations on \(\mathbb{R}^N\). Zbl 0955.35058 Jeanjean, H.; Lucia, M.; Stuart, C. A. 9 1999 Nonlinear eigenvalue problems having an unbounded branch of symmetric bound states. Zbl 0958.34017 Jeanjean, H.; Stuart, C. A. 7 1999 The branch of positive solutions to a semilinear elliptic equation on \(\mathbb{R}^N\). Zbl 0933.35060 Jeanjean, H.; Lucia, M.; Stuart, C. A. 2 1999 An introduction to elliptic equations on \(\mathbb{R}^N\). Zbl 0956.35028 Stuart, C. A. 16 1998 Magnetic field wave equations for TM-modes in nonlinear optical waveguides. Zbl 0894.35111 Stuart, C. A. 1 1998 Bifurcation from the essential spectrum. Zbl 0888.47045 Stuart, C. A. 12 1997 A variational problem related to self-trapping of an electromagnetic field. Zbl 0862.35123 Stuart, C. A.; Zhou, H. S. 32 1996 The principle branch of solutions of a nonlinear elliptic eigenvalue problem on \(\mathbb{R}^ N\). Zbl 0842.35029 Edelson, A. L.; Stuart, C. A. 6 1996 Cylindrical TM-modes in a homogeneous self-focusing dielectric. Zbl 0934.35190 Stuart, C. A. 1 1996 Bifurcation into spectral gaps. Zbl 0864.47037 Stuart, Charles A. 34 1995 Global branches of positive weak solutions of semilinear elliptic problems over nonsmooth domains. Zbl 0801.35004 Healey, Timothy J.; Kielhöfer, Hansjörg; Stuart, Charles A. 3 1994 Guidance properties of a cylindrical defocusing waveguide. Zbl 0819.35137 John, Oldřich; Stuart, Charles A. 2 1994 Existence of a nontrivial solution to a strongly indefinite semilinear equation. Zbl 0789.35052 Buffoni, B.; Jeanjean, L.; Stuart, C. A. 76 1993 Guidance properties of nonlinear planar waveguides. Zbl 0801.35136 Stuart, C. A. 59 1993 Estimating the critical radius for radially symmetric cavitation. Zbl 0790.73016 Stuart, C. A. 5 1993 Existence and bifurcation of solutions for nonlinear perturbations of the periodic Schrödinger equation. Zbl 0767.35006 Heinz, H.-P.; Küpper, T.; Stuart, C. A. 28 1992 Solvability of nonlinear equations in spectral gaps of the linearization. Zbl 0777.47033 Heinz, H.-P.; Stuart, C. A. 11 1992 Necessary and sufficient conditions for gap-bifurcation. Zbl 0797.47037 Küpper, T.; Stuart, C. A. 8 1992 Homoclinic orbits for eventually autonomous planar flows. Zbl 0757.34038 Holmes, P. J.; Stuart, C. A. 7 1992 An exact reduction of Maxwell’s equations. Zbl 0797.34035 McLeod, J. B.; Stuart, C. A.; Troy, W. C. 6 1992 Bifurcation at boundary points of the continuous spectrum. Zbl 0765.34027 Küpper, Tassilo; Stuart, Charles A. 2 1992 Self-trapping of an electromagnetic field and bifurcation from the essential spectrum. Zbl 0745.35044 Stuart, C. A. 38 1991 Bifurcation into gaps in the essential spectrum. Zbl 0697.47063 Küpper, Tassilo; Stuart, Charles A. 12 1990 Gap-bifurcation for nonlinear perturbations of Hill’s equation. Zbl 0704.34012 Küpper, Tassilo; Stuart, Charles A. 7 1990 Bifurcation from the essential spectrum for some non-compact nonlinearities. Zbl 0678.58013 Stuart, C. A. 34 1989 Bifurcation of homoclinic orbits and bifurcation from the essential spectrum. Zbl 0704.34025 Stuart, C. A. 7 1989 Bifurcation in \(L^ p({\mathbb{R}}^ N)\) for a semilinear elliptic equation. Zbl 0673.35005 Stuart, C. A. 43 1988 Partial differential equations for engineers. Theory and numerical methods. Vol. 1 and 2. (Éléments d’équations aux dérivées partielles pour ingénieurs. Théorie et méthodes numériques. Vol. 1 et 2.) Zbl 0697.35002 Cuvelier, C.; Descloux, J.; Rappaz, J.; Stuart, C; Zwahlen, B. 1 1988 The behaviour of branches of solutions of nonlinear eigenvalue problems. Zbl 0667.34027 Stuart, C. A. 1 1987 Bifurcation from the continuous spectrum in \(L^ p({\mathbb{R}})\). Zbl 0657.35010 Stuart, C. A. 1 1987 Bifurcation in \(L^ p({\mathbb{R}})\) for a semilinear equation. Zbl 0635.34026 Stuart, C. A. 7 1986 Radially symmetric cavitation for hyperelastic materials. Zbl 0588.73021 Stuart, C. A. 29 1985 A global branch of solutions to a semilinear equation on an unbounded interval. Zbl 0582.34010 Stuart, C. A. 15 1985 Quasiconvexity and uniqueness of equilibrium solutions in nonlinear elasticity. Zbl 0589.73017 Knops, R. J.; Stuart, C. A. 74 1984 A variational approach to bifurcation in \(L^ p \)on an unbounded symmetrical domain. Zbl 0513.35068 Stuart, C. A. 13 1983 Bifurcation from the essential spectrum. Zbl 0527.35010 Stuart, C. A. 11 1983 Quasinormal cones in Banach spaces. Zbl 0514.47043 Dancer, E. Norman; Nussbaum, Roger D.; Stuart, Charles 5 1983 Bifurcation for Dirichlet problems without eigenvalues. Zbl 0505.35010 Stuart, C. A. 79 1982 Bifurcation for variational problems when the linearisation has no eigenvalues. Zbl 0458.47048 Stuart, C. A. 34 1980 A variational method for boundary value problems with discontinuous nonlinearities. Zbl 0434.35042 Stuart, C. A.; Toland, J. F. 30 1980 Bifurcation for Neumann problems without eigenvalues. Zbl 0468.34009 Stuart, C. A. 16 1980 A property of solutions of elliptic differential equations with discontinuous nonlinearities. Zbl 0434.35043 Stuart, C. A.; Toland, J. F. 10 1980 A uniqueness theorem for fixed points. Zbl 0438.47055 Smith, H. L.; Stuart, C. A. 5 1980 An introduction to bifurcation theory based on differential calculus. Zbl 0446.58005 Stuart, C. A. 13 1979 ...and 32 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,169 Authors 54 Stuart, Charles Alexander 25 Yang, Minbo 21 Hajaiej, Hichem 20 Zhou, Huan-Song 18 Ding, Yanheng 18 Jeanjean, Louis 14 Maia, Liliane A. 14 Mederski, Jarosław 13 Tang, Xianhua 13 Zhang, Zhijun 12 Alves, Claudianor Oliveira 12 Gao, Fashun 12 Papageorgiou, Nikolaos S. 12 Rabier, Patrick J. 12 Vougalter, Vitali 11 Küpper, Tassilo 10 Darwish, Mohamed Abdalla 10 Dinh, Van Duong 10 Qin, Dongdong 10 Wu, Tsungfang 9 Cardoso, Mykael 9 Efendiev, Messoud 9 Genoud, François 9 Li, Gongbao 9 Petryshyn, Walter Wolodymyr 9 Szulkin, Andrzej 9 Toland, John Francis 9 Zou, Wenming 8 Bartsch, Thomas J. 8 Farah, Luiz Gustavo 8 Figueiredo, Giovany Malcher 8 Guzmán, Carlos M. 8 Heinz, Hans-Peter 8 Sivaloganathan, Jeyabal 8 Spector, Scott J. 8 Weth, Tobias 8 Zhou, Zhan 7 Ackermann, Nils 7 Canino, Annamaria 7 Chiappinelli, Raffaele 7 Hai, Dang Dinh 7 Liu, Xiangqing 7 Luo, Xiao 7 Pavlenko, Vyacheslav Nikolaevich 7 Pejsachowicz, Jacobo 7 Potapov, Dmitriĭ Konstantinovich 7 Rădulescu, Vicenţiu D. 7 Ruppen, Hans-Jörg 7 Ruviaro, Ricardo 7 Sciunzi, Berardino 7 Watanabe, Tatsuya 7 Zhang, Fubao 7 Zhong, Xuexiu 6 Ambrosetti, Antonio 6 Antman, Stuart S. 6 Bieganowski, Bartosz 6 Campos, Luccas 6 Carl, Siegfried 6 Cingolani, Silvia 6 Dohnal, Tomáš 6 Evéquoz, Gilles 6 Kim, In-Sook 6 Lions, Pierre-Louis 6 Marano, Salvatore Angelo 6 McKenna, Patrick Joseph 6 Squassina, Marco 6 Taheri, Ali 6 Wang, Jun 6 Wang, Zhi-Qiang 6 Zeng, Xiaoyu 5 An, JinMyong 5 Arcoya, David 5 Bevan, Jonathan J. 5 Cao, Daomin 5 Cheviakov, Alexei F. 5 Abreu Goncalves, Jose Valdo 5 Jia, HuiFang 5 Khalique, Chaudry Masood 5 Kim, Jinmyong 5 Kim, Yunho 5 Lehrer, Raquel 5 Lin, Genghong 5 Oliva, Francescantonio 5 Pastor, Ademir 5 Pellacci, Benedetta 5 Reichel, Wolfgang 5 Schino, Jacopo 5 Shahrokhi-Dehkordi, Mohammad Sadegh 5 Shen, Zifei 5 Volpert, Vitaly A. 5 Wu, Qingfang 5 Xu, Tian 5 Zhang, Guoqing 5 Zhang, Jianjun 5 Zhao, Dun 5 Zhao, Fukun 4 Aliyev, Ziyatkhan S. 4 Amick, Charles J. 4 Buffoni, Boris 4 Cappiello, Marco ...and 1,069 more Authors all top 5 Cited in 227 Serials 102 Journal of Differential Equations 98 Nonlinear Analysis. 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