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## Stuart, Charles Alexander

Compute Distance To:
 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
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#### 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
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#### 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
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#### 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)

#### 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 0324.35037
Stuart, Charles A.
1976
Quasiconvexity and uniqueness of equilibrium solutions in nonlinear elasticity. Zbl 0589.73017
Knops, R. J.; Stuart, C. A.
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.
1999
Existence of a nontrivial solution to a strongly indefinite semilinear equation. Zbl 0789.35052
Buffoni, B.; Jeanjean, L.; Stuart, C. A.
1993
Bifurcation for Dirichlet problems without eigenvalues. Zbl 0505.35010
Stuart, C. A.
1982
Some bifurcation theory for $$k$$-set contractions. Zbl 0268.47064
Stuart, C. A.
1973
Existence theorems for a class of non-linear integral equations. Zbl 0289.45013
Stuart, C. A.
1974
Guidance properties of nonlinear planar waveguides. Zbl 0801.35136
Stuart, C. A.
1993
Bifurcation in $$L^ p({\mathbb{R}}^ N)$$ for a semilinear elliptic equation. Zbl 0673.35005
Stuart, C. A.
1988
Maximal and minimal solutions of elliptic differential equations with discontinuous non-linearities. Zbl 0403.35036
Stuart, Charles A.
1978
A variational method for boundary value problems with discontinuous nonlinearities. Zbl 0434.35042
Stuart, C. A.; Toland, J. F.
1980
Existence and bifurcation of solutions for nonlinear perturbations of the periodic Schrödinger equation. Zbl 0767.35006
Heinz, H.-P.; Küpper, T.; Stuart, C. A.
1992
Self-trapping of an electromagnetic field and bifurcation from the essential spectrum. Zbl 0745.35044
Stuart, C. A.
1991
A variational problem related to self-trapping of an electromagnetic field. Zbl 0862.35123
Stuart, C. A.; Zhou, H. S.
1996
Schrödinger equations with a spatially decaying nonlinearity: existence and stability of standing waves. Zbl 1154.35082
Genoud, François; Stuart, Charles A.
2008
Global branch of solutions for non-linear Schrödinger equations with deepening potential well. Zbl 1225.35091
Stuart, C. A.; Zhou, Huansong
2006
Bifurcation into spectral gaps. Zbl 0864.47037
Stuart, Charles A.
1995
Radially symmetric cavitation for hyperelastic materials. Zbl 0588.73021
Stuart, C. A.
1985
Bifurcation for variational problems when the linearisation has no eigenvalues. Zbl 0458.47048
Stuart, C. A.
1980
Non-compact positive operators. Zbl 0232.47035
Edmunds, D. E.; Potter, A. J. B.; Stuart, C. A.
1972
Lectures on the orbital stability of standing waves and application to the nonlinear Schrödinger equation. Zbl 1179.37101
Stuart, C. A.
2008
Existence theory for the Hartree equation. Zbl 0287.34032
Stuart, C. A.
1973
Bifurcation from the essential spectrum for some non-compact nonlinearities. Zbl 0678.58013
Stuart, C. A.
1989
Axisymmetric TE-modes in a self-focusing dielectric. Zbl 1099.78013
Stuart, Charles A.; Zhou, Huan-Song
2005
Bifurcation for Neumann problems without eigenvalues. Zbl 0468.34009
Stuart, C. A.
1980
Hadamard differentiability and bifurcation. Zbl 1134.35014
Evéquoz, G.; Stuart, C. A.
2007
On the variational approach to the stability of standing waves for the nonlinear Schrödinger equation. Zbl 1068.35155
Hajaiej, H.; Stuart, C. A.
2004
Exponential decay of the solutions of quasilinear second-order equations and Pohozaev identities. Zbl 0965.35046
Rabier, Patrick J.; Stuart, Charles A.
2000
A global branch of solutions to a semilinear equation on an unbounded interval. Zbl 0582.34010
Stuart, C. A.
1985
Fredholm and properness properties of quasilinear elliptic operators on $$\mathbb{R}^N$$. Zbl 0991.35021
Rabier, Patrick J.; Stuart, Charles A.
2001
Elliptic eigenvalue problems with discontinuous nonlinearities. Zbl 0408.35070
Massabó, Ivar; Stuart, Charles A.
1978
Differential equations with discontinuous non-linearities. Zbl 0393.34010
Stuart, C. A.
1976
Global properties of components of solutions of non-linear second order ordinary differential equations on the half-line. Zbl 0326.34034
Stuart, Charles A.
1975
A global result applicable to non-linear Steklov problems. Zbl 0276.35037
Stuart, C. A.; Toland, J. F.
1974
An introduction to elliptic equations on $$\mathbb{R}^N$$. Zbl 0956.35028
Stuart, C. A.
1998
Bifurcation from the essential spectrum. Zbl 0527.35010
Stuart, C. A.
1983
A variational approach to bifurcation in $$L^ p$$on an unbounded symmetrical domain. Zbl 0513.35068
Stuart, C. A.
1983
Solutions of large norm for nonlinear Sturm-Liouville problems. Zbl 0257.34021
Stuart, C. A.
1973
Solvability of nonlinear equations in spectral gaps of the linearization. Zbl 0777.47033
Heinz, H.-P.; Stuart, C. A.
1992
Positive eigenvectors of k-set contractions. Zbl 0422.47030
Massabó, Ivar; Stuart, Charles A.
1979
Bifurcation when the linearized problem has no eigenvalues. Zbl 0419.34010
Chiappinelli, R.; Stuart, C. A.
1978
An example in nonlinear functional analysis: The Hartree equation. Zbl 0311.47032
Stuart, C. A.
1975
Locating Cerami sequences in a mountain pass geometry. Zbl 1232.58007
Stuart, C. A.
2011
Existence of guided cylindrical TM-modes in an inhomogeneous self-focusing dielectric. Zbl 1219.35151
Stuart, C. A.; Zhou, Huan-Song
2010
Bifurcation into gaps in the essential spectrum. Zbl 0697.47063
Küpper, Tassilo; Stuart, Charles A.
1990
Fredholm and properness properties of quasilinear elliptic systems of second order. Zbl 1210.35091
Gebran, Hicham G.; Stuart, Charles A.
2005
Bifurcation from the essential spectrum. Zbl 0888.47045
Stuart, C. A.
1997
Necessary and sufficient conditions for gap-bifurcation. Zbl 0797.47037
Küpper, T.; Stuart, C. A.
1992
An introduction to bifurcation theory based on differential calculus. Zbl 0446.58005
Stuart, C. A.
1979
The number of solutions of boundary value problems with discontinuous non-linearities. Zbl 0388.34012
Stuart, C. A.
1977
Positive solutions of a non-linear integral equation. Zbl 0203.42101
Stuart, C. A.
1971
Bifurcation at isolated singular points of the Hadamard derivative. Zbl 1322.47060
Stuart, C. A.
2014
On differentiability and bifurcation. Zbl 1107.47048
Evéquoz, Gilles; Stuart, Charles Alexander
2006
A Sobolev space approach to boundary value problems on the half-line. Zbl 1087.34006
Rabier, Patrick J.; Stuart, Charles A.
2005
Buckling of a heavy tapered rod. Zbl 1056.74019
Stuart, Charles A.
2001
Global bifurcation for quasilinear elliptic equations on $${\mathbb R}^N$$. Zbl 1018.35033
Rabier, P. J.; Stuart, C. A.
2001
Existence of guided cylindrical TM-modes in a homogeneous self-focusing dielectric. Zbl 0992.78006
Stuart, Charles A.; Zhou, Huan-Song
2001
Branches of solutions to semilinear elliptic equations on $$\mathbb{R}^N$$. Zbl 0955.35058
Jeanjean, H.; Lucia, M.; Stuart, C. A.
1999
Concave solutions of singular non-linear differential equations. Zbl 0281.47040
Stuart, C. A.
1974
The fixed point index of a linear k-set contraction. Zbl 0252.47064
Stuart, C. A.; Toland, J. F.
1973
Bifurcation for some non-Fréchet differentiable problems. Zbl 1157.47045
Stuart, C. A.
2008
Bifurcation and concentration of radial solutions of a nonlinear degenerate elliptic eigenvalue problem. Zbl 1194.35193
Evéquoz, G.; Stuart, C. A.
2006
Existence and non-existence of Schwarz symmetric ground states for elliptic eigenvalue problems. Zbl 1099.49002
Stuart, C. A.; Hajaiej, H.
2005
Global bifurcation of homoclinic solutions of Hamiltonian systems. Zbl 1042.37046
Secchi, S.; Stuart, C. A.
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.
2003
Bifurcation of homoclinic orbits and bifurcation from the essential spectrum. Zbl 0704.34025
Stuart, C. A.
1989
Bifurcation in $$L^ p({\mathbb{R}})$$ for a semilinear equation. Zbl 0635.34026
Stuart, C. A.
1986
A property of solutions of elliptic differential equations with discontinuous nonlinearities. Zbl 0434.35043
Stuart, C. A.; Toland, J. F.
1980
Bifurcation points of a degenerate elliptic boundary-value problem. Zbl 1113.35067
Evéquoz, Gilles; Stuart, C. A.
2006
Boundary value problems for first order systems on the half-line. Zbl 1090.34014
Rabier, Patrick J.; Stuart, Charles A.
2005
Buckling of a critically tapered rod: properties of some global branches of solutions. Zbl 1094.47051
Stuart, C. A.; Vuillaume, G.
2004
Extensions of the Hardy-Littlewood inequalities for Schwarz symmetrization. Zbl 1086.26013
Hajaiej, H.; Stuart, C. A.
2004
Buckling of a critically tapered rod: Global bifurcation. Zbl 1065.47067
Stuart, C. A.; Vuillaume, G.
2003
Symmetrization inequalities for composition operators of Carathéodory type. Zbl 1052.26020
Hajaiej, H.; Stuart, C. A.
2003
On the spectral theory of a tapered rod. Zbl 1020.34076
Stuart, C. A.
2002
Nonlinear eigenvalue problems having an unbounded branch of symmetric bound states. Zbl 0958.34017
Jeanjean, H.; Stuart, C. A.
1999
The principle branch of solutions of a nonlinear elliptic eigenvalue problem on $$\mathbb{R}^ N$$. Zbl 0842.35029
Edelson, A. L.; Stuart, C. A.
1996
Homoclinic orbits for eventually autonomous planar flows. Zbl 0757.34038
Holmes, P. J.; Stuart, C. A.
1992
Gap-bifurcation for nonlinear perturbations of Hill’s equation. Zbl 0704.34012
Küpper, Tassilo; Stuart, Charles A.
1990
Bifurcation pour les problèmes de Dirichlet et de Neumann sans valeurs propres. Zbl 0397.34079
Stuart, Charles
1979
Spectral theory of rotating chains. Zbl 0342.34015
Stuart, C. A.
1975
The measure of non-compactness of some linear integral operators. Zbl 0314.47029
Stuart, C. A.
1973
Modelling axi-symmetric travelling waves in a dielectric with nonlinear refractive index. Zbl 1225.35231
Stuart, C. A.
2004
Fredholm properties of Schrödinger operators in $$L^P(\mathbb{R}^N)$$. Zbl 0989.47036
Rabier, P. J.; Stuart, C. A.
2000
Quasinormal cones in Banach spaces. Zbl 0514.47043
Dancer, E. Norman; Nussbaum, Roger D.; Stuart, Charles
1983
A uniqueness theorem for fixed points. Zbl 0438.47055
Smith, H. L.; Stuart, C. A.
1980
Integral equations with decreasing nonlinearities and applications. Zbl 0304.45004
Stuart, C. A.
1975
Bifurcation at isolated singular points for a degenerate elliptic eigenvalue problem. Zbl 1326.35027
Stuart, C. A.
2015
Asymptotic linearity and Hadamard differentiability. Zbl 1269.46027
Stuart, C. A.
2012
Positive eigenfunctions of a Schrödinger operator. Zbl 1095.35020
Stuart, C. A.; Zhou, Huan-Song
2005
Stability of standing waves for some nonlinear Schrödinger equations. Zbl 1037.34022
McLeod, J. B.; Stuart, C. A.; Troy, W. C.
2003
Spectrum of a self-adjoint operator and Palais-Smale conditions. Zbl 0961.47002
Stuart, C. A.
2000
Stuart, C. A.
1993
An exact reduction of Maxwell’s equations. Zbl 0797.34035
McLeod, J. B.; Stuart, C. A.; Troy, W. C.
1992
The fixed point index of a differentiable ($$\beta$$) k-set contraction. Zbl 0248.47030
Stuart, C. A.
1972
Bifurcation points of a singular boundary-value problem on $$(0,1)$$. Zbl 1335.34054
Stuart, Charles A.
2016
Bifurcation without Fréchet differentiability at the trivial solution. Zbl 1372.47071
Stuart, C. A.
2015
Asymptotic bifurcation and second order elliptic equations on $$\mathbb{R}^N$$. Zbl 1330.35187
Stuart, C. A.
2015
Exponential decay and Fredholm properties in second-order quasilinear elliptic systems. Zbl 1194.35181
Gebran, Hicham G.; Stuart, Charles A.
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.
2009
Stability analysis for a family of degenerate semilinear parabolic problems. Zbl 1394.35252
Stuart, Charles A.
2018
Criteria for the existence of a potential well. Zbl 1369.49031
Stuart, C. A.
2017
A potential well for an integral functional with singular Lagrangian. Zbl 1454.35088
Stuart, C. A.
2017
Bifurcation points of a singular boundary-value problem on $$(0,1)$$. Zbl 1335.34054
Stuart, Charles A.
2016
Bifurcation at isolated singular points for a degenerate elliptic eigenvalue problem. Zbl 1326.35027
Stuart, C. A.
2015
Bifurcation without Fréchet differentiability at the trivial solution. Zbl 1372.47071
Stuart, C. A.
2015
Asymptotic bifurcation and second order elliptic equations on $$\mathbb{R}^N$$. Zbl 1330.35187
Stuart, C. A.
2015
Bifurcation at isolated singular points of the Hadamard derivative. Zbl 1322.47060
Stuart, C. A.
2014
Asymptotic linearity and Hadamard differentiability. Zbl 1269.46027
Stuart, C. A.
2012
Locating Cerami sequences in a mountain pass geometry. Zbl 1232.58007
Stuart, C. A.
2011
Bifurcation and decay of solutions for a class of elliptic equations on $$\mathbb{R}^N$$. Zbl 1236.35010
Stuart, C. A.
2011
Two positive solutions of a quasilinear elliptic Dirichlet problem. Zbl 1245.35056
Stuart, C. A.
2011
Existence of guided cylindrical TM-modes in an inhomogeneous self-focusing dielectric. Zbl 1219.35151
Stuart, C. A.; Zhou, Huan-Song
2010
Exponential decay and Fredholm properties in second-order quasilinear elliptic systems. Zbl 1194.35181
Gebran, Hicham G.; Stuart, Charles A.
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.
2009
Schrödinger equations with a spatially decaying nonlinearity: existence and stability of standing waves. Zbl 1154.35082
Genoud, François; Stuart, Charles A.
2008
Lectures on the orbital stability of standing waves and application to the nonlinear Schrödinger equation. Zbl 1179.37101
Stuart, C. A.
2008
Bifurcation for some non-Fréchet differentiable problems. Zbl 1157.47045
Stuart, C. A.
2008
Hadamard differentiability and bifurcation. Zbl 1134.35014
Evéquoz, G.; Stuart, C. A.
2007
Existence and stability of TE modes in a stratified nonlinear dielectric. Zbl 1138.78316
Stuart, C. A.
2007
Global branch of solutions for non-linear Schrödinger equations with deepening potential well. Zbl 1225.35091
Stuart, C. A.; Zhou, Huansong
2006
On differentiability and bifurcation. Zbl 1107.47048
Evéquoz, Gilles; Stuart, Charles Alexander
2006
Bifurcation and concentration of radial solutions of a nonlinear degenerate elliptic eigenvalue problem. Zbl 1194.35193
Evéquoz, G.; Stuart, C. A.
2006
Bifurcation points of a degenerate elliptic boundary-value problem. Zbl 1113.35067
Evéquoz, Gilles; Stuart, C. A.
2006
Uniqueness and stability of ground states for some nonlinear Schrödinger equations. Zbl 1245.35120
Stuart, C. A.
2006
Axisymmetric TE-modes in a self-focusing dielectric. Zbl 1099.78013
Stuart, Charles A.; Zhou, Huan-Song
2005
Fredholm and properness properties of quasilinear elliptic systems of second order. Zbl 1210.35091
Gebran, Hicham G.; Stuart, Charles A.
2005
A Sobolev space approach to boundary value problems on the half-line. Zbl 1087.34006
Rabier, Patrick J.; Stuart, Charles A.
2005
Existence and non-existence of Schwarz symmetric ground states for elliptic eigenvalue problems. Zbl 1099.49002
Stuart, C. A.; Hajaiej, H.
2005
Boundary value problems for first order systems on the half-line. Zbl 1090.34014
Rabier, Patrick J.; Stuart, Charles A.
2005
Positive eigenfunctions of a Schrödinger operator. Zbl 1095.35020
Stuart, C. A.; Zhou, Huan-Song
2005
On the variational approach to the stability of standing waves for the nonlinear Schrödinger equation. Zbl 1068.35155
Hajaiej, H.; Stuart, C. A.
2004
Buckling of a critically tapered rod: properties of some global branches of solutions. Zbl 1094.47051
Stuart, C. A.; Vuillaume, G.
2004
Extensions of the Hardy-Littlewood inequalities for Schwarz symmetrization. Zbl 1086.26013
Hajaiej, H.; Stuart, C. A.
2004
Modelling axi-symmetric travelling waves in a dielectric with nonlinear refractive index. Zbl 1225.35231
Stuart, C. A.
2004
Global bifurcation of homoclinic solutions of Hamiltonian systems. Zbl 1042.37046
Secchi, S.; Stuart, C. A.
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.
2003
Buckling of a critically tapered rod: Global bifurcation. Zbl 1065.47067
Stuart, C. A.; Vuillaume, G.
2003
Symmetrization inequalities for composition operators of Carathéodory type. Zbl 1052.26020
Hajaiej, H.; Stuart, C. A.
2003
Stability of standing waves for some nonlinear Schrödinger equations. Zbl 1037.34022
McLeod, J. B.; Stuart, C. A.; Troy, W. C.
2003
Application of elliptic regularity to bifurcation in stationary nonlinear Schrödinger equations. Zbl 1034.35036
Rabier, Patrick J.; Stuart, Charles A.
2003
On the spectral theory of a tapered rod. Zbl 1020.34076
Stuart, C. A.
2002
Fredholm and properness properties of quasilinear elliptic operators on $$\mathbb{R}^N$$. Zbl 0991.35021
Rabier, Patrick J.; Stuart, Charles A.
2001
Buckling of a heavy tapered rod. Zbl 1056.74019
Stuart, Charles A.
2001
Global bifurcation for quasilinear elliptic equations on $${\mathbb R}^N$$. Zbl 1018.35033
Rabier, P. J.; Stuart, C. A.
2001
Existence of guided cylindrical TM-modes in a homogeneous self-focusing dielectric. Zbl 0992.78006
Stuart, Charles A.; Zhou, Huan-Song
2001
Exponential decay of the solutions of quasilinear second-order equations and Pohozaev identities. Zbl 0965.35046
Rabier, Patrick J.; Stuart, Charles A.
2000
Fredholm properties of Schrödinger operators in $$L^P(\mathbb{R}^N)$$. Zbl 0989.47036
Rabier, P. J.; Stuart, C. A.
2000
Spectrum of a self-adjoint operator and Palais-Smale conditions. Zbl 0961.47002
Stuart, C. A.
2000
Buckling of a tapered elastica. Zbl 0994.74027
Stuart, Charles A.
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.
1999
Branches of solutions to semilinear elliptic equations on $$\mathbb{R}^N$$. Zbl 0955.35058
Jeanjean, H.; Lucia, M.; Stuart, C. A.
1999
Nonlinear eigenvalue problems having an unbounded branch of symmetric bound states. Zbl 0958.34017
Jeanjean, H.; Stuart, C. A.
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.
1999
An introduction to elliptic equations on $$\mathbb{R}^N$$. Zbl 0956.35028
Stuart, C. A.
1998
Magnetic field wave equations for TM-modes in nonlinear optical waveguides. Zbl 0894.35111
Stuart, C. A.
1998
Bifurcation from the essential spectrum. Zbl 0888.47045
Stuart, C. A.
1997
A variational problem related to self-trapping of an electromagnetic field. Zbl 0862.35123
Stuart, C. A.; Zhou, H. S.
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.
1996
Cylindrical TM-modes in a homogeneous self-focusing dielectric. Zbl 0934.35190
Stuart, C. A.
1996
Bifurcation into spectral gaps. Zbl 0864.47037
Stuart, Charles A.
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.
1994
Guidance properties of a cylindrical defocusing waveguide. Zbl 0819.35137
John, Oldřich; Stuart, Charles A.
1994
Existence of a nontrivial solution to a strongly indefinite semilinear equation. Zbl 0789.35052
Buffoni, B.; Jeanjean, L.; Stuart, C. A.
1993
Guidance properties of nonlinear planar waveguides. Zbl 0801.35136
Stuart, C. A.
1993
Stuart, C. A.
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.
1992
Solvability of nonlinear equations in spectral gaps of the linearization. Zbl 0777.47033
Heinz, H.-P.; Stuart, C. A.
1992
Necessary and sufficient conditions for gap-bifurcation. Zbl 0797.47037
Küpper, T.; Stuart, C. A.
1992
Homoclinic orbits for eventually autonomous planar flows. Zbl 0757.34038
Holmes, P. J.; Stuart, C. A.
1992
An exact reduction of Maxwell’s equations. Zbl 0797.34035
McLeod, J. B.; Stuart, C. A.; Troy, W. C.
1992
Bifurcation at boundary points of the continuous spectrum. Zbl 0765.34027
Küpper, Tassilo; Stuart, Charles A.
1992
Self-trapping of an electromagnetic field and bifurcation from the essential spectrum. Zbl 0745.35044
Stuart, C. A.
1991
Bifurcation into gaps in the essential spectrum. Zbl 0697.47063
Küpper, Tassilo; Stuart, Charles A.
1990
Gap-bifurcation for nonlinear perturbations of Hill’s equation. Zbl 0704.34012
Küpper, Tassilo; Stuart, Charles A.
1990
Bifurcation from the essential spectrum for some non-compact nonlinearities. Zbl 0678.58013
Stuart, C. A.
1989
Bifurcation of homoclinic orbits and bifurcation from the essential spectrum. Zbl 0704.34025
Stuart, C. A.
1989
Bifurcation in $$L^ p({\mathbb{R}}^ N)$$ for a semilinear elliptic equation. Zbl 0673.35005
Stuart, C. A.
1988
Partial differential equations for engineers. Theory and numerical methods. Vol. 1 and 2. Zbl 0697.35002
Cuvelier, C.; Descloux, J.; Rappaz, J.; Stuart, C; Zwahlen, B.
1988
The behaviour of branches of solutions of nonlinear eigenvalue problems. Zbl 0667.34027
Stuart, C. A.
1987
Bifurcation in $$L^ p({\mathbb{R}})$$ for a semilinear equation. Zbl 0635.34026
Stuart, C. A.
1986
Radially symmetric cavitation for hyperelastic materials. Zbl 0588.73021
Stuart, C. A.
1985
A global branch of solutions to a semilinear equation on an unbounded interval. Zbl 0582.34010
Stuart, C. A.
1985
Quasiconvexity and uniqueness of equilibrium solutions in nonlinear elasticity. Zbl 0589.73017
Knops, R. J.; Stuart, C. A.
1984
Bifurcation from the essential spectrum. Zbl 0527.35010
Stuart, C. A.
1983
A variational approach to bifurcation in $$L^ p$$on an unbounded symmetrical domain. Zbl 0513.35068
Stuart, C. A.
1983
Quasinormal cones in Banach spaces. Zbl 0514.47043
Dancer, E. Norman; Nussbaum, Roger D.; Stuart, Charles
1983
Bifurcation for Dirichlet problems without eigenvalues. Zbl 0505.35010
Stuart, C. A.
1982
A variational method for boundary value problems with discontinuous nonlinearities. Zbl 0434.35042
Stuart, C. A.; Toland, J. F.
1980
Bifurcation for variational problems when the linearisation has no eigenvalues. Zbl 0458.47048
Stuart, C. A.
1980
Bifurcation for Neumann problems without eigenvalues. Zbl 0468.34009
Stuart, C. A.
1980
A property of solutions of elliptic differential equations with discontinuous nonlinearities. Zbl 0434.35043
Stuart, C. A.; Toland, J. F.
1980
A uniqueness theorem for fixed points. Zbl 0438.47055
Smith, H. L.; Stuart, C. A.
1980
Positive eigenvectors of k-set contractions. Zbl 0422.47030
Massabó, Ivar; Stuart, Charles A.
1979
An introduction to bifurcation theory based on differential calculus. Zbl 0446.58005
Stuart, C. A.
1979
Bifurcation pour les problèmes de Dirichlet et de Neumann sans valeurs propres. Zbl 0397.34079
Stuart, Charles
1979
A variational method for bifurcation problems when the linearization has no eigenvalues. Zbl 0432.47037
Stuart, C. A.
1979
Maximal and minimal solutions of elliptic differential equations with discontinuous non-linearities. Zbl 0403.35036
Stuart, Charles A.
1978
Elliptic eigenvalue problems with discontinuous nonlinearities. Zbl 0408.35070
Massabó, Ivar; Stuart, Charles A.
1978
Bifurcation when the linearized problem has no eigenvalues. Zbl 0419.34010
Chiappinelli, R.; Stuart, C. A.
1978
...and 25 more Documents
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#### 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
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#### Cited in 181 Serials

 89 Journal of Differential Equations 89 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 83 Journal of Mathematical Analysis and Applications 48 Nonlinear Analysis. Theory, Methods & Applications 36 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 29 Archive for Rational Mechanics and Analysis 22 Journal of Functional Analysis 17 Calculus of Variations and Partial Differential Equations 16 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 15 Proceedings of the American Mathematical Society 14 Communications in Contemporary Mathematics 13 Journal of Mathematical Physics 13 NoDEA. Nonlinear Differential Equations and Applications 13 Advanced Nonlinear Studies 12 Applicable Analysis 12 ZAMP. Zeitschrift für angewandte Mathematik und Physik 12 Transactions of the American Mathematical Society 11 Discrete and Continuous Dynamical Systems 11 Boundary Value Problems 10 Mathematical Methods in the Applied Sciences 9 Communications in Partial Differential Equations 9 Journal of Elasticity 8 Applied Mathematics Letters 7 Annali di Matematica Pura ed Applicata. Serie Quarta 7 Manuscripta Mathematica 7 Mathematische Annalen 7 Mathematische Nachrichten 7 Abstract and Applied Analysis 7 Nonlinear Analysis. Real World Applications 7 Journal of Fixed Point Theory and Applications 6 Proceedings of the Edinburgh Mathematical Society. Series II 6 Complex Variables and Elliptic Equations 5 Communications in Mathematical Physics 5 Applied Mathematics and Computation 5 Journal of Integral Equations and Applications 5 Communications on Pure and Applied Analysis 5 Science China. Mathematics 4 Acta Mechanica 4 Journal d’Analyse Mathématique 4 Rocky Mountain Journal of Mathematics 4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 4 Applied Mathematics and Optimization 4 Rendiconti del Circolo Matemàtico di Palermo. Serie II 4 Physica D 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 SIAM Journal on Mathematical Analysis 4 Journal of Nonlinear Science 4 Mathematics and Mechanics of Solids 4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 4 Advances in Difference Equations 3 Bulletin of the Australian Mathematical Society 3 Computers & Mathematics with Applications 3 Journal of Engineering Mathematics 3 Nonlinearity 3 Journal of Computational and Applied Mathematics 3 Mathematische Zeitschrift 3 Numerical Functional Analysis and Optimization 3 Quarterly of Applied Mathematics 3 Rendiconti del Seminario Matematico della Università di Padova 3 Zeitschrift für Analysis und ihre Anwendungen 3 Acta Mathematicae Applicatae Sinica. English Series 3 European Journal of Applied Mathematics 3 Journal of Dynamics and Differential Equations 3 Differential Equations and Dynamical Systems 3 Acta Mathematica Sinica. English Series 3 Journal of Evolution Equations 3 Milan Journal of Mathematics 3 Bulletin of the American Mathematical Society 3 Advances in Nonlinear Analysis 2 International Journal of Engineering Science 2 Journal of the Mechanics and Physics of Solids 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Mathematics of Computation 2 Advances in Mathematics 2 Archiv der Mathematik 2 Czechoslovak Mathematical Journal 2 Glasgow Mathematical Journal 2 Studies in Applied Mathematics 2 Bulletin of the Korean Mathematical Society 2 Applied Mathematics and Mechanics. (English Edition) 2 Asymptotic Analysis 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Linear Algebra and its Applications 2 Bulletin of the American Mathematical Society. New Series 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Continuum Mechanics and Thermodynamics 2 Potential Analysis 2 Topological Methods in Nonlinear Analysis 2 Applied Mathematics. Series B (English Edition) 2 Electronic Journal of Differential Equations (EJDE) 2 Bulletin des Sciences Mathématiques 2 Sbornik: Mathematics 2 Izvestiya: Mathematics 2 Journal of Applied Analysis 2 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Journal of Applied Mathematics 2 Bulletin of the Brazilian Mathematical Society. New Series 2 Central European Journal of Mathematics 2 Discrete and Continuous Dynamical Systems. Series S 1 Computer Methods in Applied Mechanics and Engineering ...and 81 more Serials
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#### Cited in 42 Fields

 646 Partial differential equations (35-XX) 216 Operator theory (47-XX) 132 Ordinary differential equations (34-XX) 107 Global analysis, analysis on manifolds (58-XX) 77 Mechanics of deformable solids (74-XX) 74 Calculus of variations and optimal control; optimization (49-XX) 53 Dynamical systems and ergodic theory (37-XX) 42 Integral equations (45-XX) 34 Optics, electromagnetic theory (78-XX) 32 Functional analysis (46-XX) 26 Quantum theory (81-XX) 20 Numerical analysis (65-XX) 20 Fluid mechanics (76-XX) 15 Real functions (26-XX) 14 Statistical mechanics, structure of matter (82-XX) 13 Difference and functional equations (39-XX) 11 Mechanics of particles and systems (70-XX) 8 Biology and other natural sciences (92-XX) 6 Differential geometry (53-XX) 5 Potential theory (31-XX) 4 Functions of a complex variable (30-XX) 4 Algebraic topology (55-XX) 4 Probability theory and stochastic processes (60-XX) 4 Astronomy and astrophysics (85-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Geophysics (86-XX) 3 Operations research, mathematical programming (90-XX) 2 History and biography (01-XX) 2 Measure and integration (28-XX) 2 Approximations and expansions (41-XX) 2 General topology (54-XX) 2 Manifolds and cell complexes (57-XX) 2 Systems theory; control (93-XX) 1 $$K$$-theory (19-XX) 1 Topological groups, Lie groups (22-XX) 1 Special functions (33-XX) 1 Abstract harmonic analysis (43-XX) 1 Convex and discrete geometry (52-XX) 1 Computer science (68-XX) 1 Relativity and gravitational theory (83-XX)