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McKenna, Patrick Joseph

Author ID: mckenna.patrick-joseph Recent zbMATH articles by "McKenna, Patrick Joseph"
Published as: McKenna, P. J.; McKenna, Patrick J.; McKenna, P. Joseph; Mckenna, P. Joseph; Mckenna, P. J.
all top 5

Serials

10 Nonlinear Analysis. Theory, Methods & Applications
9 Journal of Mathematical Analysis and Applications
9 Journal of Differential Equations
6 Proceedings of the American Mathematical Society
4 Transactions of the American Mathematical Society
3 American Mathematical Monthly
3 Applicable Analysis
3 IMA Journal of Applied Mathematics
3 Journal of Computational and Applied Mathematics
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Differential and Integral Equations
2 Numerische Mathematik
2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
2 Atti della Accademia Nazionale dei Lincei. Serie Ottava. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali
2 Communications in Partial Differential Equations
2 Linear Algebra and its Applications
2 SIAM Journal on Mathematical Analysis
2 Electronic Journal of Differential Equations (EJDE)
2 Communications on Pure and Applied Analysis
1 Archive for Rational Mechanics and Analysis
1 Houston Journal of Mathematics
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Journal of Computational Physics
1 Mathematical Methods in the Applied Sciences
1 Nonlinearity
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Applied Mathematics and Computation
1 Journal of Functional Analysis
1 Journal für die Reine und Angewandte Mathematik
1 Michigan Mathematical Journal
1 Bulletin of the Institute of Mathematics. Academia Sinica
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 SIAM Journal on Applied Mathematics
1 SIAM Review
1 Journal of Nonlinear Science
1 Advances in Differential Equations
1 Nonlinear Dynamics
1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Nonlinear Analysis. Real World Applications
1 Milan Journal of Mathematics
1 Boundary Value Problems
1 Bollettino della Unione Matematica Italiana. Series V. A
1 Lecture Notes Series, Seoul
1 Discrete and Continuous Dynamical Systems. Series S

Publications by Year

Citations contained in zbMATH Open

105 Publications have been cited 2,880 times in 1,771 Documents Cited by Year
On a singular nonlinear elliptic boundary-value problem. Zbl 0727.35057
Lazer, A. C.; McKenna, P. J.
391
1991
Large-amplitude periodic oscillations in suspension bridges: Some new connections with nonlinear analysis. Zbl 0725.73057
Lazer, A. C.; McKenna, P. J.
390
1990
Nonlinear oscillations in a suspension bridge. Zbl 0676.35003
McKenna, P. J.; Walter, W.
141
1987
Asymptotic behavior of solutions of boundary blow-up problems. Zbl 0811.35010
Lazer, A. C.; McKenna, P. J.
117
1994
Travelling waves in a suspension bridge. Zbl 0699.73038
McKenna, P. J.; Walter, W.
111
1990
On a problem of Bieberbach and Rademacher. Zbl 0833.35052
Lazer, A. C.; McKenna, P. J.
98
1993
A mountain pass method for the numerical solution of semilinear elliptic problems. Zbl 0779.35032
Choi, Y. S.; McKenna, P. J.
95
1993
Traveling waves in a nonlinearly suspended beam: Theoretical results and numerical observations. Zbl 0879.35113
Chen, Y.; McKenna, P. J.
84
1997
On singular boundary value problems for the Monge-Ampère operator. Zbl 0856.35042
Lazer, A. C.; McKenna, P. J.
82
1996
On the number of solutions of a nonlinear Dirichlet problem. Zbl 0496.35039
Lazer, A. C.; McKenna, P. J.
72
1981
Global bifurcation and a theorem of Tarantello. Zbl 0797.34021
Lazer, A. C.; McKenna, P. J.
68
1994
Large scale oscillatory behaviour in loaded asymmetric systems. Zbl 0633.34037
Lazer, A. C.; McKenna, P. J.
63
1987
On a conjecture related to the number of solutions of a nonlinear Dirichlet problem. Zbl 0533.35037
Lazer, A. C.; McKenna, P. J.
59
1983
Multiple solutions for a semilinear boundary value problem: a computational multiplicity proof. Zbl 1156.35359
Breuer, B.; McKenna, P. J.; Plum, M.
55
2003
Existence and stability of large scale nonlinear oscillations in suspension bridges. Zbl 0677.73046
Glover, J.; Lazer, A. C.; McKenna, P. J.
52
1989
Radial solutions of singular nonlinear biharmonic equations and applications to conformal geometry. Zbl 1109.35321
McKenna, P. J.; Reichel, Wolfgang
38
2003
On steady state solutions of a system of reaction-diffusion equations from biology. Zbl 0488.35039
Lazer, A. C.; McKenna, P. J.
35
1982
On the Dirichlet problem for elliptic systems. Zbl 0593.35042
McKenna, Patrick J.; Walter, Wolfgang
34
1986
Multiplicity results for a class of semilinear elliptic and parabolic boundary value problems. Zbl 0584.35053
Lazer, A. C.; McKenna, P. J.
34
1985
Existence, uniqueness, and stability of oscillations in differential equations with asymmetric nonlinearities. Zbl 0725.34042
Lazer, A. C.; McKenna, P. J.
34
1989
Symmetry and multiplicity for nonlinear elliptic differential equations with boundary blow-up. Zbl 0868.35031
McKenna, P. J.; Reichel, W.; Walter, W.
32
1997
A symmetry theorem and applications to nonlinear partial differential equations. Zbl 0666.47038
Lazer, A. C.; McKenna, P. J.
32
1988
Large torsional oscillations in suspension bridges revisited: fixing an old approximation. Zbl 1076.70509
McKenna, P. J.
28
1999
Strongly nonlinear perturbations of nonnegative boundary value problems with kernel. Zbl 0405.34019
McKenna, P. J.; Rauch, J.
27
1978
Critical point theory and boundary value problems with nonlinearities crossing multiple eigenvalues. II. Zbl 0654.35082
Lazer, A. C.; McKenna, P. J.
25
1986
A semi-Fredholm principle for periodically forced systems with homogeneous nonlinearities. Zbl 0683.34027
Lazer, A. C.; Mckenna, P. J.
25
1989
Critical point theory and boundary value problems with nonlinearities crossing multiple eigenvalues. Zbl 0572.35036
Lazer, A. C.; McKenna, P. J.
24
1985
The structure of the solution set for periodic oscillations in a suspension bridge model. Zbl 0756.73041
Choi, Y. S.; Jen, K. C.; McKenna, P. J.
23
1991
On the multiplicity of the solution set of some nonlinear boundary value problems. Zbl 0556.35024
McKenna, P. J.; Walter, Wolfgang
22
1984
On the existence of stable periodic solutions of differential equations of Duffing type. Zbl 0714.34067
Lazer, A. C.; McKenna, P. J.
22
1990
A computer-assisted existence and multiplicity proof for travelling waves in a nonlinearly supported beam. Zbl 1104.34034
Breuer, B.; Horák, J.; McKenna, P. J.; Plum, M.
22
2006
Multiple solitary waves due to second-harmonic generation in quadratic media. Zbl 0923.35169
Yew, A. C.; Champneys, A. R.; McKenna, P. J.
20
1999
On solutions of a nonlinear wave question when the ratio of the period to the length of the interval is irrational. Zbl 0576.35081
McKenna, P. J.
20
1985
Large torsional oscillations in suspension bridges visited again: vertical forcing creates torsional response. Zbl 1129.74316
McKenna, P. J.; Ó Tuama, Cillian
20
2001
A mountain pass method for the numerical solution of semilinear wave equations. Zbl 0796.65109
Choi, Y. S.; McKenna, P. J.; Romano, M.
19
1993
Some remarks on a singular elliptic boundary value problem. Zbl 0940.35089
Choi, Y. S.; Lazer, A. C.; McKenna, P. J.
18
1998
A singular Gierer-Meinhardt system of elliptic equations. Zbl 0969.35062
Choi, Y. S.; McKenna, P. J.
18
2000
Multiple solutions of two point boundary value problems with jumping nonlinearities. Zbl 0576.34017
Hart, D. C.; Lazer, A. C.; McKenna, P. J.
18
1985
Finite difference approximations to the Dirichlet problem for elliptic systems. Zbl 0602.65068
Huy, C. U.; McKenna, P. J.; Walter, W.
18
1986
A priori bounds for semilinear equations and a new class of critical exponents for Lipschitz domains. Zbl 1231.35029
McKenna, P. J.; Reichel, W.
18
2007
Solitary waves in nonlinear beam equations: Stability, fission and fusion. Zbl 0974.74034
Champneys, A. R.; McKenna, P. J.; Zegeling, P. A.
17
2000
The study of a nonlinear suspension bridge equation by a variational reduction method. Zbl 0739.35044
Choi, Q-Heung; Jung, Tacksun; McKenna, Patrick J.
17
1992
A Singular Quasilinear Anisotropic Elliptic Boundary Value Problem. II. Zbl 0901.35031
Choi, Y. S.; McKenna, P. J.
16
1998
On a singular quasilinear anisotropic elliptic boundary value problem. Zbl 0835.35049
Choi, Y. S.; Lazer, A. C.; McKenna, P. J.
16
1995
A singular Gierer-Meinhardt system of elliptic equations: the classical case. Zbl 1140.35408
Choi, Y. S.; McKenna, P. J.
15
2003
The existence of ground states for fourth-order wave equations. Zbl 1192.35113
Karageorgis, Paschalis; McKenna, P. J.
15
2010
Multiplicity results for a semilinear boundary value problem with the nonlinearity crossing higher eigenvalues. Zbl 0582.35049
Lazer, A. C.; McKenna, P. J.
13
1985
A uniqueness result for a semilinear elliptic problem: a computer-assisted proof. Zbl 1179.35149
McKenna, P. J.; Pacella, F.; Plum, M.; Roth, D.
13
2009
Periodic bouncing for a forced linear spring with obstacle. Zbl 0757.34033
Lazer, A. C.; McKenna, P. J.
11
1992
Multiple periodic solutions for a nonlinear suspension bridge equation. Zbl 0951.35010
Humphreys, L. D.; McKenna, P. J.
11
1999
Discrete Carleson measures and some interpolation problems. Zbl 0391.30023
McKenna, P. J.
11
1977
Multiplicity of solutions of nonlinear boundary value problems. Zbl 0615.34011
Hart, D. C.; Lazer, A. C.; McKenna, P. J.
11
1986
Nonlinear torsional flexings in a periodically forced suspended beam. Zbl 0811.73034
Jacover, Daniela; McKenna, P. J.
10
1994
Oscillations in suspension bridges, vertical and torsional. Zbl 1284.35292
McKenna, P. J.
10
2014
Multiplicity of solutions of nonlinear boundary value problems with nonlinearities crossing several higher eigenvalues. Zbl 0588.35036
Lazer, A. C.; McKenna, P. J.
9
1986
A computer-assisted uniqueness proof for a semilinear elliptic boundary value problem. Zbl 1253.35046
McKenna, Patrick J.; Pacella, Filomena; Plum, Michael; Roth, Dagmar
9
2012
Large-amplitude periodic oscillations in simple and complex mechanical system: outgrowths from nonlinear analysis. Zbl 1117.35025
McKenna, P. Joseph
9
2006
Travelling waves in a nonlinearly suspended beam: Some computational results and four open questions. Zbl 0895.35100
Chen, Y.; McKenna, P. J.
8
1997
A generalization of the Perron-Frobenius theorem for nonlinear perturbations of Stieltjes matrices. Zbl 0993.15010
Choi, Y. S.; Koltracht, I.; McKenna, P. J.
8
2001
A conjecture on multiple solutions of a nonlinear elliptic boundary value problem: some numerical evidence. Zbl 1229.35015
Hollman, Lisa; McKenna, P. J.
8
2011
On the reduction of a semilinear hyperbolic problem to a Landesman-Lazer problem. Zbl 0411.35059
McKenna, P. J.
7
1978
Sign-changing solutions to singular second-order boundary value problems. Zbl 1142.35428
McKenna, P. J.; Reichel, W.
7
2001
Solving semilinear partial differential equations with probabilistic potential theory. Zbl 0577.60073
Glover, Joseph; McKenna, P. J.
7
1985
Non-linear flexings in a periodically forced floating beam. Zbl 0723.35079
Lazer, A. C.; McKenna, P. J.
7
1991
On travelling waves in a suspension bridge model as the wave speed goes to zero. Zbl 1228.34065
Lazer, A. C.; McKenna, P. J.
7
2011
An existence theorem by alternative methods for semilinear abstract equations at resonance. Zbl 0352.47030
Kannan, R.; McKenna, P. J.
6
1977
Very weak solutions with boundary singularities for semilinear elliptic Dirichlet problems in domains with conical corners. Zbl 1168.35013
Horák, J.; McKenna, P. J.; Reichel, W.
6
2009
On a superlinear elliptic boundary value problem at resonance. Zbl 0499.35048
McKenna, P. J.
6
1979
Global monotone convergence of Newton iteration for a nonlinear eigen-problem. Zbl 1017.65050
Choi, Y. S.; Koltracht, I.; McKenna, P. J.; Savytska, N.
6
2002
On solitary waves of a piecewise linear suspended beam model. Zbl 0903.73031
Champneys, A. R.; McKenna, P. J.
5
1997
A fast algorithm for the solution of the time-independent Gross–Pitaevskii equation. Zbl 1027.65157
Choi, Yung-Sze; Javanainen, Juha; Koltracht, Israel; Koštrun, Marijan; McKenna, Patrick J.; Savytska, Nataliya
5
2003
The global structure of periodic solutions to a suspension bridge mechanical model. Zbl 1026.74037
McKenna, P. J.; Moore, K. S.
4
2002
Traveling waves in nonlinearly supported beams and plates. Zbl 1108.35385
Horák, J.; McKenna, P. J.
4
2003
Gidas-Ni-Nirenberg results for finite difference equations: estimates of approximate symmetry. Zbl 1160.39002
McKenna, P. J.; Reichel, W.
4
2007
On eigen-structure of a nonlinear map in \(R^n\). Zbl 1064.47061
Choi, Y. S.; Koltracht, I.; McKenna, P. J.
3
2005
Inclusions and existence proofs for solutions of a nonlinear boundary value problem by spectral numerical methods. Zbl 0994.65129
Breuer, B.; Plum, M.; McKenna, P. J.
3
2001
On the structure of the set of solutions to some nonlinear boundary-value problems. Zbl 0397.35010
Shaw, Howard; McKenna, P. J.
3
1980
On the multiplicity of the solution set of some nonlinear boundary value problems. II. Zbl 0615.35033
McKenna, P. J.; Walter, Wolfgang
3
1986
A singular elliptic boundary value problem. Zbl 0817.35027
Lazer, A. C.; McKenna, P. J.
3
1994
Fredholm theory for periodic solutions of some semilinear p.d.e.s with homogeneous nonlinearities. Zbl 0712.35065
Lazer, A. C.; McKenna, P. J.
3
1990
When a mechanical model goes nonlinear: unexpected responses to low-periodic shaking. Zbl 1149.70324
Humphreys, Lisa D.; McKenna, P. Joseph
3
2005
Recent multiplicity results for nonlinear boundary value problems. Zbl 0559.35029
Lazer, A. C.; McKenna, P. J.
3
1984
Uniqueness of solutions for semilinear equations at resonance. Zbl 0383.35026
McKenna, P. J.
2
1978
Open problems in nonlinear ordinary boundary value problems arising from the study of large-amplitude periodic oscillations in suspension bridges. Zbl 0847.34024
Lazer, A. C.; McKenna, P. J.
2
1996
Mathematics arising from suspension bridge dynamics: Recent developments. Zbl 0951.34025
McKenna, P. J.; Moore, K. S.
2
1999
Alternative problems and Grothendieck approximation properties. Zbl 0411.46010
Cesari, L.; McKenna, P. J.
2
1978
On limitations to the solution set of some nonlinear problems. Zbl 0551.35040
Lazer, Alan C.; McKenna, P. J.
2
1982
Non-selfadjoint semilinear equations at simple resonance in the alternative method. Zbl 0538.34009
McKenna, P. J.
2
1977
Multiplicity results for asymptotically homogeneous semilinear boundary value problems. Zbl 0607.35038
McKenna, P. J.; Redlinger, Reinhard; Walter, Wolfgang
2
1986
Nonlinear periodic flexing in a floating beam. Zbl 0810.73024
Lazer, Alan C.; McKenna, P. J.
2
1994
Discontinuous perturbations of elliptic boundary value problems at resonance. Zbl 0449.35101
McKenna, P. J.
2
1978
Some perturbation results and their applications to stabilization of hyperbolic systems. Zbl 0559.35004
McKenna, P. J.; Lasiecka, I.
2
1984
Orbital stability investigations for travelling waves in a nonlinearly supported beam. Zbl 1472.35039
Nagatou, K.; Plum, M.; McKenna, P. J.
2
2019
An abstract theorem in nonlinear analysis. Zbl 1319.35042
Lazer, A. C.; McKenna, P. J.
1
2014
On the lift-off constant for elastically supported plates. Zbl 1127.35008
Bass, R. F.; Horák, J.; McKenna, P. J.
1
2004
Numerical mountain pass methods for nonlinear boundary value problems. Zbl 0882.65099
Choi, Y. S.; McKenna, P. J.
1
1996
Travelling waves in a nonlinearly suspended beam: some computational results and four open questions. (Reprint). Zbl 1166.74380
Chen, Y.; McKenna, P. J.
1
1999
Multiple periodic solutions to a suspension bridge O. D. E. Zbl 0965.34029
McKenna, P. J.; Moore, K. S.
1
2000
On multiple solutions of a nonlinear Dirichlet problem. Zbl 0603.35033
Lazer, A. C.; McKenna, P. J.
1
1980
Lower bounds for the first eigenvalue of the Laplacian, with Dirichlet boundary conditions and a theorem of Hayman. Zbl 0579.35064
McKenna, P. J.; Rao, Murali
1
1984
Orbital stability investigations for travelling waves in a nonlinearly supported beam. Zbl 1472.35039
Nagatou, K.; Plum, M.; McKenna, P. J.
2
2019
Oscillations in suspension bridges, vertical and torsional. Zbl 1284.35292
McKenna, P. J.
10
2014
An abstract theorem in nonlinear analysis. Zbl 1319.35042
Lazer, A. C.; McKenna, P. J.
1
2014
A computer-assisted uniqueness proof for a semilinear elliptic boundary value problem. Zbl 1253.35046
McKenna, Patrick J.; Pacella, Filomena; Plum, Michael; Roth, Dagmar
9
2012
A conjecture on multiple solutions of a nonlinear elliptic boundary value problem: some numerical evidence. Zbl 1229.35015
Hollman, Lisa; McKenna, P. J.
8
2011
On travelling waves in a suspension bridge model as the wave speed goes to zero. Zbl 1228.34065
Lazer, A. C.; McKenna, P. J.
7
2011
The existence of ground states for fourth-order wave equations. Zbl 1192.35113
Karageorgis, Paschalis; McKenna, P. J.
15
2010
High frequency shaking induced by low frequency forcing: periodic oscillations in a spring-cable system. Zbl 1209.34055
Humphreys, L. D.; McKenna, P. J.; O’Neill, K. M.
1
2010
A uniqueness result for a semilinear elliptic problem: a computer-assisted proof. Zbl 1179.35149
McKenna, P. J.; Pacella, F.; Plum, M.; Roth, D.
13
2009
Very weak solutions with boundary singularities for semilinear elliptic Dirichlet problems in domains with conical corners. Zbl 1168.35013
Horák, J.; McKenna, P. J.; Reichel, W.
6
2009
A priori bounds for semilinear equations and a new class of critical exponents for Lipschitz domains. Zbl 1231.35029
McKenna, P. J.; Reichel, W.
18
2007
Gidas-Ni-Nirenberg results for finite difference equations: estimates of approximate symmetry. Zbl 1160.39002
McKenna, P. J.; Reichel, W.
4
2007
A computer-assisted existence and multiplicity proof for travelling waves in a nonlinearly supported beam. Zbl 1104.34034
Breuer, B.; Horák, J.; McKenna, P. J.; Plum, M.
22
2006
Large-amplitude periodic oscillations in simple and complex mechanical system: outgrowths from nonlinear analysis. Zbl 1117.35025
McKenna, P. Joseph
9
2006
On eigen-structure of a nonlinear map in \(R^n\). Zbl 1064.47061
Choi, Y. S.; Koltracht, I.; McKenna, P. J.
3
2005
When a mechanical model goes nonlinear: unexpected responses to low-periodic shaking. Zbl 1149.70324
Humphreys, Lisa D.; McKenna, P. Joseph
3
2005
Multiplicity results for a class of asymmetric weakly coupled systems of second-order ordinary differential equations. Zbl 1155.34308
Dalbono, Francesca; McKenna, P. J.
1
2005
On the lift-off constant for elastically supported plates. Zbl 1127.35008
Bass, R. F.; Horák, J.; McKenna, P. J.
1
2004
Multiple solutions for a semilinear boundary value problem: a computational multiplicity proof. Zbl 1156.35359
Breuer, B.; McKenna, P. J.; Plum, M.
55
2003
Radial solutions of singular nonlinear biharmonic equations and applications to conformal geometry. Zbl 1109.35321
McKenna, P. J.; Reichel, Wolfgang
38
2003
A singular Gierer-Meinhardt system of elliptic equations: the classical case. Zbl 1140.35408
Choi, Y. S.; McKenna, P. J.
15
2003
A fast algorithm for the solution of the time-independent Gross–Pitaevskii equation. Zbl 1027.65157
Choi, Yung-Sze; Javanainen, Juha; Koltracht, Israel; Koštrun, Marijan; McKenna, Patrick J.; Savytska, Nataliya
5
2003
Traveling waves in nonlinearly supported beams and plates. Zbl 1108.35385
Horák, J.; McKenna, P. J.
4
2003
Global monotone convergence of Newton iteration for a nonlinear eigen-problem. Zbl 1017.65050
Choi, Y. S.; Koltracht, I.; McKenna, P. J.; Savytska, N.
6
2002
The global structure of periodic solutions to a suspension bridge mechanical model. Zbl 1026.74037
McKenna, P. J.; Moore, K. S.
4
2002
Large torsional oscillations in suspension bridges visited again: vertical forcing creates torsional response. Zbl 1129.74316
McKenna, P. J.; Ó Tuama, Cillian
20
2001
A generalization of the Perron-Frobenius theorem for nonlinear perturbations of Stieltjes matrices. Zbl 0993.15010
Choi, Y. S.; Koltracht, I.; McKenna, P. J.
8
2001
Sign-changing solutions to singular second-order boundary value problems. Zbl 1142.35428
McKenna, P. J.; Reichel, W.
7
2001
Inclusions and existence proofs for solutions of a nonlinear boundary value problem by spectral numerical methods. Zbl 0994.65129
Breuer, B.; Plum, M.; McKenna, P. J.
3
2001
A singular Gierer-Meinhardt system of elliptic equations. Zbl 0969.35062
Choi, Y. S.; McKenna, P. J.
18
2000
Solitary waves in nonlinear beam equations: Stability, fission and fusion. Zbl 0974.74034
Champneys, A. R.; McKenna, P. J.; Zegeling, P. A.
17
2000
Multiple periodic solutions to a suspension bridge O. D. E. Zbl 0965.34029
McKenna, P. J.; Moore, K. S.
1
2000
Large torsional oscillations in suspension bridges revisited: fixing an old approximation. Zbl 1076.70509
McKenna, P. J.
28
1999
Multiple solitary waves due to second-harmonic generation in quadratic media. Zbl 0923.35169
Yew, A. C.; Champneys, A. R.; McKenna, P. J.
20
1999
Multiple periodic solutions for a nonlinear suspension bridge equation. Zbl 0951.35010
Humphreys, L. D.; McKenna, P. J.
11
1999
Mathematics arising from suspension bridge dynamics: Recent developments. Zbl 0951.34025
McKenna, P. J.; Moore, K. S.
2
1999
Travelling waves in a nonlinearly suspended beam: some computational results and four open questions. (Reprint). Zbl 1166.74380
Chen, Y.; McKenna, P. J.
1
1999
Some remarks on a singular elliptic boundary value problem. Zbl 0940.35089
Choi, Y. S.; Lazer, A. C.; McKenna, P. J.
18
1998
A Singular Quasilinear Anisotropic Elliptic Boundary Value Problem. II. Zbl 0901.35031
Choi, Y. S.; McKenna, P. J.
16
1998
Traveling waves in a nonlinearly suspended beam: Theoretical results and numerical observations. Zbl 0879.35113
Chen, Y.; McKenna, P. J.
84
1997
Symmetry and multiplicity for nonlinear elliptic differential equations with boundary blow-up. Zbl 0868.35031
McKenna, P. J.; Reichel, W.; Walter, W.
32
1997
Travelling waves in a nonlinearly suspended beam: Some computational results and four open questions. Zbl 0895.35100
Chen, Y.; McKenna, P. J.
8
1997
On solitary waves of a piecewise linear suspended beam model. Zbl 0903.73031
Champneys, A. R.; McKenna, P. J.
5
1997
On singular boundary value problems for the Monge-Ampère operator. Zbl 0856.35042
Lazer, A. C.; McKenna, P. J.
82
1996
Open problems in nonlinear ordinary boundary value problems arising from the study of large-amplitude periodic oscillations in suspension bridges. Zbl 0847.34024
Lazer, A. C.; McKenna, P. J.
2
1996
Numerical mountain pass methods for nonlinear boundary value problems. Zbl 0882.65099
Choi, Y. S.; McKenna, P. J.
1
1996
On a singular quasilinear anisotropic elliptic boundary value problem. Zbl 0835.35049
Choi, Y. S.; Lazer, A. C.; McKenna, P. J.
16
1995
Asymptotic behavior of solutions of boundary blow-up problems. Zbl 0811.35010
Lazer, A. C.; McKenna, P. J.
117
1994
Global bifurcation and a theorem of Tarantello. Zbl 0797.34021
Lazer, A. C.; McKenna, P. J.
68
1994
Nonlinear torsional flexings in a periodically forced suspended beam. Zbl 0811.73034
Jacover, Daniela; McKenna, P. J.
10
1994
A singular elliptic boundary value problem. Zbl 0817.35027
Lazer, A. C.; McKenna, P. J.
3
1994
Nonlinear periodic flexing in a floating beam. Zbl 0810.73024
Lazer, Alan C.; McKenna, P. J.
2
1994
On a problem of Bieberbach and Rademacher. Zbl 0833.35052
Lazer, A. C.; McKenna, P. J.
98
1993
A mountain pass method for the numerical solution of semilinear elliptic problems. Zbl 0779.35032
Choi, Y. S.; McKenna, P. J.
95
1993
A mountain pass method for the numerical solution of semilinear wave equations. Zbl 0796.65109
Choi, Y. S.; McKenna, P. J.; Romano, M.
19
1993
The study of a nonlinear suspension bridge equation by a variational reduction method. Zbl 0739.35044
Choi, Q-Heung; Jung, Tacksun; McKenna, Patrick J.
17
1992
Periodic bouncing for a forced linear spring with obstacle. Zbl 0757.34033
Lazer, A. C.; McKenna, P. J.
11
1992
On a singular nonlinear elliptic boundary-value problem. Zbl 0727.35057
Lazer, A. C.; McKenna, P. J.
391
1991
The structure of the solution set for periodic oscillations in a suspension bridge model. Zbl 0756.73041
Choi, Y. S.; Jen, K. C.; McKenna, P. J.
23
1991
Non-linear flexings in a periodically forced floating beam. Zbl 0723.35079
Lazer, A. C.; McKenna, P. J.
7
1991
Nonresonance conditions for the existence, uniqueness, and stability of periodic solutions of differential equations with a symmetric nonlinearities. Zbl 0731.34039
Lazer, A. C.; McKenna, P. J.
1
1991
Large-amplitude periodic oscillations in suspension bridges: Some new connections with nonlinear analysis. Zbl 0725.73057
Lazer, A. C.; McKenna, P. J.
390
1990
Travelling waves in a suspension bridge. Zbl 0699.73038
McKenna, P. J.; Walter, W.
111
1990
On the existence of stable periodic solutions of differential equations of Duffing type. Zbl 0714.34067
Lazer, A. C.; McKenna, P. J.
22
1990
Fredholm theory for periodic solutions of some semilinear p.d.e.s with homogeneous nonlinearities. Zbl 0712.35065
Lazer, A. C.; McKenna, P. J.
3
1990
Existence and stability of large scale nonlinear oscillations in suspension bridges. Zbl 0677.73046
Glover, J.; Lazer, A. C.; McKenna, P. J.
52
1989
Existence, uniqueness, and stability of oscillations in differential equations with asymmetric nonlinearities. Zbl 0725.34042
Lazer, A. C.; McKenna, P. J.
34
1989
A semi-Fredholm principle for periodically forced systems with homogeneous nonlinearities. Zbl 0683.34027
Lazer, A. C.; Mckenna, P. J.
25
1989
A symmetry theorem and applications to nonlinear partial differential equations. Zbl 0666.47038
Lazer, A. C.; McKenna, P. J.
32
1988
Nonlinear oscillations in a suspension bridge. Zbl 0676.35003
McKenna, P. J.; Walter, W.
141
1987
Large scale oscillatory behaviour in loaded asymmetric systems. Zbl 0633.34037
Lazer, A. C.; McKenna, P. J.
63
1987
On the Dirichlet problem for elliptic systems. Zbl 0593.35042
McKenna, Patrick J.; Walter, Wolfgang
34
1986
Critical point theory and boundary value problems with nonlinearities crossing multiple eigenvalues. II. Zbl 0654.35082
Lazer, A. C.; McKenna, P. J.
25
1986
Finite difference approximations to the Dirichlet problem for elliptic systems. Zbl 0602.65068
Huy, C. U.; McKenna, P. J.; Walter, W.
18
1986
Multiplicity of solutions of nonlinear boundary value problems. Zbl 0615.34011
Hart, D. C.; Lazer, A. C.; McKenna, P. J.
11
1986
Multiplicity of solutions of nonlinear boundary value problems with nonlinearities crossing several higher eigenvalues. Zbl 0588.35036
Lazer, A. C.; McKenna, P. J.
9
1986
On the multiplicity of the solution set of some nonlinear boundary value problems. II. Zbl 0615.35033
McKenna, P. J.; Walter, Wolfgang
3
1986
Multiplicity results for asymptotically homogeneous semilinear boundary value problems. Zbl 0607.35038
McKenna, P. J.; Redlinger, Reinhard; Walter, Wolfgang
2
1986
Multiplicity results for a class of semilinear elliptic and parabolic boundary value problems. Zbl 0584.35053
Lazer, A. C.; McKenna, P. J.
34
1985
Critical point theory and boundary value problems with nonlinearities crossing multiple eigenvalues. Zbl 0572.35036
Lazer, A. C.; McKenna, P. J.
24
1985
On solutions of a nonlinear wave question when the ratio of the period to the length of the interval is irrational. Zbl 0576.35081
McKenna, P. J.
20
1985
Multiple solutions of two point boundary value problems with jumping nonlinearities. Zbl 0576.34017
Hart, D. C.; Lazer, A. C.; McKenna, P. J.
18
1985
Multiplicity results for a semilinear boundary value problem with the nonlinearity crossing higher eigenvalues. Zbl 0582.35049
Lazer, A. C.; McKenna, P. J.
13
1985
Solving semilinear partial differential equations with probabilistic potential theory. Zbl 0577.60073
Glover, Joseph; McKenna, P. J.
7
1985
On the multiplicity of the solution set of some nonlinear boundary value problems. Zbl 0556.35024
McKenna, P. J.; Walter, Wolfgang
22
1984
Recent multiplicity results for nonlinear boundary value problems. Zbl 0559.35029
Lazer, A. C.; McKenna, P. J.
3
1984
Some perturbation results and their applications to stabilization of hyperbolic systems. Zbl 0559.35004
McKenna, P. J.; Lasiecka, I.
2
1984
Lower bounds for the first eigenvalue of the Laplacian, with Dirichlet boundary conditions and a theorem of Hayman. Zbl 0579.35064
McKenna, P. J.; Rao, Murali
1
1984
On a conjecture related to the number of solutions of a nonlinear Dirichlet problem. Zbl 0533.35037
Lazer, A. C.; McKenna, P. J.
59
1983
On nonlinear perturbations which cross the eigenvalues. Zbl 0528.47045
McKenna, P. J.
1
1983
On steady state solutions of a system of reaction-diffusion equations from biology. Zbl 0488.35039
Lazer, A. C.; McKenna, P. J.
35
1982
On limitations to the solution set of some nonlinear problems. Zbl 0551.35040
Lazer, Alan C.; McKenna, P. J.
2
1982
On some semilinear problems without compactness. Zbl 0531.47044
McKenna, P. J.
1
1982
On the number of solutions of a nonlinear Dirichlet problem. Zbl 0496.35039
Lazer, A. C.; McKenna, P. J.
72
1981
On the structure of the set of solutions to some nonlinear boundary-value problems. Zbl 0397.35010
Shaw, Howard; McKenna, P. J.
3
1980
On multiple solutions of a nonlinear Dirichlet problem. Zbl 0603.35033
Lazer, A. C.; McKenna, P. J.
1
1980
On a superlinear elliptic boundary value problem at resonance. Zbl 0499.35048
McKenna, P. J.
6
1979
Strongly nonlinear perturbations of nonnegative boundary value problems with kernel. Zbl 0405.34019
McKenna, P. J.; Rauch, J.
27
1978
On the reduction of a semilinear hyperbolic problem to a Landesman-Lazer problem. Zbl 0411.35059
McKenna, P. J.
7
1978
Uniqueness of solutions for semilinear equations at resonance. Zbl 0383.35026
McKenna, P. J.
2
1978
...and 5 more Documents
all top 5

Cited by 1,700 Authors

56 McKenna, Patrick Joseph
39 Zhang, Zhijun
33 Choi, Q-Heung
33 Papageorgiou, Nikolaos S.
30 Jung, Tacksun
23 Gazzola, Filippo
22 Lazer, Alan C.
20 Feng, Meiqiang
20 Rădulescu, Vicenţiu D.
20 Santos, Carlos Alberto P.
18 Yang, Zuodong
17 Ma, Qiaozhen
16 Lessard, Jean-Philippe
16 Ma, Ruyun
15 Abreu Goncalves, Jose Valdo
15 Mohammed, Ahmed
14 Oliva, Francescantonio
14 Zhang, Xuemei
13 Choi, Yung-Sze
13 Choudhuri, Debajyoti
13 Garain, Prashanta
13 García-Melián, Jorge
13 Li, Zhaoxiang
13 Mâagli, Habib
13 Reichel, Wolfgang
12 Korman, Philip L.
11 Porru, Giovanni
11 Schechter, Martin
11 Sciunzi, Berardino
11 Wan, Haitao
11 Zhang, Jihui
10 Dancer, Edward Norman
10 Kim, Eun Heui
10 Plum, Michael
10 Zanolin, Fabio
10 Zhou, Jianxin
9 An, Yukun
9 Cîrstea, Florica-Corina Şt.
9 Giorgi, Claudio
9 Godoy, Tomás F.
9 Guo, Zongming
9 Holubová, Gabriela
9 Mi, Ling
9 Moussaoui, Abdelkrim
9 Repovš, Dušan D.
9 Wang, Yuanming
8 Arioli, Gianni
8 Canino, Annamaria
8 Ghergu, Marius
8 Ghosh, Sekhar
8 Huang, Shuibo
8 Tang, Chun-Lei
8 Walter, Wolfgang
8 Zhao, Peihao
7 Alves, Claudianor Oliveira
7 Cesari, Lamberto
7 Chen, Haibo
7 Conti, Monica C.
7 Drábek, Pavel
7 Esposito, Francesco
7 Ferrero, Alberto
7 Fonda, Alessandro
7 Giarrusso, Ester
7 Hai, Dang Dinh
7 Heidarkhani, Shapour
7 Kang, Jum-Ran
7 Kannan, Rangachary
7 Li, Xiong
7 Liao, Jiafeng
7 López-Gómez, Julián
7 Malík, Josef
7 Mawhin, Jean
7 Ortega, Rafael
7 Terracini, Susanna
7 Tian, Qiaoyu
7 van den Berg, Jan Bouwe
7 Vuk, Elena
7 Xu, Ling
7 Yan, Shusen
7 Yang, Zhonghua
7 Zhu, Hailong
6 Agarwal, Ravi P.
6 Alsaedi, Ramzi S. N.
6 Bochicchio, Ivana
6 dos Santos, Gelson C. G.
6 Durastanti, Riccardo
6 Faraci, Francesca
6 Giachetti, Daniela
6 Guarnotta, Umberto
6 Levandosky, Steven Paul
6 Liu, Bin
6 Makarenkov, Oleg Yuryĭovych
6 da Silva Montenegro, Marcelo
6 Petitta, Francesco
6 Saccon, Claudio
6 Shi, Yongxiu
6 Solimini, Sergio
6 Srikanth, P. N.
6 Sun, Yijing
6 Tavares, Leandro S.
...and 1,600 more Authors
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Cited in 270 Serials

172 Journal of Mathematical Analysis and Applications
149 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
137 Journal of Differential Equations
72 Nonlinear Analysis. Theory, Methods & Applications
47 Boundary Value Problems
44 Applied Mathematics and Computation
29 Complex Variables and Elliptic Equations
28 Calculus of Variations and Partial Differential Equations
26 Applied Mathematics Letters
24 Applicable Analysis
24 ZAMP. Zeitschrift für angewandte Mathematik und Physik
24 Discrete and Continuous Dynamical Systems
22 Proceedings of the American Mathematical Society
22 Transactions of the American Mathematical Society
21 Journal of Computational and Applied Mathematics
21 Nonlinear Analysis. Real World Applications
19 Journal of Functional Analysis
18 Computers & Mathematics with Applications
17 Advanced Nonlinear Studies
17 Communications on Pure and Applied Analysis
17 Mediterranean Journal of Mathematics
16 Korean Journal of Mathematics
15 Electronic Journal of Differential Equations (EJDE)
14 Annali di Matematica Pura ed Applicata. Serie Quarta
14 NoDEA. Nonlinear Differential Equations and Applications
14 Advances in Nonlinear Analysis
13 Mathematical Methods in the Applied Sciences
12 Applied Numerical Mathematics
12 Journal of Scientific Computing
12 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
12 Abstract and Applied Analysis
12 Discrete and Continuous Dynamical Systems. Series S
11 Mathematische Nachrichten
11 Communications in Contemporary Mathematics
10 Mathematische Annalen
10 Zeitschrift für Analysis und ihre Anwendungen
10 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
10 Applications of Mathematics
10 Journal de Mathématiques Pures et Appliquées. Neuvième Série
9 Rocky Mountain Journal of Mathematics
9 Physica D
9 Acta Mathematicae Applicatae Sinica. English Series
9 Communications in Partial Differential Equations
9 Acta Mathematica Sinica. English Series
8 Journal of Computational Physics
8 Journal of Mathematical Physics
8 Nonlinearity
8 Positivity
8 Journal of Inequalities and Applications
8 AIMS Mathematics
7 Ricerche di Matematica
7 Journal of Dynamics and Differential Equations
7 Topological Methods in Nonlinear Analysis
7 Discrete and Continuous Dynamical Systems. Series B
7 Comptes Rendus. Mathématique. Académie des Sciences, Paris
7 Journal of Elliptic and Parabolic Equations
6 Archive for Rational Mechanics and Analysis
6 Journal d’Analyse Mathématique
6 Mathematische Zeitschrift
6 Numerical Functional Analysis and Optimization
6 Results in Mathematics
6 Taiwanese Journal of Mathematics
6 Acta Mathematica Scientia. Series B. (English Edition)
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6 Milan Journal of Mathematics
6 Advances in Difference Equations
6 Journal of Function Spaces
5 Applied Mathematics and Optimization
5 Monatshefte für Mathematik
5 Numerische Mathematik
5 Proceedings of the Edinburgh Mathematical Society. Series II
5 Acta Applicandae Mathematicae
5 Japan Journal of Industrial and Applied Mathematics
5 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
5 Opuscula Mathematica
5 Differential Equations and Dynamical Systems
5 Nonlinear Dynamics
5 Discrete Dynamics in Nature and Society
5 Communications in Nonlinear Science and Numerical Simulation
5 SIAM Journal on Applied Dynamical Systems
5 Journal of Fixed Point Theory and Applications
5 Analysis and Mathematical Physics
5 SN Partial Differential Equations and Applications
4 Bulletin of the Australian Mathematical Society
4 Advances in Mathematics
4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
4 Manuscripta Mathematica
4 Meccanica
4 Asymptotic Analysis
4 Science in China. Series A
4 Applied Mathematical Modelling
4 Journal of Nonlinear Science
4 Computational and Applied Mathematics
4 Mathematical Problems in Engineering
4 Qualitative Theory of Dynamical Systems
4 Mathematical Modelling and Analysis
4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
4 Boletim da Sociedade Paranaense de Matemática. Terceira Série
3 Lithuanian Mathematical Journal
3 Chaos, Solitons and Fractals
...and 170 more Serials
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Cited in 43 Fields

1,376 Partial differential equations (35-XX)
313 Ordinary differential equations (34-XX)
165 Numerical analysis (65-XX)
149 Operator theory (47-XX)
136 Mechanics of deformable solids (74-XX)
88 Global analysis, analysis on manifolds (58-XX)
86 Dynamical systems and ergodic theory (37-XX)
43 Potential theory (31-XX)
41 Calculus of variations and optimal control; optimization (49-XX)
33 Biology and other natural sciences (92-XX)
26 Mechanics of particles and systems (70-XX)
22 Functional analysis (46-XX)
22 Fluid mechanics (76-XX)
18 Probability theory and stochastic processes (60-XX)
16 Functions of a complex variable (30-XX)
13 Differential geometry (53-XX)
12 Systems theory; control (93-XX)
9 Optics, electromagnetic theory (78-XX)
8 Real functions (26-XX)
8 Integral equations (45-XX)
7 Difference and functional equations (39-XX)
7 Approximations and expansions (41-XX)
7 Harmonic analysis on Euclidean spaces (42-XX)
7 Quantum theory (81-XX)
5 Statistical mechanics, structure of matter (82-XX)
5 Operations research, mathematical programming (90-XX)
4 Topological groups, Lie groups (22-XX)
4 Computer science (68-XX)
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3 Special functions (33-XX)
3 General topology (54-XX)
3 Algebraic topology (55-XX)
2 Number theory (11-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Classical thermodynamics, heat transfer (80-XX)
2 Astronomy and astrophysics (85-XX)
1 General and overarching topics; collections (00-XX)
1 Mathematical logic and foundations (03-XX)
1 Nonassociative rings and algebras (17-XX)
1 Abstract harmonic analysis (43-XX)
1 Integral transforms, operational calculus (44-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

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