Paul Rabinowitz | Academic Influence

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Paul Rabinowitz

Mathematics

#1392

World Rank

#2305

Historical Rank

#579

USA Rank

Measure Theory

#216

World Rank

#335

Historical Rank

#96

USA Rank

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Mathematics

Paul Rabinowitz's Degrees

PhD Mathematics University of California, Berkeley
Bachelors Mathematics University of California, Berkeley

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Why Is Paul Rabinowitz Influential?

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According to Wikipedia, Paul H. Rabinowitz is the Edward Burr Van Vleck Professor of Mathematics and a Vilas Research Professor at the University of Wisconsin, Madison. He received a Ph.D. from New York University in 1966 under the direction of Jürgen Moser. From 1966 to 1969 he held a position as assistant professor at Stanford University. He has visited many mathematical institutions all over the world . In 1978 Paul Rabinowitz became a fellow of the John Simon Guggenheim Memorial Foundation.

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Paul Rabinowitz's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Dual variational methods in critical point theory and applications (1973) (4214)
Minimax methods in critical point theory with applications to differential equations (1986) (3943)
On a class of nonlinear Schrödinger equations (1992) (1827)
Some global results for nonlinear eigenvalue problems (1971) (1768)
Bifurcation from simple eigenvalues (1971) (1762)
Bifurcation, perturbation of simple eigenvalues, itand linearized stability (1973) (762)
Homoclinic orbits for second order Hamiltonian systems possessing superquadratic potentials (1991) (480)
Critical point theorems for indefinite functionals (1979) (456)
Homoclinic type solutions for a semilinear elliptic PDE on ℝn (1992) (442)
Some continuation and variational methods for positive solutions of nonlinear elliptic eigenvalue problems (1975) (440)
Periodic solutions of hamiltonian systems (1978) (419)
Homoclinic orbits for a class of Hamiltonian systems (1990) (367)
On a dirichlet problem with a singular nonlinearity (1977) (361)
Generalized cohomological index theories for Lie group actions with an application to bifurcation questions for Hamiltonian systems (1977) (353)
Some aspects of nonlinear eigenvalue problems (1973) (324)
Some results on connecting orbits for a class of Hamiltonian systems (1991) (288)
Multiple critical points of perturbed symmetric functionals (1982) (229)
On subharmonic solutions of hamiltonian systems (1980) (200)
Periodic Solutions of Nonlinear Hyperbolie Partial Differential Equations (1967) (175)
Some Minimax Theorems and Applications to Nonlinear Partial Differential Equations (1978) (170)
The Hopf Bifurcation Theorem in infinite dimensions (1977) (168)
Periodic and heteroclinic orbits for a periodic hamiltonian system (1989) (165)
On bifurcation from infinity (1973) (147)
Existence and nonuniqueness of rectangular solutions of the Bénard problem (1968) (147)
Periodic solutions of nonlinear hyperbolic partial differential equations. II (1969) (132)
Periodic solutions of Hamiltonian systems of 3-body type (1991) (124)
Periodic solutions of a Hamiltonian system on a prescribed energy surface (1979) (113)
Free vibrations for a semilinear wave equation (2010) (108)
Nonlinear sturm‐lionville problems for second order ordinary differential equations (1970) (108)
A minimax method for a class of Hamiltonian systems with singular potentials (1989) (105)
Variational Methods for Nonlinear Eigenvalue Problems (2009) (98)
Some Critical Point Theorems and Applications to Semilinear Elliptic Partial Differential Equations. (1978) (89)
Bifurcation for odd potential operators and an alternative topological index (1977) (88)
Periodic Solutions of Hamiltonian Systems: A Survey (1982) (87)
Some Problems in Nonlinear Analysis (1990) (84)
On a Class of Functionals Invariant under a Zn Action. (1988) (76)
A Global Theorem for Nonlinear Eigenvalue Problems and Applications (1971) (74)
Homoclinic and heteroclinic orbits for a class of Hamiltonian systems (1993) (73)
Mixed states for an Allen‐Cahn type equation (2003) (72)
Borsuk-Ulam Theorems for Arbitrary S1 Actions and Applications. (1982) (72)
A bifurcation theorem for potential operators (1977) (71)
A note on topological degree for potential operators (1975) (69)
Pairs of Positive Solutions of Nonlinear Elliptic Partial Differential Equations (1973) (69)
Heteroclinics for a reversible Hamiltonian system (1994) (60)
On the existence of periodic solutions for a class of symetric Hamiltonian systems (1987) (52)
Monotone schemes for semilinear elliptic systems related to ecology (1982) (49)
A note on a nonlinear eigenvalue problem for a class of differential equations (1971) (49)
IS THERE FAILURE OF THE INVERSE FUNCTION THEOREM ? (45)
Mixed states for an Allen-Cahn type equation, II (2004) (44)
Critical Point Theory and Applications to Differential Equations: A Survey (1995) (42)
Large amplitude time periodic solutions of a semilinear wave equation (1984) (40)
Periodic Solutions of Large Norm of Hamiltonian Systems. (1983) (38)
Multiple solutions of superlinear elliptic equations (2007) (37)
Time periodic solutions of nonlinear wave equations (1971) (36)
A Variational Construction of Chaotic Trajectories for a Reversible Hamiltonian System (1998) (36)
Directions in partial differential equations (1987) (33)
Periodic Solutions of Prescribed Energy for a Class of Hamiltonian Systems. (1984) (33)
A Variational Method for Finding Periodic Solutions of Differential Equations (1978) (32)
Solutions of heteroclinic type for some classes of semilinear elliptic partial differential equations (1994) (32)
Some Aspects of Critical Point Theory. (1983) (32)
Mathematical Theory of Bifurcation (1980) (30)
Multibump periodic solutions of a family of Hamiltonian systems (1994) (30)
Periodic Solutions of Hamiltonian Systems and Related Topics (1987) (28)
On the multiplicity of homoclinic orbits on Riemannian manifolds for a class of second order Hamiltonian systems (1994) (28)
Connecting orbits for a reversible Hamiltonian system (2000) (28)
On some results of Moser and of Bangert (2004) (27)
A rapid convergence method for a singular perturbation problem (1984) (27)
The Hopf Bifurcation Theorem. (1976) (26)
Extensions of Moser–Bangert Theory: Locally Minimal Solutions (2011) (26)
Symmetry of Traveling Wave Solutions to the Allen–Cahn Equation in R 2 (2012) (25)
Multibump Solutions for an Almost Periodically Forced Singular Hamiltonian System (1995) (25)
Heteroclinic solutions between stationary points at different energy levels (2001) (25)
A Note on a Nonlinear Elliptic Equation (1972) (23)
A multibump construction in a degenerate setting (1997) (22)
A variational construction of chaotic trajectories for a Hamiltonian system on a torus (1998) (22)
Nontrivial periodic solutions of a nonlinear beam equation (1982) (22)
On the existence of multi-transition solutions for a class of elliptic systems (2016) (19)
A note on periodic solutions of prescribed energy for singular Hamiltonian systems (1994) (19)
Extensions of Moser–Bangert Theory (2011) (18)
The effects of spatial heterogeneities on some multiplicity results (2015) (18)
A double well potential system (2016) (18)
POSITIVE SOLUTIONS FOR A NONLOCAL PROBLEM WITH SINGULARITY (2017) (18)
Homoclinics for an almost periodically forced singular Hamiltonian system (1995) (17)
Heteroclinics for a Hamiltonian system of double pendulum type (1997) (17)
On a Class of Reversible Elliptic Systems (2012) (16)
Chapter 14 Variational methods for hamiltonian systems (2002) (16)
Multichain-type solutions for Hamiltonian systems (2000) (16)
A Note on Heteroclinic Solutions of Mountain Pass Type for a Class of Nonlinear Elliptic PDE’s (2005) (15)
Heteroclinics for a reversible Hamiltonian system. II (1994) (15)
The mountain pass theorem: Theme and variations (1982) (15)
Global bifurcation for Fredholm operators (14)
On Some Results of Moser and of Bangert, II (2004) (14)
On the multiplicity of periodic solutions of mountain pass type for a class of semilinear PDE’s (2007) (14)
Hybrid mountain pass homoclinic solutions of a class of semilinear elliptic PDEs (2014) (14)
Some geometrical conditions for the existence of chaotic geodesics on a torus (2002) (13)
A nonlinear integral equation with applications to neutron transport theory (1969) (13)
Global bifurcation diagrams of one node solutions in a class of degenerate boundary value problems (2017) (13)
A new variational characterization of spatially heteroclinic solutions of a semilinear elliptic PDE (2003) (13)
On large norm periodic solutions of some differential equations (1982) (12)
THE PRINCIPLE OF EXCHANGE OF STABILITY (1977) (12)
On a class of infinite transition solutions for an Allen-Cahn model equation (2008) (12)
On a branching process in neutron transport theory (1973) (11)
Topological methods in bifurcation theory (1985) (11)
A minimax principle and applications to elliptic partial differential equations (1978) (11)
A REMARK ON A PRIORI BOUNDS AND EXISTENCE FOR PERIODIC SOLUTIONS OF HAMILTONIAN SYSTEMS (1987) (11)
Multiple Solutions to a Nonlinear Curl–Curl Problem in R 3 (2019) (11)
On the necessity of gaps (2006) (11)
On a phase transition model (2013) (11)
Solutions of mountain pass type for double well potential systems (2018) (10)
A discontinuous nonlinear eigenvalue/Free boundary problem (1982) (10)
A note on pairs of solutions of a nonlinear sturm-liouville problem (1974) (9)
A priori bounds for some bifurcation problems in fluid dynamics (1973) (9)
The calculus of variations and the forced pendulum (2008) (8)
Subharmonic Solutions of a Forced Wave Equation (1979) (8)
EXISTENCE OF MULTIPLE SOLUTIONS FOR QUASILINEAR DIAGONAL ELLIPTIC SYSTEMS (1999) (8)
A Nonlinear integral equation with applications to neutron transport theory (1969) (8)
Slopes of trigonal fibred surfaces and of higher dimensional fibrations (1981) (8)
Nodal Solutions for a Class of Degenerate Boundary Value Problems (2015) (8)
A note on topological degree theory for holomorphic maps (1973) (8)
Minimax Methods and Their Application to Partial Differential Equations (1984) (7)
A priori bounds for periodic solutions of a class of Hamiltonian systems (1988) (7)
Asymptotic behavior of minima and mountain pass solutions for a class of Allen-Cahn models (2013) (7)
A Survey of Bifurcation Theory (1976) (7)
On a Theorem of Hofer and Zehnder (1987) (7)
Nodal solutions for a class of degenerate one dimensional BVP's (2016) (7)
HOMOCLINIC SOLUTIONS FOR SECOND-ORDER NONLINEAR DIFFERENCE EQUATIONS WITH JACOBI OPERATORS (2017) (6)
EXISTENCE OF SOLUTIONS FOR DEGENERATE KIRCHHOFF TYPE PROBLEMS WITH FRACTIONAL p-LAPLACIAN (2017) (6)
Applications of Bifurcation Theory: Proceedings of an Advanced Seminar (1977) (6)
Spatially heteroclinic solutions for a semilinear elliptic P.D.E. (2002) (6)
BIFURCATION OF SOLUTIONS FROM INFINITY FOR CERTAIN NONLINEAR EIGENVALUE PROBLEMS OF FOURTH-ORDER ORDINARY DIFFERENTIAL EQUATIONS (2018) (6)
EXISTENCE OF SOLUTIONS FOR KIRCHHOFF TYPE EQUATIONS WITH UNBOUNDED POTENTIAL (2017) (5)
The Basin of Attraction of the Steady-States for a Chemotaxis Model in R 2 with Critical Mass (2012) (5)
Solutions of higher topological type for an Allen–Cahn model equation (2014) (5)
Periodic Solutions of Hamiltonian Equations and a Theorem of (1979) (5)
On a Theorem of Strobel (2001) (5)
On a class of nonlinear Schr6dinger equations (1992) (5)
EXISTENCE OF MULTI-PEAK SOLUTIONS FOR A CLASS OF QUASILINEAR PROBLEMS IN R N (2011) (5)
Periodic Solutions for Some Forced Singular Hamiltonian Systems (1990) (5)
Perturbations from Symmetry (1986) (5)
On a theorem of Weinstein (1987) (5)
A Note on a Class of Reversible Hamiltonian Systems (2009) (5)
A Curious Singular Perturbation Problem (1984) (4)
The structure of the set of 1-node solutions of a class of degenerate BVP's (2020) (4)
Multiple solutions of a nonlinear integral equation (1970) (4)
Infinite transition solutions for a class of Allen–Cahn model equations (2008) (4)
A variational shadowing method (2002) (4)
Multibump Solutions of a Semilinear Elliptic PDE on R n (1993) (4)
MULTIPLICITY OF SOLUTIONS FOR NONPERIODIC PERTURBED FRACTIONAL HAMILTONIAN SYSTEMS (2017) (4)
A Note on Mountain Pass Solutions for a Class of Allen-Cahn Models (Nonlinear Partial Differential Equations, Dynamical Systems and Their Applications) (2014) (4)
A nonlinear sturm-liouville theorem (1971) (3)
Minimal heteroclinic geodesics for the n-torus (1999) (3)
A Variant of the Mountain Pass Theorem and Variational Gluing (2020) (3)
A Survey of Some Superlinear Problems (1988) (3)
On global non-degeneracy conditions for chaotic behavior for a class of dynamical systems (2019) (3)
Solutions of a Lagrangian system on 2. (1999) (3)
Periodic Solutions of Some Problems of 3-Body Type (1990) (3)
Single and Multitransition Solutions for a Family of Semilinear Elliptic PDE’s (2011) (2)
HARMONIC-HYPERBOLIC GEOMETRIC FLOW (2017) (2)
The Mountain Pass Theorem and Some Applications (1986) (2)
ON PERIODIC SOLUTIONS OF HAMILTONIAN SYSTEMS OF ORDINARY DIFFERENTIAL EQUATIONS (1981) (2)
Time Periodic Solutions of A Semilinear Wave Equation (1978) (2)
ON APPROXIMATE SOLUTIONS TO ONE CLASS OF NON-LINEAR DIRICHLET ELLIPTIC BOUNDARY VALUE PROBLEMS (2)
Unbounded solutions for a periodic phase transition model (2016) (2)
Morse theory, minimax theory and their applications to nonlinear differential equations : held at Morningside Center of Mathematics, Chinese Academy of Sciences, Beijing April 1st to September 30th, 1999 (2003) (2)
On nontrivial solutions of a semilinear wave equation (2018) (2)
A Note on Heteroclinics for a Hamiltonian System of Double Pendulum Type (1999) (2)
A note on hybrid heteroclinic solutions for a class of semilinear elliptic PDE’s (2011) (2)
Minimax Methods for Indefinite Functionals. (1984) (2)
EXISTENCE AND MULTIPLICITY OF SOLUTIONS TO SEMILINEAR ELLIPTIC EQUATION WITH NONLINEAR TERM OF SUPERLINEAR AND SUBCRITICAL GROWTH (2018) (2)
REMARKS ON A LIMITING CASE IN THE TREATMENT OF NONLINEAR PROBLEMS WITH MOUNTAIN PASS GEOMETRY (2010) (2)
Gluing a mountain pass solution to a minimum (2009) (2)
A nondegeneracy condition for a semilinear elliptic system and the existence of multibump solutions (2021) (1)
A priori bounds for a semilinear wave equation (1979) (1)
Partial differential equations. — Multiple solutions of superlinear elliptic equations , by (2007) (1)
HETEROCLINIC ORBITS OF A SECOND ORDER NONLINEAR DIFFERENCE EQUATION (2017) (1)
A note on a theorem of R. Duffin (1986) (1)
A NEW PROOF OF A THEOREM OF STROBEL (2000) (1)
A note on a class of double well potential problems (2020) (1)
GROUND STATE SOLUTIONS FOR A QUASILINEAR SCHRÖDINGER EQUATION WITH SINGULAR COEFFICIENTS (2017) (1)
Applications to Hamiltonian Systems (1986) (0)
Heteroclinics in x 1 and x 2 (2011) (0)
The Simplest Heteroclinics (2011) (0)
Multiple Critical Points of Symmetric Functionals: The Unconstrained Case (1986) (0)
Multiple Critical Points of Symmetric Functionals: Problems with Constraints (1986) (0)
Periodic solutions of prescribed energy of hamiltonian systems (1988) (0)
On a phase transition model (2012) (0)
A Mixed Case (2011) (0)
More Basic Solutions (2011) (0)
Solutions of an Allen-Cahn Model Equation (2003) (0)
Some Variants of the Mountain Pass Theorem (1986) (0)
k-Transition Solutions for k > 2 (2011) (0)
Subharmonic Solutions of a Forced Wave Equation 0 ! (0)
Monotone 2-Transition Solutions (2011) (0)
ON THE DYNAMICS OF SECOND-ORDER LAGRANGIAN SYSTEMS (2017) (0)
LEVEk 4 Periodic solutions of IUamiltonian systems : a survey (0)
Solutions of mountain pass type for double well potential systems (2018) (0)
The Simplest Cases (2011) (0)
On Perturbations of Z sub 2 Symmetric Functionals. (1987) (0)
The Saddle Point Theorem (1986) (0)
On Uniqueness of Multi-bubble Blow-Up Solutions and Multi-solitons to -Critical Nonlinear Schrödinger Equations (2023) (0)
EXPONENTIAL STABILITY AND BLOW-UP FOR ABSTRACT NONLINEAR SYSTEM WITH SOURCE TERMS (2017) (0)
Variational Methods in Bifurcation Theory (1986) (0)
Partial Di ¤ erential Equations — A note on hybrid heteroclinic solutions for a class of semilinear elliptic PDEs (2011) (0)
Solutions of higher topological type for an Allen–Cahn model equation (2014) (0)
Nonlinear eigenvalue problems for elliptic partial differential equations (1973) (0)
Preliminary Schedule of Invited Talks August 9th, 2010 8:40-8:50 Welcome to the workshop and the BIRS centre 8:50-9:30 Prof. D. Jerison (MIT) Title: A gradient bound for free boundaries (2010) (0)
Preface for the special issue on “Nonlinear Analysis and Partial Differential Equations”: In honor of Professor Shair Ahmad on the occasion of his 85th birthday and retirement (2020) (0)
The Proof of Theorem 6.8 (2011) (0)
Some Generalizations of the Mountain Pass Theorem (1986) (0)
Monotone Multitransition Solutions (2011) (0)
Periodic-solutions of prescribed period for hamiltonian systems (1985) (0)
On Regularization of an Optimal Control Problem for Ill-Posed Nonlinear Elliptic Equations (2020) (0)
Function Spaces and the First Renormalized Functional (2011) (0)
ON OPTIMAL CONTROL PROBLEM FOR AN ILL-POSED STRONGLY NONLINEAR ELLIPTIC EQUATION WITH p -LAPLACE OPERATOR AND L 1 -TYPE OF NONLINEARITY (2019) (0)
EXISTENCE OF POSITIVE SOLUTIONS TO KIRCHHOFF TYPE PROBLEMS INVOLVING SINGULAR AND CRITICAL NONLINEARITIES (2018) (0)
A Method for Computing the Kernel (2010) (0)
Louis Nirenberg (1925–2020) (2021) (0)
A Class of Strictly 1-Monotone Infinite Transition Solutions of (PDE) (2011) (0)
On a class of 1-monotone solutions for a forced pendulum model (2009) (0)
Functionals with Symmetries and Index Theories (1986) (0)
Existence and multiplicity results for nonlinear eigenvalue problems with discontinuities (2012) (0)
Solutions of (PDE) with Two Transitions in x 1 and Heteroclinic Behavior in x 2 (2011) (0)

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