## Schechter, Martin

Compute Distance To:
 Author ID: schechter.martin Published as: Schechter, Martin; Schechter, M.; Schechter, Marin Homepage: https://www.math.uci.edu/~mschecht/ External Links: MGP · Wikidata · dblp · GND · IdRef
 Documents Indexed: 267 Publications since 1957, including 17 Books 1 Contribution as Editor · 1 Further Contribution Co-Authors: 28 Co-Authors with 80 Joint Publications 543 Co-Co-Authors
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### Co-Authors

 189 single-authored 17 Perera, Kanishka 15 Zou, Wenming 9 Tintarev, Kyril 6 Berger, Melvyn S. 6 Chen, Guanwei 6 Weder, Ricardo A. 4 Bers, Lipman 3 John, Fritz 2 Bonanno, Gabriele 2 Lebow, Arnold 2 Livrea, Roberto 2 Ramm, Alexander G. 2 Shapiro, Jack 2 Simon, Barry 2 Snow, Morris 1 Brownell, F. H. III 1 Chen, Linghua 1 Coburn, Lewis A. 1 Dash, A. T. 1 Devinatz, Allen 1 Dolph, Charles L. 1 Enss, Volker 1 Ercolano, Joseph L. 1 Freeman, Robert S. 1 Gårding, Lars 1 Goodrich, Robert Kent 1 Gustafson, Karl Edwin 1 Hartman, R. L. 1 Howland, James S. 1 Hudson, Robin Lyth 1 Ion, Patrick D. F. 1 Jaffé, Charles 1 Johanson, G. 1 Jones, William Branham 1 Kaniel, Shmuel 1 Klink, William H. 1 Koller, Herbert 1 Li, Lin 1 Marchand, Jean-Paul 1 Misra, Baidyanath 1 Parthasarathy, Kalyanapuram Rangachari 1 Pipan, John 1 Reinhardt, William P. 1 Schroeck, Franklin E. jun. 1 Seddighin, Morteza 1 Shirts, Randall B. 1 Sigal, Israel Michael 1 Sinha, Kalyan B. 1 Sun, Guozhang 1 Tadjeran, H. 1 Thron, Wolfgang Joseph 1 Ton-That, Tuong 1 Wang, Zhi-Qiang 1 Whitley, Robert J.
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### Serials

 15 Bulletin of the American Mathematical Society 13 Communications on Pure and Applied Mathematics 13 Transactions of the American Mathematical Society 9 Journal of Mathematical Analysis and Applications 9 Journal of Functional Analysis 7 Indiana University Mathematics Journal 7 Topological Methods in Nonlinear Analysis 6 Journal of Differential Equations 6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 6 Annali della Scuola Normale Superiore di Pisa. Scienze Fisiche e Matematiche. III. Ser 5 ZAMP. Zeitschrift für angewandte Mathematik und Physik 5 American Journal of Mathematics 5 Pacific Journal of Mathematics 4 Mathematical Proceedings of the Cambridge Philosophical Society 4 Duke Mathematical Journal 4 Communications on Applied Nonlinear Analysis 3 Journal of Mathematical Physics 3 Letters in Mathematical Physics 3 Journal of the London Mathematical Society. Second Series 3 Journal of Optimization Theory and Applications 3 Manuscripta Mathematica 3 Mathematische Nachrichten 3 Proceedings of the American Mathematical Society 3 Applied Mathematics Letters 3 NoDEA. Nonlinear Differential Equations and Applications 3 Abstract and Applied Analysis 2 Archive for Rational Mechanics and Analysis 2 Israel Journal of Mathematics 2 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Canadian Journal of Mathematics 2 Commentarii Mathematici Helvetici 2 Illinois Journal of Mathematics 2 Mathematica Scandinavica 2 Mathematika 2 Michigan Mathematical Journal 2 Ricerche di Matematica 2 Panamerican Mathematical Journal 2 Annals of Physics 2 Communications in Partial Differential Equations 2 Calculus of Variations and Partial Differential Equations 2 Boundary Value Problems 2 Scripta Mathematica 2 Complex Variables and Elliptic Equations 2 Cambridge Studies in Advanced Mathematics 2 Nonlinear Analysis. Theory, Methods & Applications 1 Applicable Analysis 1 International Journal of Theoretical Physics 1 Journal d’Analyse Mathématique 1 Mathematical Methods in the Applied Sciences 1 Nonlinearity 1 Rocky Mountain Journal of Mathematics 1 Studia Mathematica 1 Arkiv för Matematik 1 Chaos, Solitons and Fractals 1 Advances in Mathematics 1 Annales Polonici Mathematici 1 Compositio Mathematica 1 Functional Analysis and its Applications 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of the Mathematical Society of Japan 1 Mathematische Annalen 1 Monatshefte für Mathematik 1 Osaka Journal of Mathematics 1 The Quarterly Journal of Mathematics. Oxford Second Series 1 Rendiconti del Seminario Matematico della Università di Padova 1 Tohoku Mathematical Journal. Second Series 1 Bulletin de la Société Matheḿatique de Belgique. Série B 1 Journal of Operator Theory 1 Advances in Applied Mathematics 1 Differential and Integral Equations 1 Aequationes Mathematicae 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the Royal Irish Academy. Section A, Mathematical and Physical Sciences 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 Bulletin of the American Mathematical Society. New Series 1 Discrete and Continuous Dynamical Systems 1 Communications in Applied Analysis 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Electronic Journal of Qualitative Theory of Differential Equations 1 Annals of Mathematics. Second Series 1 The Quarterly Journal of Mathematics 1 Physical Review Letters 1 Nonlinear Analysis. Real World Applications 1 Discrete and Continuous Dynamical Systems. Series B 1 Proceedings of the Cambridge Philosophical Society 1 Bollettino della Unione Matematica Italiana. Series V. A 1 Journal of Mathematics and Mechanics 1 Cambridge Tracts in Mathematics 1 Graduate Studies in Mathematics 1 Journal of Fixed Point Theory and Applications
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### Fields

 164 Partial differential equations (35-XX) 90 Operator theory (47-XX) 81 Global analysis, analysis on manifolds (58-XX) 54 Calculus of variations and optimal control; optimization (49-XX) 13 Functional analysis (46-XX) 12 Ordinary differential equations (34-XX) 9 Quantum theory (81-XX) 8 Dynamical systems and ergodic theory (37-XX) 6 Difference and functional equations (39-XX) 5 Optics, electromagnetic theory (78-XX) 5 Operations research, mathematical programming (90-XX) 4 Real functions (26-XX) 3 General and overarching topics; collections (00-XX) 2 Potential theory (31-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Mechanics of particles and systems (70-XX) 1 Integral equations (45-XX) 1 Numerical analysis (65-XX) 1 Statistical mechanics, structure of matter (82-XX)

### Citations contained in zbMATH Open

218 Publications have been cited 2,930 times in 2,050 Documents Cited by Year
Principles of functional analysis. Zbl 0211.14501
Schechter, M.
1971
Spectra of partial differential operators. Zbl 0225.35001
Schechter, Martin
1971
Partial differential equations. Proceeding of the Summer Seminar, Boulder, Colorado, 1957. Zbl 0126.00207
1964
Linking methods in critical point theory. Zbl 0915.35001
Schechter, Martin
1999
Spectra of partial differential operators. (2nd ed.). Zbl 0607.35005
Schechter, Martin
1986
Sign-changing critical points from linking type theorems. Zbl 1186.35042
Schechter, M.; Zou, W.
2006
Semigroups of operators and measures of noncompactness. Zbl 0209.45002
Lebow, A.; Schechter, M.
1971
General boundary value problems for elliptic partial differential equations. Zbl 0087.30204
Schechter, Martin
1959
On the essential spectrum of an arbitrary operator. I. Zbl 0147.12101
Schechter, M.
1966
On the solvability of semilinear gradient operator equations. Zbl 0354.47025
Berger, Melvyn S.; Schechter, Martin
1977
Weak linking theorems and Schrödinger equations with critical Sobolev exponent. Zbl 1173.35482
Schechter, Martin; Zou, Wenming
2003
Critical point theory and its applications. Zbl 1125.58004
Zou, Wenming; Schechter, Martin
2006
The Fucik spectrum. Zbl 0833.35050
Schechter, Martin
1994
Superlinear problems. Zbl 1134.35346
Schechter, Martin; Zou, Wenming
2004
A variation of the mountain pass lemma and applications. Zbl 0756.35032
Schechter, Martin
1991
Operator methods in quantum mechanics. Zbl 0456.47012
Schechter, Martin
1981
Periodic non-autonomous second-order dynamical systems. Zbl 1099.34042
Schechter, Martin
2006
Unique continuation for Schrödinger operators with unbounded potentials. Zbl 0458.35024
Schechter, M.; Simon, B.
1980
On the Brézis-Nirenberg problem. Zbl 1200.35137
Schechter, M.; Zou, Wenming
2010
Embedding theorems and quasi-linear elliptic boundary value problems for unbounded domains. Zbl 0253.35038
Berger, Melvyn S.; Schechter, Martin
1973
Minimax systems and critical point theory. Zbl 1186.35043
Schechter, Martin
2009
Riesz operators and Fredholm perturbations. Zbl 0167.13301
Schechter, M.
1968
Principles of functional analysis. 2nd ed. Zbl 1002.46002
Schechter, Martin
2001
A generalization of the problem of transmission. Zbl 0094.29603
Schechter, Martin
1960
Invariance of the essential spectrum. Zbl 0132.35605
Schechter, M.
1965
On $$L^ p$$ estimates and regularity. I. Zbl 0113.30603
Schechter, M.
1963
Pairs of critical points produced by linking subsets with applications to semilinear elliptic problems. Zbl 0785.58017
Schechter, Martin; Tintarev, Kyril
1992
Negative norms and boundary problems. Zbl 0097.08401
Schechter, Martin
1960
Partial differential equations. With supplements by Lars Garding and A. N. Milgram. With a preface by A. S. Householder. Repr. of the 1964 orig. publ. by John Wiley-Interscience. Zbl 0514.35001
Bers, Lipman; John, Fritz; Schechter, Martin
1979
Partial differential equations. (Уравнения с частными производными. Translation by Yu. V. Egorov. Edited by O. A. Oleĭnik.) Zbl 0143.32403
Bers, Lipman; John, Fritz; Schechter, Martin; Gårding, Lars
1966
On the spectra of operators on tensor products. Zbl 0183.14102
Schechter, M.
1969
Quantities related to strictly singular operators. Zbl 0274.47007
Schechter, Martin
1972
Scattering theory for elliptic operators of arbitrary order. Zbl 0288.47012
Schechter, Martin
1974
On $$L^ p$$ estimates and regularity. II. Zbl 0131.09505
Schechter, M.
1963
Schechter, Martin
1998
Non-autonomous second order Hamiltonian systems. Zbl 1331.37085
Pipan, John; Schechter, Martin
2014
Infinitely many solutions to perturbed elliptic equations. Zbl 1139.35346
Schechter, M.; Zou, W.
2005
Mixed boundary problems for general elliptic equations. Zbl 0095.08001
Schechter, Martin
1960
Basic theory of Fredholm operators. Zbl 0145.39105
Schechter, M.
1967
Superlinear Schrödinger operators. Zbl 1243.35049
Schechter, Martin
2012
Remarks on elliptic boundary value problems. Zbl 0095.07902
Schechter, Martin
1959
Spectral theory for operators generated by elliptic boundary problems with eigenvalue parameter in boundary conditions. I, II. Zbl 0138.36201
Ercolano, J.; Schechter, M.
1965
Complex interpolation. Zbl 0153.16402
Schechter, M.
1967
Type (II) regions between curves of the Fučik spectrum. Zbl 0893.35039
Schechter, Martin
1997
Integral inequalities for partial differential operators and functions satisfying general boundary conditions. Zbl 0093.29401
Schechter, Martin
1959
On the Dirichlet problem for second order elliptic equations with coefficients singular at the boundary. Zbl 0106.07703
Schechter, Martin
1960
Hamiltonians for singular potentials. Zbl 0263.47009
Schechter, Martin
1972
Modern methods in partial differential equations. An introduction. Zbl 0377.35003
Schechter, Martin
1977
Resonance problems with respect to the Fucík spectrum. Zbl 0951.35049
Schechter, Martin
2000
A generalization of the saddle point method with applications. Zbl 0780.35001
Schechter, Martin
1992
Type II regions between curves of the Fučik spectrum and critical groups. Zbl 0940.35094
Perera, Kanishka; Schechter, Martin
1998
New linking theorem and sign-changing solutions. Zbl 1140.35431
Schechter, M.; Wang, Z. Q.; Zou, W.
2004
Non-periodic discrete Schrödinger equations: ground state solutions. Zbl 1375.39011
Chen, Guanwei; Schechter, Martin
2016
Rotationally invariant periodic solutions of semilinear wave equations. Zbl 0973.35024
Schechter, Martin
1998
The Fučik spectrum and critical groups. Zbl 0964.35054
Perera, Kanishka; Schechter, Martin
2001
Solution of nonlinear equations having asymptotic limits at zero and infinity. Zbl 1102.35325
Perera, Kanishka; Schechter, Martin
2001
A bounded mountain pass lemma without the (PS) condition and applications. Zbl 0757.35026
Schechter, Martin
1992
Existence solutions for second order Hamiltonian systems. Zbl 1333.34061
Li, Lin; Schechter, Martin
2016
Superlinear elliptic boundary value problems. Zbl 0839.35048
Schechter, Martin
1995
Homoclinic orbits for Schrödinger systems. Zbl 1195.35281
Schechter, Martin; Zou, Wenming
2003
Double resonance problems with respect to the Fučík spectrum. Zbl 1030.35079
Perera, Kanishka; Schechter, Martin
2003
The use of Cerami sequences in critical point theory. Zbl 1156.58006
Schechter, Martin
2007
Sandwich pairs in critical point theory. Zbl 1143.35061
Schechter, Martin
2008
Various types of boundary conditions for elliptic equations. Zbl 0095.08002
Schechter, Martin
1960
Coerciveness of linear partial differential operators for functions satisfying zero Dirichlet-type boundary data. Zbl 0101.31202
Schechter, Martin
1958
Essential self-adjointness of the Schrödinger operator with magnetic vector potential. Zbl 0323.35022
Schechter, Martin
1975
New saddle point theorems. Zbl 0846.46027
Schechter, Martin
1993
Polyhedral functions and multiparametric linear programming. Zbl 0595.90083
Schechter, M.
1987
A new criterion for scattering theory. Zbl 0414.47003
Schechter, Martin
1977
An introduction to nonlinear analysis. Zbl 1076.58009
Schechter, Martin
2004
Elliptic equations. Zbl 0128.09404
Bers, Lipman; Schechter, Martin
1964
Joint spectra and interpolation of operators. Zbl 0187.38001
Coburn, Lewis A.; Schechter, M.
1968
Best Fredholm perturbation theorems. Zbl 0611.47010
Schechter, M.; Whitley, Robert
1988
Solution of the nonlinear problem Au=N(u) in a Banach space. Zbl 0403.47030
Schechter, Martin; Shapiro, Jack; Snow, Morris
1978
The Klein-Gordon equation and scattering theory. Zbl 0347.35065
Schechter, Martin
1976
Double linking theorem and multiple solutions. Zbl 1232.35072
Schechter, M.; Zou, W.
2003
Periodic solutions of second-order nonautonomous dynamical systems. Zbl 1140.34366
Schechter, Martin
2006
On estimating elliptic partial differential operators in the $$L_ 2$$ Norm. Zbl 0079.11701
Schechter, Martin
1957
Topics in critical point theory. Zbl 1273.58003
Perera, Kanishka; Schechter, Martin
2013
Bounded resonance problems for semilinear elliptic equations. Zbl 0829.35040
Schechter, Martin
1995
Spectral theory for Fredholm operators. Zbl 0125.34803
Kaniel, S.; Schechter, M.
1963
On the invariance of the essential spectrum of an arbitrary operator. II. Zbl 0149.35402
Schechter, M.
1967
Nonlocal elliptic boundary value problems. Zbl 0152.11005
Schechter, M.
1966
A nonlinear elliptic boundary value problem. Zbl 0302.35044
Schechter, Martin
1974
Nonlinear elliptic boundary value problems at resonance. Zbl 0708.35033
Schechter, Martin
1990
A theorem on the existence of dyon solutions. Zbl 0464.35083
Schechter, M.; Weder, R.
1981
The intrinsic mountain pass. Zbl 0901.58008
Schechter, Martin
1995
On the essential spectrum of an elliptic operator perturbed by a potential. Zbl 0207.41502
Schechter, M.
1969
Nonlinear elliptic boundary value problems at strong resonance. Zbl 0721.35023
Schechter, Martin
1990
Critical points over splitting subspaces. Zbl 0779.58010
Schechter, Martin
1993
The Hampwile theorem for nonlinear eigenvalues. Zbl 0701.47036
Schechter, Martin
1989
A generalization of the Amann-Zehnder theorem to nonresonance problems with jumping nonlinearities. Zbl 0964.35052
Perera, Kanishka; Schechter, Martin
2000
Schechter, Martin
1998
Cut-off potentials and forms extensions. Zbl 0347.47015
Schechter, Martin
1976
Nonlinear Schrödinger operators with zero in the spectrum. Zbl 1326.35355
Schechter, Martin
2015
Periodic second order superlinear Hamiltonian systems. Zbl 1327.34073
Schechter, Martin
2015
On perturbations of essential spectra. Zbl 0192.47403
Schechter, M.
1969
Eigenvalues for semilinear boundary value problems. Zbl 0719.47048
Schechter, Martin; Tintarev, Kyril
1991
Essential spectra of elliptic partial differential equations. Zbl 0153.45501
Schechter, M.
1967
Critical point theory with weak-to-weak linking. Zbl 0942.58024
Schechter, Martin
1998
Multiple homoclinic solutions for discrete Schrödinger equations with perturbed and sublinear terms. Zbl 1464.35314
Chen, Guanwei; Schechter, Martin
2021
Schrödinger equations in nonlinear optics. Zbl 1476.90269
Schechter, Martin
2021
Critical point theory. Sandwich and linking systems. Zbl 1462.35008
Schechter, Martin
2020
Multiple solutions for non-periodic Schrödinger lattice systems with perturbation and super-linear terms. Zbl 1431.35167
Chen, Guanwei; Schechter, Martin
2019
Non-periodic Schrödinger lattice systems with perturbed and asymptotically linear terms: negative energy solutions. Zbl 1410.39003
Chen, Guanwei; Schechter, Martin
2019
Some notes on a superlinear second order Hamiltonian system. Zbl 1378.37107
Bonanno, Gabriele; Livrea, Roberto; Schechter, Martin
2017
Multiple solutions of second order Hamiltonian systems. Zbl 1413.35150
Bonanno, Gabriele; Livrea, Roberto; Schechter, Martin
2017
Global solutions of nonlinear Schrödinger equations. Zbl 1370.35138
Schechter, Martin
2017
Non-periodic discrete Schrödinger equations: ground state solutions. Zbl 1375.39011
Chen, Guanwei; Schechter, Martin
2016
Existence solutions for second order Hamiltonian systems. Zbl 1333.34061
Li, Lin; Schechter, Martin
2016
Homoclinic solutions of nonlinear second-order Hamiltonian systems. Zbl 1378.37108
Schechter, Martin
2016
Nonlinear Schrödinger operators with zero in the spectrum. Zbl 1326.35355
Schechter, Martin
2015
Periodic second order superlinear Hamiltonian systems. Zbl 1327.34073
Schechter, Martin
2015
Existence of the solution to electromagnetic wave scattering problem for an impedance body of an arbitrary shape. Zbl 1318.35116
Ramm, Alexander G.; Schechter, Martin
2015
Non-autonomous second order Hamiltonian systems. Zbl 1331.37085
Pipan, John; Schechter, Martin
2014
Ground state solutions for non-autonomous dynamical systems. Zbl 1366.34061
Schechter, Martin
2014
Topics in critical point theory. Zbl 1273.58003
Perera, Kanishka; Schechter, Martin
2013
Photonic lattices. Zbl 1285.82055
Schechter, Martin
2013
Superlinear Schrödinger operators. Zbl 1243.35049
Schechter, Martin
2012
Steady state solutions for Schrödinger equations governing nonlinear optics. Zbl 1279.78016
Schechter, Martin
2012
Nonautonomous second order Hamiltonian systems. Zbl 1235.37019
Schechter, Martin
2011
The role of core functions in semilinear elliptic problems. Zbl 1231.35078
Schechter, Martin
2011
Noncooperative elliptic systems. Zbl 1271.35021
Schechter, Martin
2011
On the Brézis-Nirenberg problem. Zbl 1200.35137
Schechter, M.; Zou, Wenming
2010
Monotonicity methods for infinite dimensional sandwich systems. Zbl 1197.35172
Schechter, Martin
2010
Variant sandwich pairs. Zbl 1186.35044
Schechter, Martin
2010
Minimax systems and critical point theory. Zbl 1186.35043
Schechter, Martin
2009
Sandwich pairs for $$p$$-Laplacian systems. Zbl 1165.49005
Perera, Kanishka; Schechter, Martin
2009
Schechter, Martin
2009
Sandwich pairs in critical point theory. Zbl 1143.35061
Schechter, Martin
2008
Flows and critical points. Zbl 1180.35260
Perera, Kanishka; Schechter, Martin
2008
Minimax systems. Zbl 1152.49005
Schechter, Martin
2008
Strong sandwich pairs. Zbl 1159.35036
Schechter, Martin
2008
Critical point methods. Zbl 1157.35050
Schechter, Martin
2008
Infinite-dimensional sandwich pairs. Zbl 1221.58011
Schechter, Martin
2008
The use of Cerami sequences in critical point theory. Zbl 1156.58006
Schechter, Martin
2007
Sandwich pairs in $$p$$-Laplacian problems. Zbl 1153.35041
Perera, Kanishka; Schechter, Martin
2007
Sign-changing critical points from linking type theorems. Zbl 1186.35042
Schechter, M.; Zou, W.
2006
Critical point theory and its applications. Zbl 1125.58004
Zou, Wenming; Schechter, Martin
2006
Periodic non-autonomous second-order dynamical systems. Zbl 1099.34042
Schechter, Martin
2006
Periodic solutions of second-order nonautonomous dynamical systems. Zbl 1140.34366
Schechter, Martin
2006
Sandwich pairs. Zbl 1128.49005
Schechter, Martin
2006
Linking in Hilbert space. Zbl 1161.58303
Schechter, Martin; Tintarev, Kyril
2006
Infinitely many solutions to perturbed elliptic equations. Zbl 1139.35346
Schechter, M.; Zou, W.
2005
Schechter, Martin
2005
Superlinear problems. Zbl 1134.35346
Schechter, Martin; Zou, Wenming
2004
New linking theorem and sign-changing solutions. Zbl 1140.35431
Schechter, M.; Wang, Z. Q.; Zou, W.
2004
An introduction to nonlinear analysis. Zbl 1076.58009
Schechter, Martin
2004
An infinite-dimensional linking theorem and applications. Zbl 1079.35036
Schechter, Martin; Zou, Wenming
2004
Weak linking theorems and Schrödinger equations with critical Sobolev exponent. Zbl 1173.35482
Schechter, Martin; Zou, Wenming
2003
Homoclinic orbits for Schrödinger systems. Zbl 1195.35281
Schechter, Martin; Zou, Wenming
2003
Double resonance problems with respect to the Fučík spectrum. Zbl 1030.35079
Perera, Kanishka; Schechter, Martin
2003
Double linking theorem and multiple solutions. Zbl 1232.35072
Schechter, M.; Zou, W.
2003
Schechter, Martin; Zou, Wenming
2003
Computation of critical groups in Fučík resonance problems. Zbl 1283.35041
Perera, Kanishka; Schechter, Martin
2003
On functionals bounded below. Zbl 1088.58504
Schechter, M.; Zou, W.
2003
Operator methods in quantum mechanics. Reprint of the 1981 original. Zbl 1029.47054
Schechter, Martin
2002
Some recent results in critical point theory. Zbl 1152.58303
Schechter, Martin
2002
Principles of functional analysis. 2nd ed. Zbl 1002.46002
Schechter, Martin
2001
The Fučik spectrum and critical groups. Zbl 0964.35054
Perera, Kanishka; Schechter, Martin
2001
Solution of nonlinear equations having asymptotic limits at zero and infinity. Zbl 1102.35325
Perera, Kanishka; Schechter, Martin
2001
Periodic solutions of semilinear higher dimensional wave equations. Zbl 1080.35045
Schechter, Martin
2001
Applications of Morse theory to the solution of semilinear problems depending on $$C^1$$ functionals. Zbl 1194.35187
Perera, Kanishka; Schechter, Martin
2001
Resonance problems with respect to the Fucík spectrum. Zbl 0951.35049
Schechter, Martin
2000
A generalization of the Amann-Zehnder theorem to nonresonance problems with jumping nonlinearities. Zbl 0964.35052
Perera, Kanishka; Schechter, Martin
2000
Nontrivial solutions of elliptic semilinear equations at resonance. Zbl 0958.35051
Perera, Kanishka; Schechter, Martin
2000
Multiple nontrivial solutions of elliptic semilinear equations. Zbl 0974.35037
Perera, Kanishka; Schechter, Martin
2000
Multiple solutions for semilinear elliptic problems. Zbl 1020.35023
Schechter, Martin
2000
Linking methods in critical point theory. Zbl 0915.35001
Schechter, Martin
1999
Semilinear elliptic equations having asymptotic limits at zero and infinity. Zbl 0987.35057
Perera, Kanishka; Schechter, Martin
1999
Schechter, Martin
1998
Type II regions between curves of the Fučik spectrum and critical groups. Zbl 0940.35094
Perera, Kanishka; Schechter, Martin
1998
Rotationally invariant periodic solutions of semilinear wave equations. Zbl 0973.35024
Schechter, Martin
1998
Schechter, Martin
1998
Critical point theory with weak-to-weak linking. Zbl 0942.58024
Schechter, Martin
1998
Morse index estimates in saddle point theorems without a finite-dimensional closed loop. Zbl 0933.37065
Perera, Kanishka; Schechter, Martin
1998
Eigenvalue problems for semilinear equations. Zbl 0905.35059
Schechter, Martin
1998
Type (II) regions between curves of the Fučik spectrum. Zbl 0893.35039
Schechter, Martin
1997
Resonance problems which intersect many eigenvalues. Zbl 0882.35047
Schechter, Martin
1997
Superlinear elliptic boundary value problems. Zbl 0839.35048
Schechter, Martin
1995
Bounded resonance problems for semilinear elliptic equations. Zbl 0829.35040
Schechter, Martin
1995
The intrinsic mountain pass. Zbl 0901.58008
Schechter, Martin
1995
The saddle point alternative. Zbl 0901.58007
Schechter, Martin
1995
Critical points when there is no saddle point geometry. Zbl 0864.58007
Schechter, Martin
1995
The Fucik spectrum. Zbl 0833.35050
Schechter, Martin
1994
Elliptic resonance problems with unequal limits at infinity. Zbl 0819.35059
Schechter, Martin
1994
Asymptotically linear elliptic boundary value problems. Zbl 0831.35065
Schechter, Martin
1994
Landesman-Lazer resonance problems and saddle point methods. Zbl 0828.35047
Schechter, Martin
1994
New saddle point theorems. Zbl 0846.46027
Schechter, Martin
1993
Critical points over splitting subspaces. Zbl 0779.58010
Schechter, Martin
1993
Splitting subspaces and saddle points. Zbl 0802.35049
Schechter, Martin
1993
Nonlinear eigenvalues and mountain pass methods. Zbl 0796.47052
Schechter, M.; Tintarev, K.
1993
Semilinear boundary value problems of the strong resonance type. Zbl 0806.35042
Schechter, Martin
1993
Strong resonance problems for elliptic semilinear boundary value problems. Zbl 0820.35070
Schechter, Martin
1993
Pairs of critical points produced by linking subsets with applications to semilinear elliptic problems. Zbl 0785.58017
Schechter, Martin; Tintarev, Kyril
1992
A generalization of the saddle point method with applications. Zbl 0780.35001
Schechter, Martin
1992
A bounded mountain pass lemma without the (PS) condition and applications. Zbl 0757.35026
Schechter, Martin
1992
The mountain cliff theorem. Zbl 0737.58015
Schechter, Martin
1992
A variation of the mountain pass lemma and applications. Zbl 0756.35032
Schechter, Martin
1991
Eigenvalues for semilinear boundary value problems. Zbl 0719.47048
Schechter, Martin; Tintarev, Kyril
1991
...and 118 more Documents
all top 5

### Cited by 1,957 Authors

 125 Schechter, Martin 46 Jeribi, Aref 45 Tang, Xianhua 29 Zou, Wenming 23 Chen, Guanwei 22 Wu, Xian 18 Chen, Haibo 17 Medková, Dagmar 16 González Ortiz, Manuel 14 Weder, Ricardo A. 13 Ma, Shiwang 13 Papageorgiou, Nikolaos S. 13 Wong, Man Wah 13 Zhang, Xingyong 12 Ammar, Aymen 12 Li, Shujie 12 Tang, Chun-Lei 11 Miyagaki, Olimpio Hiroshi 11 Simon, Barry 11 Zhang, Zhitao 10 Krichen, Bilel 9 Alves, Claudianor Oliveira 9 Latrach, Khalid 9 Moalla, Nedra 9 Perera, Kanishka 9 Qin, Dongdong 9 Shlapunov, Aleksandr Anatol’evich 9 Zhang, Ziheng 8 Han, Zhiqing 8 Tintarev, Kyril 8 Wu, Xingping 8 Zhang, Liang 7 Aiena, Pietro 7 Chen, Yi 7 Da Silva, Edcarlos Domingos 7 Dehici, Abdelkader 7 Evans, William Desmond 7 Gesztesy, Fritz 7 Precup, Radu 7 Rejto, P. A. 7 Sattorov, Ermamat N. 7 Su, Jiabao 7 Wang, Youjun 7 Yang, Minbo 7 Zhang, Fubao 7 Zhang, Jian 7 Zhang, Wen 7 Zhou, Huan-Song 6 Cross, Ronald 6 Harte, Robin E. 6 Kalf, Hubert 6 Magenes, Enrico 6 Motreanu, Dumitru 6 Roĭtberg, Yakov Abramovich 6 Sun, Jijiang 6 Torres Ledesma, César Enrique 6 Walha, Ines 6 Yao, Xiaohua 6 Yu, Jian-She 6 Zhang, Jihui 6 Zhao, Fukun 5 Abdmouleh, Faiçal 5 Ambrosio, Vincenzo 5 Benci, Vieri 5 Benhassine, Abderrazek 5 Charfi, Salma 5 Chen, Jianyi 5 Chen, Shangjie 5 Chen, Sitong 5 Dash, A. T. 5 Duggal, Bhagwati Prashad 5 Fink, James P. 5 He, Xiaoming 5 Li, Chong 5 Lions, Jacques-Louis 5 Liu, Chungen 5 Liu, Xia 5 Mahfoudhi, Kamel 5 Martínez-Abejón, Antonio 5 Maz’ya, Vladimir Gilelevich 5 Mnif, Maher 5 Molica Bisci, Giovanni 5 Reichel, Wolfgang 5 Shi, Haiping 5 Simader, Christian Georg 5 Tang, Chunlei 5 Tarkhanov, Nikolai N. 5 Tylli, Hans-Olav 5 Varga, Csaba György 5 Verbitsky, Igor E. 5 Xu, Junxiang 5 Zhang, Yuanbiao 5 Zhou, Jianxin 4 Alessandrini, Giovanni 4 Allegretto, Walter 4 Behrndt, Jussi 4 Berger, Melvyn S. 4 Bramble, James H. 4 Che, Guofeng 4 Chen, Jianqing ...and 1,857 more Authors
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### Cited in 317 Serials

 193 Journal of Mathematical Analysis and Applications 89 Journal of Differential Equations 84 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 76 Journal of Functional Analysis 49 Transactions of the American Mathematical Society 43 Proceedings of the American Mathematical Society 43 Boundary Value Problems 37 Journal of Mathematical Physics 35 Annali di Matematica Pura ed Applicata. Serie Quarta 33 Communications in Mathematical Physics 31 Nonlinear Analysis. Theory, Methods & Applications 29 Mathematische Zeitschrift 26 Archive for Rational Mechanics and Analysis 26 Applied Mathematics Letters 25 Mathematical Methods in the Applied Sciences 23 Ukrainian Mathematical Journal 23 Annali della Scuola Normale Superiore di Pisa. Scienze Fisiche e Matematiche. III. Ser 21 Bulletin of the American Mathematical Society 20 Applied Mathematics and Computation 20 Communications in Partial Differential Equations 20 Calculus of Variations and Partial Differential Equations 19 Mathematische Annalen 18 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 17 Israel Journal of Mathematics 17 Integral Equations and Operator Theory 17 Mediterranean Journal of Mathematics 16 Applicable Analysis 16 ZAMP. Zeitschrift für angewandte Mathematik und Physik 16 Czechoslovak Mathematical Journal 16 Complex Variables and Elliptic Equations 15 Letters in Mathematical Physics 15 Journal of Mathematical Sciences (New York) 15 Nonlinear Analysis. Real World Applications 14 Computers & Mathematics with Applications 14 Communications on Pure and Applied Analysis 13 Journal d’Analyse Mathématique 13 Manuscripta Mathematica 13 Abstract and Applied Analysis 13 Advances in Difference Equations 12 Rocky Mountain Journal of Mathematics 12 Mathematische Nachrichten 12 Siberian Mathematical Journal 12 Acta Applicandae Mathematicae 12 Journal of Applied Mathematics and Computing 11 Indagationes Mathematicae. New Series 11 Discrete and Continuous Dynamical Systems 10 Bulletin of the Australian Mathematical Society 10 Mathematical Notes 10 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 10 NoDEA. Nonlinear Differential Equations and Applications 9 Mathematical Proceedings of the Cambridge Philosophical Society 9 Mathematics of Computation 9 Advances in Mathematics 9 Annales de l’Institut Fourier 9 Quaestiones Mathematicae 9 Journal of Dynamics and Differential Equations 8 Journal of Computational and Applied Mathematics 8 Publications of the Research Institute for Mathematical Sciences, Kyoto University 8 Rendiconti del Circolo Matemàtico di Palermo. Serie II 8 Acta Mathematicae Applicatae Sinica. English Series 8 Journal of Elasticity 8 Potential Analysis 8 Differential Equations 8 Advanced Nonlinear Studies 8 Journal of Pseudo-Differential Operators and Applications 8 Journal of Elliptic and Parabolic Equations 8 Journal of Siberian Federal University. Mathematics & Physics 7 Glasgow Mathematical Journal 7 Journal of Optimization Theory and Applications 7 Rendiconti del Seminario Matematico della Università di Padova 7 Proceedings of the Japan Academy 6 Arkiv för Matematik 6 Archiv der Mathematik 6 Duke Mathematical Journal 6 Monatshefte für Mathematik 6 Tohoku Mathematical Journal. Second Series 6 RAIRO. Modélisation Mathématique et Analyse Numérique 6 The Journal of Geometric Analysis 6 Journal of Global Optimization 6 Journal de Mathématiques Pures et Appliquées. Neuvième Série 6 Taiwanese Journal of Mathematics 6 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 6 Journal of Fixed Point Theory and Applications 6 Journal of Nonlinear Science and Applications 5 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 5 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 5 Applied Mathematics and Optimization 5 Functional Analysis and its Applications 5 International Journal of Mathematics and Mathematical Sciences 5 Numerische Mathematik 5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 5 Applications of Mathematics 5 Bulletin of the American Mathematical Society. New Series 5 Acta Mathematica Sinica. English Series 5 Science China. Mathematics 5 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 4 Computer Methods in Applied Mechanics and Engineering 4 Communications on Pure and Applied Mathematics 4 Inventiones Mathematicae 4 Journal of Soviet Mathematics ...and 217 more Serials
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### Cited in 54 Fields

 1,172 Partial differential equations (35-XX) 632 Operator theory (47-XX) 245 Global analysis, analysis on manifolds (58-XX) 240 Ordinary differential equations (34-XX) 190 Functional analysis (46-XX) 122 Dynamical systems and ergodic theory (37-XX) 112 Calculus of variations and optimal control; optimization (49-XX) 101 Quantum theory (81-XX) 72 Numerical analysis (65-XX) 49 Mechanics of deformable solids (74-XX) 46 Difference and functional equations (39-XX) 46 Fluid mechanics (76-XX) 39 Potential theory (31-XX) 30 Functions of a complex variable (30-XX) 29 Statistical mechanics, structure of matter (82-XX) 28 Harmonic analysis on Euclidean spaces (42-XX) 28 Mechanics of particles and systems (70-XX) 27 Optics, electromagnetic theory (78-XX) 26 Integral equations (45-XX) 26 Operations research, mathematical programming (90-XX) 25 Probability theory and stochastic processes (60-XX) 22 Real functions (26-XX) 22 Differential geometry (53-XX) 14 Biology and other natural sciences (92-XX) 14 Systems theory; control (93-XX) 12 Several complex variables and analytic spaces (32-XX) 9 Approximations and expansions (41-XX) 9 Relativity and gravitational theory (83-XX) 8 General topology (54-XX) 7 Measure and integration (28-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Topological groups, Lie groups (22-XX) 6 Computer science (68-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Number theory (11-XX) 4 General and overarching topics; collections (00-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 History and biography (01-XX) 3 Convex and discrete geometry (52-XX) 2 Mathematical logic and foundations (03-XX) 2 Combinatorics (05-XX) 2 Field theory and polynomials (12-XX) 2 Associative rings and algebras (16-XX) 2 Special functions (33-XX) 2 Sequences, series, summability (40-XX) 2 Integral transforms, operational calculus (44-XX) 2 Algebraic topology (55-XX) 2 Statistics (62-XX) 2 Astronomy and astrophysics (85-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Group theory and generalizations (20-XX) 1 Abstract harmonic analysis (43-XX)

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