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Author ID: perera.kanishka Recent zbMATH articles by "Perera, Kanishka"
Published as: Perera, Kanishka; Perera, K.; Perera, Kaniskha
Homepage: https://www.fit.edu/faculty-profiles/5/kanishka-perera/
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Serials

15 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
12 Topological Methods in Nonlinear Analysis
9 Journal of Mathematical Analysis and Applications
8 NoDEA. Nonlinear Differential Equations and Applications
6 Journal of Differential Equations
6 Calculus of Variations and Partial Differential Equations
5 Abstract and Applied Analysis
4 Advances in Nonlinear Analysis
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Bulletin of the London Mathematical Society
3 Mathematische Nachrichten
3 Proceedings of the American Mathematical Society
3 Differential and Integral Equations
3 Electronic Journal of Differential Equations (EJDE)
3 Discrete and Continuous Dynamical Systems
3 Communications in Contemporary Mathematics
3 Advances in Difference Equations
3 Discrete and Continuous Dynamical Systems. Series S
2 Applicable Analysis
2 Indiana University Mathematics Journal
2 Manuscripta Mathematica
2 Applied Mathematics Letters
2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
2 Advanced Nonlinear Studies
2 Communications on Pure and Applied Analysis
2 Boundary Value Problems
2 Complex Variables and Elliptic Equations
1 Houston Journal of Mathematics
1 Nonlinearity
1 Canadian Mathematical Bulletin
1 Journal of Functional Analysis
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 The Journal of Geometric Analysis
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Advances in Differential Equations
1 Nonlinear Studies
1 Communications in Applied Analysis
1 Differential Equations
1 Nonlinear Analysis. Real World Applications
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
1 Cambridge Tracts in Mathematics
1 Mathematical Surveys and Monographs
1 Journal of Fixed Point Theory and Applications
1 Advances in Calculus of Variations
1 Journal of Nonlinear and Variational Analysis

Publications by Year

Citations contained in zbMATH Open

118 Publications have been cited 2,627 times in 1,819 Documents Cited by Year
Nontrivial solutions of Kirchhoff-type problems via the Yang index. Zbl 1357.35131
Perera, Kanishka; Zhang, Zhitao
409
2006
Sign changing solutions of Kirchhoff type problems via invariant sets of descent flow. Zbl 1100.35008
Zhang, Zhitao; Perera, Kanishka
320
2006
Existence results for fractional \(p\)-Laplacian problems via Morse theory. Zbl 1515.35318
Iannizzotto, Antonio; Liu, Shibo; Perera, Kanishka; Squassina, Marco
164
2016
Multiple positive solutions of singular and nonsingular discrete problems via variational methods. Zbl 1070.39005
Agarwal, Ravi P.; Perera, Kanishka; O’Regan, Donal
138
2004
Multiple positive solutions of singular discrete \(p\)-Laplacian problems via variational methods. Zbl 1098.39001
Agarwal, Ravi P.; Perera, Kanishka; O’Regan, Donal
121
2005
Morse theoretic aspects of \(p\)-Laplacian type operators. Zbl 1192.58007
Perera, Kanishka; Agarwal, Ravi P.; O’Regan, Donal
104
2010
The Brezis-Nirenberg problem for the fractional \(p\)-Laplacian. Zbl 1361.35198
Mosconi, Sunra; Perera, Kanishka; Squassina, Marco; Yang, Yang
102
2016
Existence results for double-phase problems via Morse theory. Zbl 1379.35152
Perera, Kanishka; Squassina, Marco
87
2018
Bifurcation and multiplicity results for critical fractional \(p\)-Laplacian problems. Zbl 1336.35050
Perera, Kanishka; Squassina, Marco; Yang, Yang
70
2016
Nontrivial critical groups in \(p\)-Laplacian problems via the Yang index. Zbl 1039.47041
Perera, Kanishka
63
2003
Basic properties of Sobolev’s spaces on time scales. Zbl 1139.39022
Agarwal, Ravi P.; Otero-Espinar, Victoria; Perera, Kanishka; Vivero, Dolores R.
50
2006
Existence and multiplicity of positive solutions for singular quasilinear problems. Zbl 1168.35358
Perera, Kanishka; Silva, Elves A. B.
41
2006
Sign-changing and multiple solutions for the \(p\)-Laplacian. Zbl 1106.35308
Carl, Siegfried; Perera, Kanishka
37
2002
Multiple positive solutions of singular \(p\)-Laplacian problems by variational methods. Zbl 1220.35082
Perera, Kanishka; Zhang, Zhitao
36
2005
On a class of critical \((p,q)\)-Laplacian problems. Zbl 1328.35053
Candito, Pasquale; Marano, Salvatore A.; Perera, Kanishka
35
2015
Some remarks on the Fučík spectrum of the \(p\)-Laplacian and critical groups. Zbl 0970.35056
Dancer, Norman; Perera, Kanishka
33
2001
Multiplicity results for some elliptic problems with concave nonlinearities. Zbl 0889.35036
Perera, Kanishka
33
1997
Multiplicity of solutions for a quasilinear elliptic problem via the cohomological index. Zbl 1173.35480
Medeiros, Everaldo; Perera, Kanishka
29
2009
\(p\)-Laplacian problems where the nonlinearity crosses an eigenvalue. Zbl 1094.35052
Perera, Kanishka; Szulkin, Andrzej
29
2005
Multiple positive solutions of singular Dirichlet problems on time scales via variational methods. Zbl 1129.34015
Agarwal, Ravi P.; Otero-Espinar, Victoria; Perera, Kanishka; Vivero, Dolores R.
27
2007
Bifurcation results for problems with fractional Trudinger-Moser nonlinearity. Zbl 1374.35185
Perera, Kanishka; Squassina, Marco
24
2018
A note on the Dancer-Fučík spectra of the fractional \(p\)-Laplacian and Laplacian operators. Zbl 1432.35228
Perera, Kanishka; Squassina, Marco; Yang, Yang
23
2015
Computation of critical groups in elliptic boundary-value problems where the asymptotic limits may not exist. Zbl 1114.35321
Li, Shujie; Perera, Kanishka; Su, Jiabao
22
2001
On singular \(p\)-Laplacian problems. Zbl 1212.34048
Perera, Kanishka; Silva, Elves A. B.
21
2007
Multiple positive solutions of singular problems by variational methods. Zbl 1094.34013
Agarwal, Ravi P.; Perera, Kanishka; O’Regan, Donal
20
2006
Multiple positive solutions for a class of quasilinear elliptic boundary-value problems. Zbl 1019.35031
Perera, Kanishka
19
2003
On the Fučík spectrum of the \(p\)-Laplacian. Zbl 1068.35086
Perera, Kanishka
19
2004
\(N\)-Laplacian problems with critical Trudinger-Moser nonlinearities. Zbl 1359.35083
Yang, Yang; Perera, Kanishka
17
2016
Critical fractional \(p\)-Laplacian problems with possibly vanishing potentials. Zbl 1403.35319
Perera, Kanishka; Squassina, Marco; Yang, Yang
17
2016
Existence and multiplicity results for a Sturm-Liouville equation asymptotically linear at \(-\infty\) and superlinear at \(+\infty\). Zbl 0942.34021
Perera, Kanishka
16
2000
Homological local linking. Zbl 0971.58007
Perera, Kanishka
15
1998
Topics in critical point theory. Zbl 1273.58003
Perera, Kanishka; Schechter, Martin
15
2013
A variational approach to singular quasilinear elliptic problems with sign changing nonlinearities. Zbl 1170.35041
Agarwal, Ravi P.; Perera, Kanishka; O’Regan, Donal
15
2006
A note on fractional \(p\)-Laplacian problems with singular weights. Zbl 1366.35105
Ho, Ky; Perera, Kanishka; Sim, Inbo; Squassina, Marco
14
2017
Some results for impulsive problems via Morse theory. Zbl 1306.34042
Agarwal, Ravi P.; Bhaskar, T. Gnana; Perera, Kanishka
14
2014
The Fučik spectrum and critical groups. Zbl 0964.35054
Perera, Kanishka; Schechter, Martin
14
2001
Solution of nonlinear equations having asymptotic limits at zero and infinity. Zbl 1102.35325
Perera, Kanishka; Schechter, Martin
14
2001
Double resonance problems with respect to the Fučík spectrum. Zbl 1030.35079
Perera, Kanishka; Schechter, Martin
14
2003
Type II regions between curves of the Fučik spectrum and critical groups. Zbl 0940.35094
Perera, Kanishka; Schechter, Martin
14
1998
Critical groups of pairs of critical points produced by linking subsets. Zbl 0889.58025
Perera, Kanishka
14
1997
Existence of multiple positive solutions for second order nonlinear dynamic BVPs by variational methods. Zbl 1126.34018
Agarwal, Ravi P.; Otero-Espinar, Victoria; Perera, Kanishka; Vivero, Dolores R.
14
2007
Bifurcation and multiplicity results for critical \(p\)-Laplacian problems. Zbl 1379.35153
Perera, Kanishka; Squassina; Yang, Yang
13
2016
\((N,q)\)-Laplacian problems with critical Trudinger-Moser nonlinearities. Zbl 1337.35063
Yang, Yang; Perera, Kanishka
12
2016
A class of semipositone \(p\)-Laplacian problems with a critical growth reaction term. Zbl 1421.35178
Perera, Kanishka; Shivaji, Ratnasingham; Sim, Inbo
12
2020
\(p\)-Laplacian problems involving critical Hardy-Sobolev exponents. Zbl 1401.35109
Perera, Kanishka; Zou, Wenming
12
2018
On singular quasi-monotone \((p, q)\)-Laplacian systems. Zbl 1252.35144
El Manouni, Said; Perera, Kanishka; Shivaji, Ratnasingham
12
2012
An existence result for a class of quasilinear elliptic eigenvalue problems in unbounded domains. Zbl 1296.35108
Perera, Kanishka; Pucci, Patrizia; Varga, Csaba
11
2014
Multiple positive solutions in the sense of distributions of singular BVPs on time scales and an application to Emden-Fowler equations. Zbl 1153.39006
Agarwal, Ravi P.; Otero-Espinar, Victoria; Perera, Kanishka; Vivero, Dolores R.
11
2008
Critical groups of critical points produced by local linking with applications. Zbl 0972.58008
Perera, Kanishka
10
1998
Resonance problems with respect to the Fučík spectrum of the \(p\)-Laplacian. Zbl 1068.35508
Perera, Kanishka
10
2002
Higher critical points in an elliptic free boundary problem. Zbl 1391.35429
Jerison, David; Perera, Kanishka
10
2018
Nontrivial solutions of \(p\)-superlinear \(p\)-Laplacian problems via a cohomological local splitting. Zbl 1192.58006
Degiovanni, Marco; Lancelotti, Sergio; Perera, Kanishka
10
2010
Nonlinear integral equations singular in the dependent variable. Zbl 1138.45004
O’Regan, Donal; Agarwal, Ravi P.; Perera, Kanishka
9
2007
Wirtinger’s inequalities on time scales. Zbl 1148.26020
Agarwal, Ravi P.; Otero-Espinar, Victoria; Perera, Kanishka; Vivero, Dolores R.
8
2008
Generalized solutions of singular \(p\)-Laplacian problems in \(\mathbb R^N\). Zbl 1217.35083
Carl, Siegfried; Perera, Kanishka
8
2011
Nontrivial solutions of \(p\)-superlinear \(p\)-Laplacian problems. Zbl 1039.35043
Perera, Kanishka
7
2003
Positive solutions of multiparameter semipositone \(p\)-Laplacian problems. Zbl 1135.35340
Perera, Kanishka; Shivaji, Ratnasingham
7
2008
Weak solutions of quasilinear elliptic systems via the cohomological index. Zbl 1217.35061
Candela, Anna Maria; Medeiros, Everaldo; Palmieri, Giuliana; Perera, Kaniskha
7
2010
A generalization of the Amann-Zehnder theorem to nonresonance problems with jumping nonlinearities. Zbl 0964.35052
Perera, Kanishka; Schechter, Martin
7
2000
Multiplicity results for critical \(p\)-Laplacian problems. Zbl 1376.35079
Barletta, Giuseppina; Candito, Pasquale; Marano, Salvatore A.; Perera, Kanishka
6
2017
Asymptotic behavior of the eigenvalues of the \(p(x)\)-Laplacian. Zbl 1325.35127
Perera, Kanishka; Squassina, Marco
6
2014
Two solutions for a parametric singular \(p\)-Laplacian problem. Zbl 1473.35309
Candito, Pasquale; Guarnotta, Umberto; Perera, Kanishka
6
2020
Computation of critical groups in resonance problems where the nonlinearity may not be sublinear. Zbl 1088.58005
Li, Shujie; Perera, Kanishka
6
2001
An introduction to complex analysis. Zbl 1230.30001
Agarwal, Ravi P.; Perera, Kanishka; Pinelas, Sandra
6
2011
Multiple solutions for \(p\)-Laplacian type problems with asymptotically \(p\)-linear terms via a cohomological index theory. Zbl 1317.35056
Candela, A. M.; Palmieri, G.; Perera, K.
5
2015
Nontrivial solutions of elliptic semilinear equations at resonance. Zbl 0958.35051
Perera, Kanishka; Schechter, Martin
5
2000
Multiple positive solutions of singular elliptic problems. Zbl 1240.35202
Perera, Kanishka; Silva, Elves A. B.
5
2010
On some nonlocal eigenvalue problems. Zbl 1263.47074
Agarwal, Ravi P.; Perera, Kanishka; Zhang, Zhitao
5
2012
On critical \(p\)-Laplacian systems. Zbl 1372.35034
Guo, Zhenyu; Perera, Kanishka; Zou, Wenming
4
2017
\(p\)-Laplace equations with singular weights. Zbl 1290.35130
Perera, Kanishka; Sim, Inbo
4
2014
On a class of elliptic free boundary problems with multiple solutions. Zbl 1465.35419
Perera, Kanishka
4
2021
Existence and nondegeneracy of ground states in critical free boundary problems. Zbl 1411.35291
Yang, Yang; Perera, Kanishka
4
2019
Multiplicity results for \(p\)-biharmonic problems via Morse theory. Zbl 1192.35042
Liu, Shibo; Medeiros, Everaldo; Perera, Kanishka
4
2009
Sandwich pairs for \(p\)-Laplacian systems. Zbl 1165.49005
Perera, Kanishka; Schechter, Martin
4
2009
Computation of critical groups in Fučík resonance problems. Zbl 1283.35041
Perera, Kanishka; Schechter, Martin
4
2003
An abstract critical point theorem with applications to elliptic problems with combined nonlinearities. Zbl 1479.58012
Perera, Kanishka
4
2021
A priori estimates for the fractional \(p\)-Laplacian with nonlocal Neumann boundary conditions and applications. Zbl 1481.35384
Mugnai, Dimitri; Perera, Kanishka; Lippi, Edoardo Proietti
4
2022
An existence theory for superposition operators of mixed order subject to jumping nonlinearities. Zbl 1542.35414
Dipierro, Serena; Perera, Kanishka; Sportelli, Caterina; Valdinoci, Enrico
4
2024
A multiplicity result for the scalar field equation. Zbl 1303.35029
Perera, Kanishka
3
2014
Positive solutions of higher-order singular problems. Zbl 1095.34518
Agarwal, R. P.; Perera, K.; O’Regan, D.
3
2005
Morse index estimates in saddle point theorems without a finite-dimensional closed loop. Zbl 0933.37065
Perera, Kanishka; Schechter, Martin
3
1998
An existence result for a class of quasilinear elliptic boundary value problems with jumping nonlinearities. Zbl 1200.35075
Perera, Kanishka
3
2002
\(p\)-Laplacian problems with critical Sobolev exponents. Zbl 1387.35254
Perera, Kanishka; Silva, Elves A. B.
3
2007
Ground state and least positive energy solutions of elliptic problems involving mixed fractional \(p\)-Laplacians. Zbl 1499.35647
Hajaiej, Hichem; Perera, Kanishka
3
2022
On the Brezis-Nirenberg problem for the \((p, q)\)-Laplacian. Zbl 1518.35403
Ho, Ky; Perera, Kanishka; Sim, Inbo
3
2023
Positive solutions of semipositone elliptic problems with critical Trudinger-Moser nonlinearities. Zbl 1437.35410
Perera, Kanishka; Sim, Inbo
2
2020
A nodal solution of the scalar field equation at the second minimax level. Zbl 1317.35167
Perera, Kanishka; Tintarev, Cyril
2
2014
Nontrivial solutions of \(p\)-superlinear anisotropic \(p\)-Laplacian systems via Morse theory. Zbl 1203.35121
Perera, Kanishka; Agarwal, Ravi P.; O’Regan, Donal
2
2010
Flows and critical points. Zbl 1180.35260
Perera, Kanishka; Schechter, Martin
2
2008
Multiple nontrivial solutions of Neumann \(p\)-Laplacian systems. Zbl 1183.35119
Motreanu, Dumitru; Perera, Kanishka
2
2009
One-sided resonance for quasilinear problems with asymmetric nonlinearities. Zbl 1192.35055
Perera, Kanishka
2
2002
Critical groups in saddle point theorems without a finite dimensional closed loop. Zbl 1157.58303
Perera, Kanishka; Schechter, Martin
2
2002
On the role played by the Fučík spectrum in the determination of critical groups in elliptic problems where the asymptotic limits may not exist. Zbl 1012.35021
Li, Shujie; Perera, Kanishka; Su, Jiabao
2
2002
Ground and bound state solutions for a Schrödinger system with linear and nonlinear couplings in \(\mathbb{R}^N\). Zbl 1392.35291
Perera, Kanishka; Tintarev, Cyril; Wang, Jun; Zhang, Zhitao
2
2018
Multiple positive solutions of singular \(p\)-Laplacian problems via variational methods. Zbl 1149.35043
Perera, Kanishka; Silva, Elves A. B.
2
2006
Sandwich pairs in \(p\)-Laplacian problems. Zbl 1153.35041
Perera, Kanishka; Schechter, Martin
2
2007
Nontrivial solutions of some quasilinear problems via a cohomological local splitting. Zbl 1196.35106
Candela, A. M.; Palmieri, G.; Perera, K.
2
2010
Existence and nonexistence results for a class of quasilinear elliptic systems. Zbl 1156.35352
El Manouni, Said; Perera, Kanishka
2
2007
New linking theorems with applications to critical growth elliptic problems with jumping nonlinearities. Zbl 1506.58006
Perera, Kanishka; Sportelli, Caterina
2
2023
Pairs of nontrivial solutions to concave-linear-convex type elliptic problems. Zbl 1480.35255
Candito, Pasquale; Marano, Salvatore A.; Perera, Kanishka
2
2021
An existence theory for superposition operators of mixed order subject to jumping nonlinearities. Zbl 1542.35414
Dipierro, Serena; Perera, Kanishka; Sportelli, Caterina; Valdinoci, Enrico
4
2024
Nonlocal critical growth elliptic problems with jumping nonlinearities. Zbl 07809644
Molica Bisci, Giovanni; Perera, Kanishka; Servadei, Raffaella; Sportelli, Caterina
1
2024
Multiple solutions for \((p, q)\)-Laplacian equations in \(\mathbb{R}^N\) with critical or subcritical exponents. Zbl 1547.35392
Liu, Shibo; Perera, Kanishka
1
2024
A multiplicity result for critical elliptic problems involving differences of local and nonlocal operators. Zbl 07922262
Perera, Kanishka; Sportelli, Caterina
1
2024
On the Brezis-Nirenberg problem for the \((p, q)\)-Laplacian. Zbl 1518.35403
Ho, Ky; Perera, Kanishka; Sim, Inbo
3
2023
New linking theorems with applications to critical growth elliptic problems with jumping nonlinearities. Zbl 1506.58006
Perera, Kanishka; Sportelli, Caterina
2
2023
A system of equations involving the fractional \(p\)-Laplacian and doubly critical nonlinearities. Zbl 1526.35283
Bhakta, Mousomi; Perera, Kanishka; Sk, Firoj
1
2023
A priori estimates for the fractional \(p\)-Laplacian with nonlocal Neumann boundary conditions and applications. Zbl 1481.35384
Mugnai, Dimitri; Perera, Kanishka; Lippi, Edoardo Proietti
4
2022
Ground state and least positive energy solutions of elliptic problems involving mixed fractional \(p\)-Laplacians. Zbl 1499.35647
Hajaiej, Hichem; Perera, Kanishka
3
2022
On the compactness threshold in the critical Kirchhoff equation. Zbl 1481.35209
Hasani, Erisa; Perera, Kanishka
1
2022
On a class of critical \(N\)-Laplacian problems. Zbl 1497.35277
Ho, Tsz Chung; Perera, Kanishka
1
2022
On a class of elliptic free boundary problems with multiple solutions. Zbl 1465.35419
Perera, Kanishka
4
2021
An abstract critical point theorem with applications to elliptic problems with combined nonlinearities. Zbl 1479.58012
Perera, Kanishka
4
2021
Pairs of nontrivial solutions to concave-linear-convex type elliptic problems. Zbl 1480.35255
Candito, Pasquale; Marano, Salvatore A.; Perera, Kanishka
2
2021
On critical elliptic problems with singular Trudinger-Moser nonlinearities. Zbl 1464.35121
Fu, Shiqiu; Perera, Kanishka
1
2021
On a class of semipositone problems with singular Trudinger-Moser nonlinearities. Zbl 1480.35110
Fu, Shiqiu; Perera, Kanishka
1
2021
On the existence of ground state solutions to critical growth problems nonresonant at zero. Zbl 1487.35213
Perera, Kanishka
1
2021
A class of semipositone \(p\)-Laplacian problems with a critical growth reaction term. Zbl 1421.35178
Perera, Kanishka; Shivaji, Ratnasingham; Sim, Inbo
12
2020
Two solutions for a parametric singular \(p\)-Laplacian problem. Zbl 1473.35309
Candito, Pasquale; Guarnotta, Umberto; Perera, Kanishka
6
2020
Positive solutions of semipositone elliptic problems with critical Trudinger-Moser nonlinearities. Zbl 1437.35410
Perera, Kanishka; Sim, Inbo
2
2020
Existence and nondegeneracy of ground states in critical free boundary problems. Zbl 1411.35291
Yang, Yang; Perera, Kanishka
4
2019
Existence results for double-phase problems via Morse theory. Zbl 1379.35152
Perera, Kanishka; Squassina, Marco
87
2018
Bifurcation results for problems with fractional Trudinger-Moser nonlinearity. Zbl 1374.35185
Perera, Kanishka; Squassina, Marco
24
2018
\(p\)-Laplacian problems involving critical Hardy-Sobolev exponents. Zbl 1401.35109
Perera, Kanishka; Zou, Wenming
12
2018
Higher critical points in an elliptic free boundary problem. Zbl 1391.35429
Jerison, David; Perera, Kanishka
10
2018
Ground and bound state solutions for a Schrödinger system with linear and nonlinear couplings in \(\mathbb{R}^N\). Zbl 1392.35291
Perera, Kanishka; Tintarev, Cyril; Wang, Jun; Zhang, Zhitao
2
2018
Asymmetric critical \(p\)-Laplacian problems. Zbl 1401.35137
Perera, Kanishka; Yang, Yang; Zhang, Zhitao
1
2018
A note on fractional \(p\)-Laplacian problems with singular weights. Zbl 1366.35105
Ho, Ky; Perera, Kanishka; Sim, Inbo; Squassina, Marco
14
2017
Multiplicity results for critical \(p\)-Laplacian problems. Zbl 1376.35079
Barletta, Giuseppina; Candito, Pasquale; Marano, Salvatore A.; Perera, Kanishka
6
2017
On critical \(p\)-Laplacian systems. Zbl 1372.35034
Guo, Zhenyu; Perera, Kanishka; Zou, Wenming
4
2017
Existence results for fractional \(p\)-Laplacian problems via Morse theory. Zbl 1515.35318
Iannizzotto, Antonio; Liu, Shibo; Perera, Kanishka; Squassina, Marco
164
2016
The Brezis-Nirenberg problem for the fractional \(p\)-Laplacian. Zbl 1361.35198
Mosconi, Sunra; Perera, Kanishka; Squassina, Marco; Yang, Yang
102
2016
Bifurcation and multiplicity results for critical fractional \(p\)-Laplacian problems. Zbl 1336.35050
Perera, Kanishka; Squassina, Marco; Yang, Yang
70
2016
\(N\)-Laplacian problems with critical Trudinger-Moser nonlinearities. Zbl 1359.35083
Yang, Yang; Perera, Kanishka
17
2016
Critical fractional \(p\)-Laplacian problems with possibly vanishing potentials. Zbl 1403.35319
Perera, Kanishka; Squassina, Marco; Yang, Yang
17
2016
Bifurcation and multiplicity results for critical \(p\)-Laplacian problems. Zbl 1379.35153
Perera, Kanishka; Squassina; Yang, Yang
13
2016
\((N,q)\)-Laplacian problems with critical Trudinger-Moser nonlinearities. Zbl 1337.35063
Yang, Yang; Perera, Kanishka
12
2016
On a class of critical \((p,q)\)-Laplacian problems. Zbl 1328.35053
Candito, Pasquale; Marano, Salvatore A.; Perera, Kanishka
35
2015
A note on the Dancer-Fučík spectra of the fractional \(p\)-Laplacian and Laplacian operators. Zbl 1432.35228
Perera, Kanishka; Squassina, Marco; Yang, Yang
23
2015
Multiple solutions for \(p\)-Laplacian type problems with asymptotically \(p\)-linear terms via a cohomological index theory. Zbl 1317.35056
Candela, A. M.; Palmieri, G.; Perera, K.
5
2015
On the second minimax level of the scalar field equation and symmetry breaking. Zbl 1323.35124
Perera, Kanishka; Tintarev, Cyril
1
2015
Ground states for scalar field equations with anisotropic nonlocal nonlinearities. Zbl 1335.35034
Iannizzotto, Antonio; Perera, Kanishka; Squassina, Marco
1
2015
Some results for impulsive problems via Morse theory. Zbl 1306.34042
Agarwal, Ravi P.; Bhaskar, T. Gnana; Perera, Kanishka
14
2014
An existence result for a class of quasilinear elliptic eigenvalue problems in unbounded domains. Zbl 1296.35108
Perera, Kanishka; Pucci, Patrizia; Varga, Csaba
11
2014
Asymptotic behavior of the eigenvalues of the \(p(x)\)-Laplacian. Zbl 1325.35127
Perera, Kanishka; Squassina, Marco
6
2014
\(p\)-Laplace equations with singular weights. Zbl 1290.35130
Perera, Kanishka; Sim, Inbo
4
2014
A multiplicity result for the scalar field equation. Zbl 1303.35029
Perera, Kanishka
3
2014
A nodal solution of the scalar field equation at the second minimax level. Zbl 1317.35167
Perera, Kanishka; Tintarev, Cyril
2
2014
Topics in critical point theory. Zbl 1273.58003
Perera, Kanishka; Schechter, Martin
15
2013
On some elliptic interface problems with nonhomogeneous jump conditions. Zbl 1274.35144
Bhaskar, T. Gnana; Perera, Kanishka
1
2013
On singular quasi-monotone \((p, q)\)-Laplacian systems. Zbl 1252.35144
El Manouni, Said; Perera, Kanishka; Shivaji, Ratnasingham
12
2012
On some nonlocal eigenvalue problems. Zbl 1263.47074
Agarwal, Ravi P.; Perera, Kanishka; Zhang, Zhitao
5
2012
Generalized solutions of singular \(p\)-Laplacian problems in \(\mathbb R^N\). Zbl 1217.35083
Carl, Siegfried; Perera, Kanishka
8
2011
An introduction to complex analysis. Zbl 1230.30001
Agarwal, Ravi P.; Perera, Kanishka; Pinelas, Sandra
6
2011
Morse theoretic aspects of \(p\)-Laplacian type operators. Zbl 1192.58007
Perera, Kanishka; Agarwal, Ravi P.; O’Regan, Donal
104
2010
Nontrivial solutions of \(p\)-superlinear \(p\)-Laplacian problems via a cohomological local splitting. Zbl 1192.58006
Degiovanni, Marco; Lancelotti, Sergio; Perera, Kanishka
10
2010
Weak solutions of quasilinear elliptic systems via the cohomological index. Zbl 1217.35061
Candela, Anna Maria; Medeiros, Everaldo; Palmieri, Giuliana; Perera, Kaniskha
7
2010
Multiple positive solutions of singular elliptic problems. Zbl 1240.35202
Perera, Kanishka; Silva, Elves A. B.
5
2010
Nontrivial solutions of \(p\)-superlinear anisotropic \(p\)-Laplacian systems via Morse theory. Zbl 1203.35121
Perera, Kanishka; Agarwal, Ravi P.; O’Regan, Donal
2
2010
Nontrivial solutions of some quasilinear problems via a cohomological local splitting. Zbl 1196.35106
Candela, A. M.; Palmieri, G.; Perera, K.
2
2010
Multiplicity of solutions for a quasilinear elliptic problem via the cohomological index. Zbl 1173.35480
Medeiros, Everaldo; Perera, Kanishka
29
2009
Multiplicity results for \(p\)-biharmonic problems via Morse theory. Zbl 1192.35042
Liu, Shibo; Medeiros, Everaldo; Perera, Kanishka
4
2009
Sandwich pairs for \(p\)-Laplacian systems. Zbl 1165.49005
Perera, Kanishka; Schechter, Martin
4
2009
Multiple nontrivial solutions of Neumann \(p\)-Laplacian systems. Zbl 1183.35119
Motreanu, Dumitru; Perera, Kanishka
2
2009
Multiple positive solutions in the sense of distributions of singular BVPs on time scales and an application to Emden-Fowler equations. Zbl 1153.39006
Agarwal, Ravi P.; Otero-Espinar, Victoria; Perera, Kanishka; Vivero, Dolores R.
11
2008
Wirtinger’s inequalities on time scales. Zbl 1148.26020
Agarwal, Ravi P.; Otero-Espinar, Victoria; Perera, Kanishka; Vivero, Dolores R.
8
2008
Positive solutions of multiparameter semipositone \(p\)-Laplacian problems. Zbl 1135.35340
Perera, Kanishka; Shivaji, Ratnasingham
7
2008
Flows and critical points. Zbl 1180.35260
Perera, Kanishka; Schechter, Martin
2
2008
Positive solutions in the sense of distributions of singular boundary value problems. Zbl 1134.34011
Agarwal, Ravi P.; Perera, Kanishka; O’Regan, Donal
1
2008
Multiple positive solutions of singular Dirichlet problems on time scales via variational methods. Zbl 1129.34015
Agarwal, Ravi P.; Otero-Espinar, Victoria; Perera, Kanishka; Vivero, Dolores R.
27
2007
On singular \(p\)-Laplacian problems. Zbl 1212.34048
Perera, Kanishka; Silva, Elves A. B.
21
2007
Existence of multiple positive solutions for second order nonlinear dynamic BVPs by variational methods. Zbl 1126.34018
Agarwal, Ravi P.; Otero-Espinar, Victoria; Perera, Kanishka; Vivero, Dolores R.
14
2007
Nonlinear integral equations singular in the dependent variable. Zbl 1138.45004
O’Regan, Donal; Agarwal, Ravi P.; Perera, Kanishka
9
2007
\(p\)-Laplacian problems with critical Sobolev exponents. Zbl 1387.35254
Perera, Kanishka; Silva, Elves A. B.
3
2007
Sandwich pairs in \(p\)-Laplacian problems. Zbl 1153.35041
Perera, Kanishka; Schechter, Martin
2
2007
Existence and nonexistence results for a class of quasilinear elliptic systems. Zbl 1156.35352
El Manouni, Said; Perera, Kanishka
2
2007
Nontrivial solutions of Kirchhoff-type problems via the Yang index. Zbl 1357.35131
Perera, Kanishka; Zhang, Zhitao
409
2006
Sign changing solutions of Kirchhoff type problems via invariant sets of descent flow. Zbl 1100.35008
Zhang, Zhitao; Perera, Kanishka
320
2006
Basic properties of Sobolev’s spaces on time scales. Zbl 1139.39022
Agarwal, Ravi P.; Otero-Espinar, Victoria; Perera, Kanishka; Vivero, Dolores R.
50
2006
Existence and multiplicity of positive solutions for singular quasilinear problems. Zbl 1168.35358
Perera, Kanishka; Silva, Elves A. B.
41
2006
Multiple positive solutions of singular problems by variational methods. Zbl 1094.34013
Agarwal, Ravi P.; Perera, Kanishka; O’Regan, Donal
20
2006
A variational approach to singular quasilinear elliptic problems with sign changing nonlinearities. Zbl 1170.35041
Agarwal, Ravi P.; Perera, Kanishka; O’Regan, Donal
15
2006
Multiple positive solutions of singular \(p\)-Laplacian problems via variational methods. Zbl 1149.35043
Perera, Kanishka; Silva, Elves A. B.
2
2006
Multiple positive solutions of singular discrete \(p\)-Laplacian problems via variational methods. Zbl 1098.39001
Agarwal, Ravi P.; Perera, Kanishka; O’Regan, Donal
121
2005
Multiple positive solutions of singular \(p\)-Laplacian problems by variational methods. Zbl 1220.35082
Perera, Kanishka; Zhang, Zhitao
36
2005
\(p\)-Laplacian problems where the nonlinearity crosses an eigenvalue. Zbl 1094.35052
Perera, Kanishka; Szulkin, Andrzej
29
2005
Positive solutions of higher-order singular problems. Zbl 1095.34518
Agarwal, R. P.; Perera, K.; O’Regan, D.
3
2005
Multiple positive solutions of singular and nonsingular discrete problems via variational methods. Zbl 1070.39005
Agarwal, Ravi P.; Perera, Kanishka; O’Regan, Donal
138
2004
On the Fučík spectrum of the \(p\)-Laplacian. Zbl 1068.35086
Perera, Kanishka
19
2004
Nontrivial critical groups in \(p\)-Laplacian problems via the Yang index. Zbl 1039.47041
Perera, Kanishka
63
2003
Multiple positive solutions for a class of quasilinear elliptic boundary-value problems. Zbl 1019.35031
Perera, Kanishka
19
2003
Double resonance problems with respect to the Fučík spectrum. Zbl 1030.35079
Perera, Kanishka; Schechter, Martin
14
2003
Nontrivial solutions of \(p\)-superlinear \(p\)-Laplacian problems. Zbl 1039.35043
Perera, Kanishka
7
2003
Computation of critical groups in Fučík resonance problems. Zbl 1283.35041
Perera, Kanishka; Schechter, Martin
4
2003
Sign-changing and multiple solutions for the \(p\)-Laplacian. Zbl 1106.35308
Carl, Siegfried; Perera, Kanishka
37
2002
Resonance problems with respect to the Fučík spectrum of the \(p\)-Laplacian. Zbl 1068.35508
Perera, Kanishka
10
2002
An existence result for a class of quasilinear elliptic boundary value problems with jumping nonlinearities. Zbl 1200.35075
Perera, Kanishka
3
2002
One-sided resonance for quasilinear problems with asymmetric nonlinearities. Zbl 1192.35055
Perera, Kanishka
2
2002
Critical groups in saddle point theorems without a finite dimensional closed loop. Zbl 1157.58303
Perera, Kanishka; Schechter, Martin
2
2002
On the role played by the Fučík spectrum in the determination of critical groups in elliptic problems where the asymptotic limits may not exist. Zbl 1012.35021
Li, Shujie; Perera, Kanishka; Su, Jiabao
2
2002
...and 18 more Documents
all top 5

Cited by 1,555 Authors

91 Papageorgiou, Nikolaos S.
66 Perera, Kanishka
45 Winkert, Patrick
38 Rădulescu, Vicenţiu D.
33 Tang, Xianhua
31 Figueiredo, Giovany Malcher
31 Zhang, Binlin
30 Chen, Haibo
27 Tang, Chun-Lei
23 Gasiński, Leszek
23 Motreanu, Dumitru
23 Repovš, Dušan D.
23 Yang, Yang
21 Ge, Bin
21 Iannizzotto, Antonio
21 Molica Bisci, Giovanni
21 O’Regan, Donal
21 Squassina, Marco
21 Xiang, Mingqi
20 Zhang, Jihui
19 Candito, Pasquale
19 Shi, Haiping
18 Heidarkhani, Shapour
18 Su, Jiabao
18 Zeng, Shengda
18 Zhang, Zhitao
17 Candela, Anna Maria
17 Sun, Mingzheng
16 Tanaka, Mieko
15 Liang, Sihua
15 Miyagaki, Olimpio Hiroshi
14 Agarwal, Ravi P.
14 Cheng, Bitao
14 Fiscella, Alessio
14 Li, Shujie
14 Mosconi, Sunra J. N.
14 Santos, Carlos Alberto P.
14 Wu, Xian
13 Ambrosio, Vincenzo
13 Liao, Jiafeng
13 Liu, Shibo
13 Liu, Zhisu
13 Yan, Baoqiang
13 Zou, Wenming
12 Choudhuri, Debajyoti
12 Deng, Xiaoqing
12 Galewski, Marek
12 Mao, Anmin
12 Marano, Salvatore Angelo
12 Pucci, Patrizia
11 Afrouzi, Ghasem Alizadeh
11 Chen, Wenjing
11 Isernia, Teresa
11 Pei, Ruichang
11 Sun, Hongrui
10 Alves, Claudianor Oliveira
10 dos Santos, Gelson C. G.
10 He, Xiaoming
10 Lei, Chunyu
10 Li, Fuyi
10 Otero-Espinar, Maria Victoria
10 Salvatore, Addolorata
10 Sim, Inbo
10 Song, Yueqiang
10 Tersian, Stepan Agop
10 Zhang, Yuanbiao
9 Carl, Siegfried
9 Dai, Guowei
9 Faraci, Francesca
9 Ge, Weigao
9 He, Tieshan
9 Ho, Ky
9 Kim, Yunho
9 Liu, Xia
9 Livrea, Roberto
9 Moussaoui, Abdelkrim
9 Nguyen Thanh Chung
9 Ou, Zengqi
9 Sportelli, Caterina
9 Sun, Juntao
9 Vetro, Francesca
9 Zhou, Zhan
8 Bai, Yunru
8 Bobkov, Vladimir E.
8 Caristi, Giuseppe
8 Li, Anran
8 Ma, Ruyun
8 Schechter, Martin
8 Severo, Uberlandio Batista
8 Shi, Shaoyun
8 Souto de Medeiros, Everaldo
8 Tavares, Leandro S.
8 Tian, Yu
8 Wang, Li
8 Wu, Tsungfang
7 An, Tianqing
7 Bartolo, Rossella
7 Chen, Caisheng
7 Sobreira de Araujo Corrêa, Francisco Julio
7 Da Silva, Edcarlos Domingos
...and 1,455 more Authors
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Cited in 227 Serials

146 Journal of Mathematical Analysis and Applications
143 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
85 Boundary Value Problems
55 Advances in Difference Equations
54 Journal of Differential Equations
46 Applied Mathematics Letters
42 Mathematical Methods in the Applied Sciences
40 Complex Variables and Elliptic Equations
38 Calculus of Variations and Partial Differential Equations
37 Mediterranean Journal of Mathematics
34 Applied Mathematics and Computation
33 ZAMP. Zeitschrift für angewandte Mathematik und Physik
32 Advances in Nonlinear Analysis
30 Communications on Pure and Applied Analysis
29 Applicable Analysis
29 Journal of Mathematical Physics
27 Topological Methods in Nonlinear Analysis
25 Electronic Journal of Differential Equations (EJDE)
25 NoDEA. Nonlinear Differential Equations and Applications
24 Mathematische Nachrichten
24 Advanced Nonlinear Studies
23 Journal of Difference Equations and Applications
23 Communications in Contemporary Mathematics
23 Nonlinear Analysis. Real World Applications
21 Computers & Mathematics with Applications
20 Annali di Matematica Pura ed Applicata. Serie Quarta
18 Abstract and Applied Analysis
17 Discrete and Continuous Dynamical Systems. Series S
16 Discrete and Continuous Dynamical Systems
16 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
15 Journal of Functional Analysis
15 The Journal of Geometric Analysis
14 Acta Applicandae Mathematicae
14 Discrete Dynamics in Nature and Society
12 Qualitative Theory of Dynamical Systems
12 Journal of Applied Mathematics and Computing
12 Journal of Applied Analysis and Computation
12 Journal of Function Spaces
11 Journal of Fixed Point Theory and Applications
9 Rocky Mountain Journal of Mathematics
9 Acta Mathematica Scientia. Series B. (English Edition)
9 Analysis and Mathematical Physics
9 AIMS Mathematics
9 SN Partial Differential Equations and Applications
8 Applied Mathematics and Optimization
8 Monatshefte für Mathematik
8 Results in Mathematics
8 Zeitschrift für Analysis und ihre Anwendungen
8 Positivity
8 Fractional Calculus & Applied Analysis
8 Differential Equations and Applications
8 Journal of Elliptic and Parabolic Equations
7 Proceedings of the Edinburgh Mathematical Society. Series II
7 Opuscula Mathematica
7 Journal of Inequalities and Applications
7 Boletim da Sociedade Paranaense de Matemática. Terceira Série
7 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
7 Open Mathematics
6 Manuscripta Mathematica
6 Acta Mathematicae Applicatae Sinica. English Series
6 Asymptotic Analysis
6 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
6 Journal of Dynamical and Control Systems
5 Proceedings of the American Mathematical Society
5 Rendiconti del Circolo Matemàtico di Palermo. Serie II
5 Turkish Journal of Mathematics
5 Bulletin des Sciences Mathématiques
5 Nonlinear Analysis. Modelling and Control
5 Annales Fennici Mathematici
4 Indian Journal of Pure & Applied Mathematics
4 Bulletin of the London Mathematical Society
4 Glasgow Mathematical Journal
4 International Journal of Mathematics and Mathematical Sciences
4 Journal of the Korean Mathematical Society
4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
4 Mathematical and Computer Modelling
4 Communications in Partial Differential Equations
4 Computational and Applied Mathematics
4 Georgian Mathematical Journal
4 Filomat
4 Advances in Differential Equations
4 Arab Journal of Mathematical Sciences
4 Taiwanese Journal of Mathematics
4 Discrete and Continuous Dynamical Systems. Series B
4 Advances in Mathematical Physics
4 Set-Valued and Variational Analysis
4 Journal of Pseudo-Differential Operators and Applications
4 Bulletin of Mathematical Sciences
4 Communications in Analysis and Mechanics
3 Mathematical Notes
3 Demonstratio Mathematica
3 Journal of Computational and Applied Mathematics
3 Journal of Optimization Theory and Applications
3 Mathematische Annalen
3 Ricerche di Matematica
3 Bulletin of the Iranian Mathematical Society
3 Forum Mathematicum
3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
3 Mathematical Problems in Engineering
3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
...and 127 more Serials
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Cited in 36 Fields

1,461 Partial differential equations (35-XX)
250 Ordinary differential equations (34-XX)
236 Global analysis, analysis on manifolds (58-XX)
202 Difference and functional equations (39-XX)
200 Operator theory (47-XX)
73 Calculus of variations and optimal control; optimization (49-XX)
42 Dynamical systems and ergodic theory (37-XX)
42 Functional analysis (46-XX)
39 Integral equations (45-XX)
34 Real functions (26-XX)
26 Numerical analysis (65-XX)
11 Mechanics of deformable solids (74-XX)
9 Systems theory; control (93-XX)
7 Potential theory (31-XX)
6 Differential geometry (53-XX)
6 Quantum theory (81-XX)
4 Approximations and expansions (41-XX)
4 Mechanics of particles and systems (70-XX)
3 Functions of a complex variable (30-XX)
3 Algebraic topology (55-XX)
3 Probability theory and stochastic processes (60-XX)
3 Fluid mechanics (76-XX)
3 Operations research, mathematical programming (90-XX)
3 Biology and other natural sciences (92-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Information and communication theory, circuits (94-XX)
1 Mathematical logic and foundations (03-XX)
1 Combinatorics (05-XX)
1 Measure and integration (28-XX)
1 Abstract harmonic analysis (43-XX)
1 General topology (54-XX)
1 Manifolds and cell complexes (57-XX)
1 Optics, electromagnetic theory (78-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Statistical mechanics, structure of matter (82-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

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