# zbMATH — the first resource for mathematics

## Perera, Kanishka

Compute Distance To:
 Author ID: perera.kanishka Published as: Perera, K.; Perera, Kanishka; Perera, Kaniskha External Links: ORCID
 Documents Indexed: 112 Publications since 1997, including 4 Books
all top 5

#### Co-Authors

 17 single-authored 19 Agarwal, Ravi P. 17 Schechter, Martin 12 Squassina, Marco 11 O’Regan, Donal 9 Yang, Yang 6 Zhang, Zhitao 5 Otero-Espinar, Victoria 5 Silva, Elves A. B. 5 Vivero, Dolores R. 4 Medeiros, Everaldo S. 4 Sim, Inbo 4 Tintarev, Kyril 3 Candela, Anna Maria 3 El Manouni, Said 3 Li, Shujie 3 Palmieri, Giuliana 3 Shivaji, Ratnasingham 2 Bhaskar, Tenali Gnana 2 Candito, Pasquale 2 Carl, Siegfried 2 Iannizzotto, Antonio 2 Liu, Shibo 2 Marano, Salvatore Angelo 2 Su, Jiabao 2 Zou, Wenming 1 Barletta, Giuseppina 1 Dancer, Edward Norman 1 Degiovanni, Marco 1 Guo, Zhenyu V. 1 Ho, Ky 1 Jerison, David S. 1 Lancelotti, Sergio 1 Mosconi, Sunra J. N. 1 Motreanu, Dumitru 1 Nieto Roig, Juan Jose 1 Otero-Espinar, Maria Victoria 1 Pinelas, Sandra 1 Pucci, Patrizia 1 Szulkin, Andrzej 1 Varga, Csaba György 1 Wang, Jun
all top 5

#### Serials

 13 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 10 Topological Methods in Nonlinear Analysis 9 Journal of Mathematical Analysis and Applications 7 NoDEA. Nonlinear Differential Equations and Applications 6 Abstract and Applied Analysis 4 Journal of Differential Equations 4 Advances in Nonlinear Analysis 3 Proceedings of the American Mathematical Society 3 Calculus of Variations and Partial Differential Equations 3 Electronic Journal of Differential Equations (EJDE) 3 Advances in Difference Equations 2 Applicable Analysis 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Bulletin of the London Mathematical Society 2 Indiana University Mathematics Journal 2 Manuscripta Mathematica 2 Mathematische Nachrichten 2 Differential and Integral Equations 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Discrete and Continuous Dynamical Systems 2 Communications in Contemporary Mathematics 2 Boundary Value Problems 2 Complex Variables and Elliptic Equations 2 Discrete and Continuous Dynamical Systems. Series S 1 Canadian Mathematical Bulletin 1 Applied Mathematics Letters 1 The Journal of Geometric Analysis 1 Advances in Differential Equations 1 Nonlinear Studies 1 Communications in Applied Analysis 1 Differential Equations 1 Advanced Nonlinear Studies 1 Communications on Pure and Applied Analysis 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
all top 5

#### Fields

 90 Partial differential equations (35-XX) 43 Global analysis, analysis on manifolds (58-XX) 22 Operator theory (47-XX) 13 Ordinary differential equations (34-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 7 Difference and functional equations (39-XX) 3 Functional analysis (46-XX) 2 General and overarching topics; collections (00-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Integral equations (45-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX)

#### Citations contained in zbMATH

94 Publications have been cited 1,614 times in 1,097 Documents Cited by Year
Nontrivial solutions of Kirchhoff-type problems via the Yang index. Zbl 1357.35131
Perera, Kanishka; Zhang, Zhitao
2006
Sign changing solutions of Kirchhoff type problems via invariant sets of descent flow. Zbl 1100.35008
Zhang, Zhitao; Perera, Kanishka
2006
Multiple positive solutions of singular and nonsingular discrete problems via variational methods. Zbl 1070.39005
Agarwal, Ravi P.; Perera, Kanishka; O’Regan, Donal
2004
Multiple positive solutions of singular discrete $$p$$-Laplacian problems via variational methods. Zbl 1098.39001
Agarwal, Ravi P.; Perera, Kanishka; O’Regan, Donal
2005
Existence results for fractional $$p$$-Laplacian problems via Morse theory. Zbl 06567151
Iannizzotto, Antonio; Liu, Shibo; Perera, Kanishka; Squassina, Marco
2016
Morse theoretic aspects of $$p$$-Laplacian type operators. Zbl 1192.58007
Perera, Kanishka; Agarwal, Ravi P.; O’Regan, Donal
2010
Nontrivial critical groups in $$p$$-Laplacian problems via the Yang index. Zbl 1039.47041
Perera, Kanishka
2003
Basic properties of Sobolev’s spaces on time scales. Zbl 1139.39022
Agarwal, Ravi P.; Otero-Espinar, Victoria; Perera, Kanishka; Vivero, Dolores R.
2006
The Brezis-Nirenberg problem for the fractional $$p$$-Laplacian. Zbl 1361.35198
Mosconi, Sunra; Perera, Kanishka; Squassina, Marco; Yang, Yang
2016
Sign-changing and multiple solutions for the $$p$$-Laplacian. Zbl 1106.35308
Carl, Siegfried; Perera, Kanishka
2002
Some remarks on the Fučík spectrum of the $$p$$-Laplacian and critical groups. Zbl 0970.35056
Dancer, Norman; Perera, Kanishka
2001
Multiplicity results for some elliptic problems with concave nonlinearities. Zbl 0889.35036
Perera, Kanishka
1997
Bifurcation and multiplicity results for critical fractional $$p$$-Laplacian problems. Zbl 1336.35050
Perera, Kanishka; Squassina, Marco; Yang, Yang
2016
Multiple positive solutions of singular $$p$$-Laplacian problems by variational methods. Zbl 1220.35082
Perera, Kanishka; Zhang, Zhitao
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.
2007
$$p$$-Laplacian problems where the nonlinearity crosses an eigenvalue. Zbl 1094.35052
Perera, Kanishka; Szulkin, Andrzej
2005
Existence and multiplicity of positive solutions for singular quasilinear problems. Zbl 1168.35358
Perera, Kanishka; Silva, Elves A. B.
2006
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
2001
Multiplicity of solutions for a quasilinear elliptic problem via the cohomological index. Zbl 1173.35480
Medeiros, Everaldo; Perera, Kanishka
2009
Multiple positive solutions of singular problems by variational methods. Zbl 1094.34013
Agarwal, Ravi P.; Perera, Kanishka; O’Regan, Donal
2006
On the Fučík spectrum of the $$p$$-Laplacian. Zbl 1068.35086
Perera, Kanishka
2004
A note on the Dancer-Fučík spectra of the fractional $$p$$-Laplacian and Laplacian operators. Zbl 1432.35228
Perera, Kanishka; Squassina, Marco; Yang, Yang
2015
Double resonance problems with respect to the Fučík spectrum. Zbl 1030.35079
Perera, Kanishka; Schechter, Martin
2003
Multiple positive solutions for a class of quasilinear elliptic boundary-value problems. Zbl 1019.35031
Perera, Kanishka
2003
Type II regions between curves of the Fučik spectrum and critical groups. Zbl 0940.35094
Perera, Kanishka; Schechter, Martin
1998
On a class of critical $$(p,q)$$-Laplacian problems. Zbl 1328.35053
Candito, Pasquale; Marano, Salvatore A.; Perera, Kanishka
2015
The Fučik spectrum and critical groups. Zbl 0964.35054
Perera, Kanishka; Schechter, Martin
2001
Critical fractional $$p$$-Laplacian problems with possibly vanishing potentials. Zbl 1403.35319
Perera, Kanishka; Squassina, Marco; Yang, Yang
2016
Solution of nonlinear equations having asymptotic limits at zero and infinity. Zbl 1102.35325
Perera, Kanishka; Schechter, Martin
2001
Some results for impulsive problems via Morse theory. Zbl 1306.34042
Agarwal, Ravi P.; Bhaskar, T. Gnana; Perera, Kanishka
2014
On singular $$p$$-Laplacian problems. Zbl 1212.34048
Perera, Kanishka; Silva, Elves A. B.
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.
2007
Existence and multiplicity results for a Sturm-Liouville equation asymptotically linear at $$-\infty$$ and superlinear at $$+\infty$$. Zbl 0942.34021
Perera, Kanishka
2000
Existence results for double-phase problems via Morse theory. Zbl 1379.35152
Perera, Kanishka; Squassina, Marco
2018
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.
2008
Perera, Kanishka
1998
Critical groups of critical points produced by local linking with applications. Zbl 0972.58008
Perera, Kanishka
1998
Critical groups of pairs of critical points produced by linking subsets. Zbl 0889.58025
Perera, Kanishka
1997
Bifurcation and multiplicity results for critical $$p$$-Laplacian problems. Zbl 1379.35153
Perera, Kanishka; Squassina; Yang, Yang
2016
Wirtinger’s inequalities on time scales. Zbl 1148.26020
Agarwal, Ravi P.; Otero-Espinar, Victoria; Perera, Kanishka; Vivero, Dolores R.
2008
A variational approach to singular quasilinear elliptic problems with sign changing nonlinearities. Zbl 1170.35041
Agarwal, Ravi P.; Perera, Kanishka; O’Regan, Donal
2006
Resonance problems with respect to the Fučík spectrum of the $$p$$-Laplacian. Zbl 1068.35508
Perera, Kanishka
2002
$$N$$-Laplacian problems with critical Trudinger-Moser nonlinearities. Zbl 1359.35083
Yang, Yang; Perera, Kanishka
2016
Nontrivial solutions of $$p$$-superlinear $$p$$-Laplacian problems via a cohomological local splitting. Zbl 1192.58006
Degiovanni, Marco; Lancelotti, Sergio; Perera, Kanishka
2010
Nonlinear integral equations singular in the dependent variable. Zbl 1138.45004
O’Regan, Donal; Agarwal, Ravi P.; Perera, Kanishka
2007
A generalization of the Amann-Zehnder theorem to nonresonance problems with jumping nonlinearities. Zbl 0964.35052
Perera, Kanishka; Schechter, Martin
2000
An existence result for a class of quasilinear elliptic eigenvalue problems in unbounded domains. Zbl 1296.35108
Perera, Kanishka; Pucci, Patrizia; Varga, Csaba
2014
Topics in critical point theory. Zbl 1273.58003
Perera, Kanishka; Schechter, Martin
2013
On singular quasi-monotone $$(p, q)$$-Laplacian systems. Zbl 1252.35144
El Manouni, Said; Perera, Kanishka; Shivaji, Ratnasingham
2012
Nontrivial solutions of $$p$$-superlinear $$p$$-Laplacian problems. Zbl 1039.35043
Perera, Kanishka
2003
Computation of critical groups in resonance problems where the nonlinearity may not be sublinear. Zbl 1088.58005
Li, Shujie; Perera, Kanishka
2001
Bifurcation results for problems with fractional Trudinger-Moser nonlinearity. Zbl 1374.35185
Perera, Kanishka; Squassina, Marco
2018
Asymptotic behavior of the eigenvalues of the $$p(x)$$-Laplacian. Zbl 1325.35127
Perera, Kanishka; Squassina, Marco
2014
Nontrivial solutions of elliptic semilinear equations at resonance. Zbl 0958.35051
Perera, Kanishka; Schechter, Martin
2000
$$(N,q)$$-Laplacian problems with critical Trudinger-Moser nonlinearities. Zbl 1337.35063
Yang, Yang; Perera, Kanishka
2016
$$p$$-Laplace equations with singular weights. Zbl 1290.35130
Perera, Kanishka; Sim, Inbo
2014
On some nonlocal eigenvalue problems. Zbl 1263.47074
Agarwal, Ravi P.; Perera, Kanishka; Zhang, Zhitao
2012
Computation of critical groups in Fučík resonance problems. Zbl 1283.35041
Perera, Kanishka; Schechter, Martin
2003
$$p$$-Laplacian problems involving critical Hardy-Sobolev exponents. Zbl 1401.35109
Perera, Kanishka; Zou, Wenming
2018
Higher critical points in an elliptic free boundary problem. Zbl 1391.35429
Jerison, David; Perera, Kanishka
2018
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.
2015
An introduction to complex analysis. Zbl 1230.30001
Agarwal, Ravi P.; Perera, Kanishka; Pinelas, Sandra
2011
Generalized solutions of singular $$p$$-Laplacian problems in $$\mathbb R^N$$. Zbl 1217.35083
Carl, Siegfried; Perera, Kanishka
2011
Multiple positive solutions of singular elliptic problems. Zbl 1240.35202
Perera, Kanishka; Silva, Elves A. B.
2010
Multiplicity results for $$p$$-biharmonic problems via Morse theory. Zbl 1192.35042
Liu, Shibo; Medeiros, Everaldo; Perera, Kanishka
2009
Sandwich pairs for $$p$$-Laplacian systems. Zbl 1165.49005
Perera, Kanishka; Schechter, Martin
2009
Positive solutions of multiparameter semipositone $$p$$-Laplacian problems. Zbl 1135.35340
Perera, Kanishka; Shivaji, Ratnasingham
2008
Positive solutions of higher-order singular problems. Zbl 1095.34518
Agarwal, R. P.; Perera, K.; O’Regan, D.
2005
An existence result for a class of quasilinear elliptic boundary value problems with jumping nonlinearities. Zbl 1200.35075
Perera, Kanishka
2002
Morse index estimates in saddle point theorems without a finite-dimensional closed loop. Zbl 0933.37065
Perera, Kanishka; Schechter, Martin
1998
A class of semipositone $$p$$-Laplacian problems with a critical growth reaction term. Zbl 1421.35178
Perera, Kanishka; Shivaji, Ratnasingham; Sim, Inbo
2020
A note on fractional $$p$$-Laplacian problems with singular weights. Zbl 1366.35105
Ho, Ky; Perera, Kanishka; Sim, Inbo; Squassina, Marco
2017
A nodal solution of the scalar field equation at the second minimax level. Zbl 1317.35167
Perera, Kanishka; Tintarev, Cyril
2014
A multiplicity result for the scalar field equation. Zbl 1303.35029
Perera, Kanishka
2014
Weak solutions of quasilinear elliptic systems via the cohomological index. Zbl 1217.35061
Candela, Anna Maria; Medeiros, Everaldo; Palmieri, Giuliana; Perera, Kaniskha
2010
Nontrivial solutions of some quasilinear problems via a cohomological local splitting. Zbl 1196.35106
Candela, A. M.; Palmieri, G.; Perera, K.
2010
Flows and critical points. Zbl 1180.35260
Perera, Kanishka; Schechter, Martin
2008
Sandwich pairs in $$p$$-Laplacian problems. Zbl 1153.35041
Perera, Kanishka; Schechter, Martin
2007
$$p$$-Laplacian problems with critical Sobolev exponents. Zbl 1387.35254
Perera, Kanishka; Silva, Elves A. B.
2007
One-sided resonance for quasilinear problems with asymmetric nonlinearities. Zbl 1192.35055
Perera, Kanishka
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
2002
Existence and nondegeneracy of ground states in critical free boundary problems. Zbl 1411.35291
Yang, Yang; Perera, Kanishka
2019
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
2018
On critical $$p$$-Laplacian systems. Zbl 1372.35034
Guo, Zhenyu; Perera, Kanishka; Zou, Wenming
2017
Multiplicity results for critical $$p$$-Laplacian problems. Zbl 1376.35079
Barletta, Giuseppina; Candito, Pasquale; Marano, Salvatore A.; Perera, Kanishka
2017
On the second minimax level of the scalar field equation and symmetry breaking. Zbl 1323.35124
Perera, Kanishka; Tintarev, Cyril
2015
On some elliptic interface problems with nonhomogeneous jump conditions. Zbl 1274.35144
2013
An inequality concerning the kernel $$\sum_{t=1}^{n}{e}^{i(ut+vt^{2})}$$. Zbl 1312.26045
Perera, K.
2012
Multiple nontrivial solutions of Neumann $$p$$-Laplacian systems. Zbl 1183.35119
Motreanu, Dumitru; Perera, Kanishka
2009
Positive solutions in the sense of distributions of singular boundary value problems. Zbl 1134.34011
Agarwal, Ravi P.; Perera, Kanishka; O’Regan, Donal
2008
Applications of Morse theory to the solution of semilinear problems depending on $$C^1$$ functionals. Zbl 1194.35187
Perera, Kanishka; Schechter, Martin
2001
Multiple nontrivial solutions of elliptic semilinear equations. Zbl 0974.35037
Perera, Kanishka; Schechter, Martin
2000
Semilinear elliptic equations having asymptotic limits at zero and infinity. Zbl 0987.35057
Perera, Kanishka; Schechter, Martin
1999
Applications of local linking to asymptotically linear elliptic problems at resonance. Zbl 0926.35040
Perera, Kanishka
1999
A class of semipositone $$p$$-Laplacian problems with a critical growth reaction term. Zbl 1421.35178
Perera, Kanishka; Shivaji, Ratnasingham; Sim, Inbo
2020
Existence and nondegeneracy of ground states in critical free boundary problems. Zbl 1411.35291
Yang, Yang; Perera, Kanishka
2019
Existence results for double-phase problems via Morse theory. Zbl 1379.35152
Perera, Kanishka; Squassina, Marco
2018
Bifurcation results for problems with fractional Trudinger-Moser nonlinearity. Zbl 1374.35185
Perera, Kanishka; Squassina, Marco
2018
$$p$$-Laplacian problems involving critical Hardy-Sobolev exponents. Zbl 1401.35109
Perera, Kanishka; Zou, Wenming
2018
Higher critical points in an elliptic free boundary problem. Zbl 1391.35429
Jerison, David; Perera, Kanishka
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
2018
A note on fractional $$p$$-Laplacian problems with singular weights. Zbl 1366.35105
Ho, Ky; Perera, Kanishka; Sim, Inbo; Squassina, Marco
2017
On critical $$p$$-Laplacian systems. Zbl 1372.35034
Guo, Zhenyu; Perera, Kanishka; Zou, Wenming
2017
Multiplicity results for critical $$p$$-Laplacian problems. Zbl 1376.35079
Barletta, Giuseppina; Candito, Pasquale; Marano, Salvatore A.; Perera, Kanishka
2017
Existence results for fractional $$p$$-Laplacian problems via Morse theory. Zbl 06567151
Iannizzotto, Antonio; Liu, Shibo; Perera, Kanishka; Squassina, Marco
2016
The Brezis-Nirenberg problem for the fractional $$p$$-Laplacian. Zbl 1361.35198
Mosconi, Sunra; Perera, Kanishka; Squassina, Marco; Yang, Yang
2016
Bifurcation and multiplicity results for critical fractional $$p$$-Laplacian problems. Zbl 1336.35050
Perera, Kanishka; Squassina, Marco; Yang, Yang
2016
Critical fractional $$p$$-Laplacian problems with possibly vanishing potentials. Zbl 1403.35319
Perera, Kanishka; Squassina, Marco; Yang, Yang
2016
Bifurcation and multiplicity results for critical $$p$$-Laplacian problems. Zbl 1379.35153
Perera, Kanishka; Squassina; Yang, Yang
2016
$$N$$-Laplacian problems with critical Trudinger-Moser nonlinearities. Zbl 1359.35083
Yang, Yang; Perera, Kanishka
2016
$$(N,q)$$-Laplacian problems with critical Trudinger-Moser nonlinearities. Zbl 1337.35063
Yang, Yang; Perera, Kanishka
2016
A note on the Dancer-Fučík spectra of the fractional $$p$$-Laplacian and Laplacian operators. Zbl 1432.35228
Perera, Kanishka; Squassina, Marco; Yang, Yang
2015
On a class of critical $$(p,q)$$-Laplacian problems. Zbl 1328.35053
Candito, Pasquale; Marano, Salvatore A.; Perera, Kanishka
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.
2015
On the second minimax level of the scalar field equation and symmetry breaking. Zbl 1323.35124
Perera, Kanishka; Tintarev, Cyril
2015
Some results for impulsive problems via Morse theory. Zbl 1306.34042
Agarwal, Ravi P.; Bhaskar, T. Gnana; Perera, Kanishka
2014
An existence result for a class of quasilinear elliptic eigenvalue problems in unbounded domains. Zbl 1296.35108
Perera, Kanishka; Pucci, Patrizia; Varga, Csaba
2014
Asymptotic behavior of the eigenvalues of the $$p(x)$$-Laplacian. Zbl 1325.35127
Perera, Kanishka; Squassina, Marco
2014
$$p$$-Laplace equations with singular weights. Zbl 1290.35130
Perera, Kanishka; Sim, Inbo
2014
A nodal solution of the scalar field equation at the second minimax level. Zbl 1317.35167
Perera, Kanishka; Tintarev, Cyril
2014
A multiplicity result for the scalar field equation. Zbl 1303.35029
Perera, Kanishka
2014
Topics in critical point theory. Zbl 1273.58003
Perera, Kanishka; Schechter, Martin
2013
On some elliptic interface problems with nonhomogeneous jump conditions. Zbl 1274.35144
2013
On singular quasi-monotone $$(p, q)$$-Laplacian systems. Zbl 1252.35144
El Manouni, Said; Perera, Kanishka; Shivaji, Ratnasingham
2012
On some nonlocal eigenvalue problems. Zbl 1263.47074
Agarwal, Ravi P.; Perera, Kanishka; Zhang, Zhitao
2012
An inequality concerning the kernel $$\sum_{t=1}^{n}{e}^{i(ut+vt^{2})}$$. Zbl 1312.26045
Perera, K.
2012
An introduction to complex analysis. Zbl 1230.30001
Agarwal, Ravi P.; Perera, Kanishka; Pinelas, Sandra
2011
Generalized solutions of singular $$p$$-Laplacian problems in $$\mathbb R^N$$. Zbl 1217.35083
Carl, Siegfried; Perera, Kanishka
2011
Morse theoretic aspects of $$p$$-Laplacian type operators. Zbl 1192.58007
Perera, Kanishka; Agarwal, Ravi P.; O’Regan, Donal
2010
Nontrivial solutions of $$p$$-superlinear $$p$$-Laplacian problems via a cohomological local splitting. Zbl 1192.58006
Degiovanni, Marco; Lancelotti, Sergio; Perera, Kanishka
2010
Multiple positive solutions of singular elliptic problems. Zbl 1240.35202
Perera, Kanishka; Silva, Elves A. B.
2010
Weak solutions of quasilinear elliptic systems via the cohomological index. Zbl 1217.35061
Candela, Anna Maria; Medeiros, Everaldo; Palmieri, Giuliana; Perera, Kaniskha
2010
Nontrivial solutions of some quasilinear problems via a cohomological local splitting. Zbl 1196.35106
Candela, A. M.; Palmieri, G.; Perera, K.
2010
Multiplicity of solutions for a quasilinear elliptic problem via the cohomological index. Zbl 1173.35480
Medeiros, Everaldo; Perera, Kanishka
2009
Multiplicity results for $$p$$-biharmonic problems via Morse theory. Zbl 1192.35042
Liu, Shibo; Medeiros, Everaldo; Perera, Kanishka
2009
Sandwich pairs for $$p$$-Laplacian systems. Zbl 1165.49005
Perera, Kanishka; Schechter, Martin
2009
Multiple nontrivial solutions of Neumann $$p$$-Laplacian systems. Zbl 1183.35119
Motreanu, Dumitru; Perera, Kanishka
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.
2008
Wirtinger’s inequalities on time scales. Zbl 1148.26020
Agarwal, Ravi P.; Otero-Espinar, Victoria; Perera, Kanishka; Vivero, Dolores R.
2008
Positive solutions of multiparameter semipositone $$p$$-Laplacian problems. Zbl 1135.35340
Perera, Kanishka; Shivaji, Ratnasingham
2008
Flows and critical points. Zbl 1180.35260
Perera, Kanishka; Schechter, Martin
2008
Positive solutions in the sense of distributions of singular boundary value problems. Zbl 1134.34011
Agarwal, Ravi P.; Perera, Kanishka; O’Regan, Donal
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.
2007
On singular $$p$$-Laplacian problems. Zbl 1212.34048
Perera, Kanishka; Silva, Elves A. B.
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.
2007
Nonlinear integral equations singular in the dependent variable. Zbl 1138.45004
O’Regan, Donal; Agarwal, Ravi P.; Perera, Kanishka
2007
Sandwich pairs in $$p$$-Laplacian problems. Zbl 1153.35041
Perera, Kanishka; Schechter, Martin
2007
$$p$$-Laplacian problems with critical Sobolev exponents. Zbl 1387.35254
Perera, Kanishka; Silva, Elves A. B.
2007
Nontrivial solutions of Kirchhoff-type problems via the Yang index. Zbl 1357.35131
Perera, Kanishka; Zhang, Zhitao
2006
Sign changing solutions of Kirchhoff type problems via invariant sets of descent flow. Zbl 1100.35008
Zhang, Zhitao; Perera, Kanishka
2006
Basic properties of Sobolev’s spaces on time scales. Zbl 1139.39022
Agarwal, Ravi P.; Otero-Espinar, Victoria; Perera, Kanishka; Vivero, Dolores R.
2006
Existence and multiplicity of positive solutions for singular quasilinear problems. Zbl 1168.35358
Perera, Kanishka; Silva, Elves A. B.
2006
Multiple positive solutions of singular problems by variational methods. Zbl 1094.34013
Agarwal, Ravi P.; Perera, Kanishka; O’Regan, Donal
2006
A variational approach to singular quasilinear elliptic problems with sign changing nonlinearities. Zbl 1170.35041
Agarwal, Ravi P.; Perera, Kanishka; O’Regan, Donal
2006
Multiple positive solutions of singular discrete $$p$$-Laplacian problems via variational methods. Zbl 1098.39001
Agarwal, Ravi P.; Perera, Kanishka; O’Regan, Donal
2005
Multiple positive solutions of singular $$p$$-Laplacian problems by variational methods. Zbl 1220.35082
Perera, Kanishka; Zhang, Zhitao
2005
$$p$$-Laplacian problems where the nonlinearity crosses an eigenvalue. Zbl 1094.35052
Perera, Kanishka; Szulkin, Andrzej
2005
Positive solutions of higher-order singular problems. Zbl 1095.34518
Agarwal, R. P.; Perera, K.; O’Regan, D.
2005
Multiple positive solutions of singular and nonsingular discrete problems via variational methods. Zbl 1070.39005
Agarwal, Ravi P.; Perera, Kanishka; O’Regan, Donal
2004
On the Fučík spectrum of the $$p$$-Laplacian. Zbl 1068.35086
Perera, Kanishka
2004
Nontrivial critical groups in $$p$$-Laplacian problems via the Yang index. Zbl 1039.47041
Perera, Kanishka
2003
Double resonance problems with respect to the Fučík spectrum. Zbl 1030.35079
Perera, Kanishka; Schechter, Martin
2003
Multiple positive solutions for a class of quasilinear elliptic boundary-value problems. Zbl 1019.35031
Perera, Kanishka
2003
Nontrivial solutions of $$p$$-superlinear $$p$$-Laplacian problems. Zbl 1039.35043
Perera, Kanishka
2003
Computation of critical groups in Fučík resonance problems. Zbl 1283.35041
Perera, Kanishka; Schechter, Martin
2003
Sign-changing and multiple solutions for the $$p$$-Laplacian. Zbl 1106.35308
Carl, Siegfried; Perera, Kanishka
2002
Resonance problems with respect to the Fučík spectrum of the $$p$$-Laplacian. Zbl 1068.35508
Perera, Kanishka
2002
An existence result for a class of quasilinear elliptic boundary value problems with jumping nonlinearities. Zbl 1200.35075
Perera, Kanishka
2002
One-sided resonance for quasilinear problems with asymmetric nonlinearities. Zbl 1192.35055
Perera, Kanishka
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
2002
Some remarks on the Fučík spectrum of the $$p$$-Laplacian and critical groups. Zbl 0970.35056
Dancer, Norman; Perera, Kanishka
2001
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
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
Computation of critical groups in resonance problems where the nonlinearity may not be sublinear. Zbl 1088.58005
Li, Shujie; Perera, Kanishka
2001
Applications of Morse theory to the solution of semilinear problems depending on $$C^1$$ functionals. Zbl 1194.35187
Perera, Kanishka; Schechter, Martin
2001
Existence and multiplicity results for a Sturm-Liouville equation asymptotically linear at $$-\infty$$ and superlinear at $$+\infty$$. Zbl 0942.34021
Perera, Kanishka
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
Semilinear elliptic equations having asymptotic limits at zero and infinity. Zbl 0987.35057
Perera, Kanishka; Schechter, Martin
1999
Applications of local linking to asymptotically linear elliptic problems at resonance. Zbl 0926.35040
Perera, Kanishka
1999
Type II regions between curves of the Fučik spectrum and critical groups. Zbl 0940.35094
Perera, Kanishka; Schechter, Martin
1998
Perera, Kanishka
1998
Critical groups of critical points produced by local linking with applications. Zbl 0972.58008
Perera, Kanishka
1998
Morse index estimates in saddle point theorems without a finite-dimensional closed loop. Zbl 0933.37065
Perera, Kanishka; Schechter, Martin
1998
Multiplicity results for some elliptic problems with concave nonlinearities. Zbl 0889.35036
Perera, Kanishka
1997
Critical groups of pairs of critical points produced by linking subsets. Zbl 0889.58025
Perera, Kanishka
1997
all top 5

#### Cited by 1,027 Authors

 69 Papageorgiou, Nikolaos S. 41 Perera, Kanishka 30 Tang, Xianhua 21 Rădulescu, Vicenţiu D. 21 Squassina, Marco 19 Shi, Haiping 18 Figueiredo, Giovany Malcher 18 Gasiński, Leszek 18 Motreanu, Dumitru 18 Tang, Chun-Lei 17 O’Regan, Donal 17 Zhang, Jihui 16 Yang, Yang 16 Zhang, Binlin 15 Chen, Haibo 15 Zhang, Zhitao 14 Li, Shujie 13 Candito, Pasquale 13 Cheng, Bitao 13 Wu, Xian 13 Zou, Wenming 12 Galewski, Marek 12 Iannizzotto, Antonio 12 Mosconi, Sunra J. N. 12 Tanaka, Mieko 12 Xiang, Mingqi 11 Agarwal, Ravi P. 11 Deng, Xiaoqing 11 Heidarkhani, Shapour 11 Liu, Shibo 11 Su, Jiabao 10 Ambrosio, Vincenzo 10 Liao, Jiafeng 10 Liu, Zhisu 10 Molica Bisci, Giovanni 10 Otero-Espinar, Victoria 10 Repovš, Dušan D. 10 Sun, Mingzheng 10 Winkert, Patrick 9 Candela, Anna Maria 9 Liang, Sihua 9 Liu, Xia 9 Marano, Salvatore Angelo 9 Tersian, Stepan Agop 9 Zhang, Yuanbiao 8 Carl, Siegfried 8 Ge, Weigao 8 Mao, Anmin 8 Schechter, Martin 7 Chen, Wenjing 7 Faraci, Francesca 7 Guo, Zhiming 7 He, Tieshan 7 He, Xiaoming 7 Isernia, Teresa 7 Li, Fuyi 7 Li, Yongkun 7 Liu, Jinsheng 7 Nguyen Thanh Chung 7 Pei, Ruichang 7 Shi, Shaoyun 7 Song, Yueqiang 7 Sun, Juntao 7 Tian, Yu 7 Zhou, Zhan 6 Afrouzi, Ghasem Alizadeh 6 Alves, Claudianor Oliveira 6 Bai, Dingyong 6 Chen, Peng 6 Chung, Soon-Yeong 6 Dai, Guowei 6 Drábek, Pavel 6 Kyritsi, Sophia Th. 6 Lei, Chunyu 6 Li, Chong 6 Li, Yuhua 6 Lin, Xiaoyan 6 Moussaoui, Abdelkrim 6 Nieto Roig, Juan Jose 6 Ou, Zengqi 6 Salvatore, Addolorata 6 Santos, Carlos Alberto P. 6 Sim, Inbo 6 Sun, Hongrui 6 Vivero, Dolores R. 6 Wang, Shuli 6 Yan, Baoqiang 6 Yu, Jian-She 6 Zhang, Jing 6 Zhang, Qiongfen 6 Zhao, Peihao 6 Zheng, Bo 6 Zhou, Jianwen 5 Bartolo, Rossella 5 Chen, Caisheng 5 Chen, Sitong 5 Sobreira de Araujo Corrêa, Francisco Julio 5 D’Aguì, Giuseppina 5 de la Sen, Manuel 5 Degiovanni, Marco ...and 927 more Authors
all top 5

#### Cited in 158 Serials

 136 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 112 Journal of Mathematical Analysis and Applications 51 Boundary Value Problems 48 Advances in Difference Equations 39 Journal of Differential Equations 35 Applied Mathematics Letters 31 Applied Mathematics and Computation 27 Calculus of Variations and Partial Differential Equations 24 Mediterranean Journal of Mathematics 23 Journal of Difference Equations and Applications 21 Computers & Mathematics with Applications 20 Communications on Pure and Applied Analysis 19 Complex Variables and Elliptic Equations 18 Advanced Nonlinear Studies 17 NoDEA. Nonlinear Differential Equations and Applications 17 Abstract and Applied Analysis 15 Mathematical Methods in the Applied Sciences 15 ZAMP. Zeitschrift für angewandte Mathematik und Physik 15 Annali di Matematica Pura ed Applicata. Serie Quarta 15 Communications in Contemporary Mathematics 15 Nonlinear Analysis. Real World Applications 14 Journal of Mathematical Physics 12 Acta Applicandae Mathematicae 12 Topological Methods in Nonlinear Analysis 12 Electronic Journal of Differential Equations (EJDE) 11 Applicable Analysis 11 Journal of Functional Analysis 11 Advances in Nonlinear Analysis 10 Mathematische Nachrichten 10 Discrete Dynamics in Nature and Society 10 Discrete and Continuous Dynamical Systems. Series S 9 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 9 Journal of Applied Mathematics and Computing 8 Discrete and Continuous Dynamical Systems 7 Monatshefte für Mathematik 7 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 6 Positivity 6 Journal of Fixed Point Theory and Applications 6 Journal of Function Spaces 5 Rocky Mountain Journal of Mathematics 5 Proceedings of the American Mathematical Society 5 Zeitschrift für Analysis und ihre Anwendungen 5 Acta Mathematicae Applicatae Sinica. English Series 5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 5 Journal of Dynamical and Control Systems 5 Differential Equations and Applications 4 Glasgow Mathematical Journal 4 International Journal of Mathematics and Mathematical Sciences 4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 Mathematical and Computer Modelling 4 Communications in Partial Differential Equations 4 Opuscula Mathematica 3 Journal of Computational and Applied Mathematics 3 Journal of the Korean Mathematical Society 3 Manuscripta Mathematica 3 Proceedings of the Edinburgh Mathematical Society. Series II 3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 3 Fractional Calculus & Applied Analysis 3 Journal of Applied Mathematics 3 Complex Analysis and Operator Theory 3 Journal of Nonlinear Science and Applications 3 International Journal of Differential Equations 3 Set-Valued and Variational Analysis 3 Analysis and Mathematical Physics 2 Bulletin of the Australian Mathematical Society 2 Applied Mathematics and Optimization 2 Bulletin of the London Mathematical Society 2 Journal of Optimization Theory and Applications 2 Mathematische Annalen 2 Results in Mathematics 2 Ricerche di Matematica 2 Tokyo Journal of Mathematics 2 Transactions of the American Mathematical Society 2 Bulletin of the Iranian Mathematical Society 2 Applied Mathematical Modelling 2 Journal of Dynamics and Differential Equations 2 Indagationes Mathematicae. New Series 2 Bulletin des Sciences Mathématiques 2 Mathematical Problems in Engineering 2 International Journal of Nonlinear Sciences and Numerical Simulation 2 Discrete and Continuous Dynamical Systems. Series B 2 Journal of the Australian Mathematical Society 2 Applied Mathematics E-Notes 2 Milan Journal of Mathematics 2 Central European Journal of Mathematics 2 Analysis and Applications (Singapore) 2 Open Mathematics 1 Discrete Mathematics 1 Indian Journal of Pure & Applied Mathematics 1 Mathematical Notes 1 Advances in Mathematics 1 Annales Polonici Mathematici 1 Archiv der Mathematik 1 Canadian Mathematical Bulletin 1 Demonstratio Mathematica 1 Journal of Economic Theory 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Tohoku Mathematical Journal. Second Series 1 Bulletin of the Korean Mathematical Society 1 Applied Mathematics and Mechanics. (English Edition) ...and 58 more Serials
all top 5

#### Cited in 34 Fields

 812 Partial differential equations (35-XX) 208 Ordinary differential equations (34-XX) 177 Global analysis, analysis on manifolds (58-XX) 176 Difference and functional equations (39-XX) 143 Operator theory (47-XX) 50 Calculus of variations and optimal control; optimization (49-XX) 37 Dynamical systems and ergodic theory (37-XX) 28 Integral equations (45-XX) 23 Functional analysis (46-XX) 15 Numerical analysis (65-XX) 13 Real functions (26-XX) 6 Differential geometry (53-XX) 6 Mechanics of deformable solids (74-XX) 5 Quantum theory (81-XX) 5 Systems theory; control (93-XX) 4 Potential theory (31-XX) 4 Mechanics of particles and systems (70-XX) 3 Probability theory and stochastic processes (60-XX) 3 Biology and other natural sciences (92-XX) 2 Approximations and expansions (41-XX) 2 Fluid mechanics (76-XX) 2 Operations research, mathematical programming (90-XX) 1 Combinatorics (05-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Statistics (62-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX)