Edit Profile (opens in new tab) Perera, Kanishka Co-Author Distance Author ID: perera.kanishka Published as: Perera, Kanishka; Perera, K.; Perera, Kaniskha more...less Homepage: https://www.fit.edu/faculty-profiles/5/kanishka-perera/ External Links: MGP · ORCID · Wikidata · Google Scholar · ResearchGate · dblp · GND · IdRef Documents Indexed: 144 Publications since 1997, including 3 Books and 8 Additional arXiv Preprints 1 Contribution as Editor Co-Authors: 60 Co-Authors with 121 Joint Publications 2,361 Co-Co-Authors all top 5 Co-Authors 24 single-authored 19 Agarwal, Ravi P. 17 Schechter, Martin 12 Squassina, Marco 10 O’Regan, Donal 9 Yang, Yang 7 El Manouni, Said 6 Sportelli, Caterina 6 Zhang, Zhitao 5 Candela, Anna Maria 5 Otero-Espinar, Maria Victoria 5 Silva, Elves A. B. 5 Sim, Inbo 5 Vivero, Dolores R. 4 Candito, Pasquale 4 Souto de Medeiros, Everaldo 4 Tintarev, Kyril 3 Li, Shujie 3 Liu, Shibo 3 Marano, Salvatore Angelo 3 Palmieri, Giuliana 3 Shivaji, Ratnasingham 2 Bhaskar, Tenali Gnana 2 Carl, Siegfried 2 Dipierro, Serena 2 Fu, Shiqiu 2 Hasani, Erisa 2 Ho, Ky 2 Iannizzotto, Antonio 2 Jerison, David S. 2 Mercuri, Carlo 2 Su, Jiabao 2 Valdinoci, Enrico 2 Zou, Wenming 1 Amoroso, Eleonora 1 Barletta, Giuseppina 1 Bhakta, Mousomi 1 Bonanno, Gabriele 1 Colasuonno, Francesca 1 Dancer, Edward Norman 1 Degiovanni, Marco 1 Guarnotta, Umberto 1 Guo, Zhenyu 1 Hajaiej, Hichem 1 Ho, Tsz Chung 1 Lancelotti, Sergio 1 Marinho, Artur Jorge 1 Molica Bisci, Giovanni 1 Mosconi, Sunra J. N. 1 Motreanu, Dumitru 1 Mugnai, Dimitri 1 Pinelas, Sandra 1 Proietti Lippi, Edoardo 1 Pucci, Patrizia 1 Salvatore, Addolorata 1 Servadei, Raffaella 1 Sk, Firoj 1 Szulkin, Andrzej 1 Varga, Csaba György 1 Wang, Jun 1 Winkert, Patrick all top 5 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 all top 5 Fields 123 Partial differential equations (35-XX) 53 Global analysis, analysis on manifolds (58-XX) 25 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 Integral equations (45-XX) 3 Functional analysis (46-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 General and overarching topics; collections (00-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) Publications by Year all cited Publications top 5 cited Publications 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 cited Publications top 5 cited Publications 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 all top 5 Cited in 227 Serials 146 Journal of Mathematical Analysis and Applications 143 Nonlinear Analysis. Theory, Methods & Applications. 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(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. 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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 all top 5 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) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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