Edit Profile (opens in new tab) Girg, Petr Compute Distance To: Compute Author ID: girg.petr Published as: Girg, Petr; Girg, P. External Links: ORCID Documents Indexed: 40 Publications since 1998 3 Contributions as Editor Reviewing Activity: 20 Reviews Co-Authors: 18 Co-Authors with 40 Joint Publications 300 Co-Co-Authors all top 5 Co-Authors 3 single-authored 14 Chhetri, Maya 12 Benedikt, Jiří 12 Takáč, Peter 9 Kotrla, Lukas 8 Drábek, Pavel 5 Roca, Francisco 2 Čepička, Jan 2 Hollifield, Elliott 2 Neuberger, John M. 1 Binding, Paul Anthony 1 Bobkov, Vladimir E. 1 Boulton, Lyonell S. 1 Del Toro, Naira 1 Gámez Ruiz, José Luis 1 Manasevich, Raul F. 1 Mishra, Satya Narayan 1 Ulm, Michael 1 Villegas, Salvador all top 5 Serials 9 Electronic Journal of Differential Equations (EJDE) 7 Journal of Mathematical Analysis and Applications 6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Journal of Differential Equations 4 Applied Mathematics Letters 2 Boundary Value Problems 1 Indiana University Mathematics Journal 1 Journal of Combinatorics, Information & System Sciences 1 Proceedings of the American Mathematical Society 1 Mathematica Bohemica 1 NoDEA. Nonlinear Differential Equations and Applications 1 Abstract and Applied Analysis 1 Annales Henri Poincaré 1 SN Partial Differential Equations and Applications all top 5 Fields 27 Partial differential equations (35-XX) 16 Ordinary differential equations (34-XX) 8 Operator theory (47-XX) 3 General and overarching topics; collections (00-XX) 3 Special functions (33-XX) 2 Numerical analysis (65-XX) 1 Combinatorics (05-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Fluid mechanics (76-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 30 Publications have been cited 173 times in 140 Documents Cited by ▼ Year ▼ Basis properties of eigenfunctions of the \(p\)-Laplacian. Zbl 1119.34064Binding, Paul; Boulton, Lyonell; Cepicka, Jan; Drábek, Pavel; Girg, Petr 23 2006 The Fredholm alternative for the \(p\)-Laplacian: bifurcation from infinity, existence and multiplicity. Zbl 1081.35031Drábek, P.; Girg, P.; Takáč, P.; Ulm, M. 19 2004 Existence and nonexistence of positive solutions for a class of superlinear semipositone systems. Zbl 1175.35044Chhetri, Maya; Girg, Petr 15 2009 Bifurcations of positive and negative continua in quasilinear elliptic eigenvalue problems. Zbl 1145.35020Girg, Petr; Takáč, Peter 14 2008 Nonuniqueness and multi-bump solutions in parabolic problems with the \(p\)-Laplacian. Zbl 1332.35194Benedikt, Jiří; Girg, Petr; Kotrla, Lukáš; Takáč, Peter 14 2016 Generic Fredholm alternative-type results for the one dimensional \(p\)-Laplacian. Zbl 1045.34004Drábek, Pavel; Girg, Petr; Manásevich, Raul 12 2001 Existence of positive solutions for a class of superlinear semipositone systems. Zbl 1310.35092Chhetri, Maya; Girg, Petr 11 2013 Bounded perturbations of homogeneous quasilinear operators using bifurcations from infinity. Zbl 1111.35009Drábek, P.; Girg, P.; Takáč, P. 9 2004 Nonuniqueness of solutions of initial-value problems for parabolic \(p\)-Laplacian. Zbl 06430819Benedikt, Jiri; Bobkov, Vladimir E.; Girg, Petr; Kotrla, Lukas; Takac, Peter 6 2015 Origin of the \(p\)-Laplacian and A. Missbach. Zbl 1386.76158Benedikt, Jiří; Girg, Petr; Kotrla, Lukáš; Takáč, Peter 6 2018 Asymptotically linear systems near and at resonance. Zbl 1304.35263Chhetri, Maya; Girg, Petr 5 2014 The second eigenfunction of the \(p\)-Laplacian on the disk is not radial. Zbl 1251.35057Benedikt, Jiří; Drábek, Pavel; Girg, Petr 5 2012 Neumann and periodic boundary-value problems for quasilinear ordinary differential equations with a nonlinearity in the derivative. Zbl 0974.34018Girg, Petr 4 2000 On the Fredholm alternative for the \(p\)-Laplacian at higher eigenvalues (in one dimension). Zbl 1206.34030Benedikt, Jiří; Girg, Petr; Takáč, Peter 4 2010 Remarks on the range properties of certain semilinear problems of Landesman-Lazer type. Zbl 0993.34012Drábek, Pavel; Girg, Petr; Roca, Francisco 4 2001 Global bifurcation of positive solutions for a class of superlinear elliptic systems. Zbl 1351.35044Chhetri, M.; Girg, P. 3 2016 Dirichlet problem with nonlinearity depending only on the derivative. Zbl 1032.34014Del Toro, N.; Girg, P.; Roca, F. 2 2003 Quasilinear boundary value problems: existence and multiplicity results. Zbl 1137.35028Čepička, Jan; Drábek, Pavel; Girg, Petr 2 2004 Semilinear Sturm-Liouville problem with periodic nonlinearity. Zbl 1113.34020Girg, Petr; Roca, Francisco; Villegas, Salvador 2 2005 The first nontrivial curve in the Fučík spectrum of the Dirichlet Laplacian on the ball consists of nonradial eigenvalues. Zbl 1273.35204Benedikt, Jiří; Drábek, Pavel; Girg, Petr 2 2011 Existence of positive solutions for fractional Laplacian equations: theory and numerical experiments. Zbl 1448.35186Chhetri, Maya; Girg, Petr; Hollifield, Elliott 2 2020 Nonexistence of nonnegative solutions for a class of \((p-1)\)-superhomogeneous semipositone problems. Zbl 1217.35062Chhetri, Maya; Girg, Petr 1 2006 Differentiability properties of \(p\)-trigonometric functions. Zbl 1291.33021Girg, Petr; Kotrla, Lukas 1 2014 On the range of certain pendulum-type equations. Zbl 0971.34007Girg, Petr; Roca, Francisco 1 2000 Existence of periodic solutions for a semilinear ordinary differential equation. Zbl 0917.34034Girg, Petr 1 1998 Prüfer transformation for the \(p\)-Laplacian. Zbl 1203.34062Benedikt, Jiri; Girg, Petr 1 2010 Generalized trigonometric functions in complex domain. Zbl 1349.33018Girg, Petr; Kotrla, Lukáš 1 2015 \(p\)-trigonometric and \(p\)-hyperbolic functions in complex domain. Zbl 1470.33001Girg, Petr; Kotrla, Lukáš 1 2016 The strong maximum principle in parabolic problems with the \(p\)-Laplacian in a domain. Zbl 1355.35119Benedikt, Jiří; Girg, Petr; Kotrla, Lukáš; Takáč, Peter 1 2017 On the solvability of asymptotically linear systems at resonance. Zbl 1342.35095Chhetri, Maya; Girg, Petr 1 2016 Existence of positive solutions for fractional Laplacian equations: theory and numerical experiments. Zbl 1448.35186Chhetri, Maya; Girg, Petr; Hollifield, Elliott 2 2020 Origin of the \(p\)-Laplacian and A. Missbach. Zbl 1386.76158Benedikt, Jiří; Girg, Petr; Kotrla, Lukáš; Takáč, Peter 6 2018 The strong maximum principle in parabolic problems with the \(p\)-Laplacian in a domain. Zbl 1355.35119Benedikt, Jiří; Girg, Petr; Kotrla, Lukáš; Takáč, Peter 1 2017 Nonuniqueness and multi-bump solutions in parabolic problems with the \(p\)-Laplacian. Zbl 1332.35194Benedikt, Jiří; Girg, Petr; Kotrla, Lukáš; Takáč, Peter 14 2016 Global bifurcation of positive solutions for a class of superlinear elliptic systems. Zbl 1351.35044Chhetri, M.; Girg, P. 3 2016 \(p\)-trigonometric and \(p\)-hyperbolic functions in complex domain. Zbl 1470.33001Girg, Petr; Kotrla, Lukáš 1 2016 On the solvability of asymptotically linear systems at resonance. Zbl 1342.35095Chhetri, Maya; Girg, Petr 1 2016 Nonuniqueness of solutions of initial-value problems for parabolic \(p\)-Laplacian. Zbl 06430819Benedikt, Jiri; Bobkov, Vladimir E.; Girg, Petr; Kotrla, Lukas; Takac, Peter 6 2015 Generalized trigonometric functions in complex domain. Zbl 1349.33018Girg, Petr; Kotrla, Lukáš 1 2015 Asymptotically linear systems near and at resonance. Zbl 1304.35263Chhetri, Maya; Girg, Petr 5 2014 Differentiability properties of \(p\)-trigonometric functions. Zbl 1291.33021Girg, Petr; Kotrla, Lukas 1 2014 Existence of positive solutions for a class of superlinear semipositone systems. Zbl 1310.35092Chhetri, Maya; Girg, Petr 11 2013 The second eigenfunction of the \(p\)-Laplacian on the disk is not radial. Zbl 1251.35057Benedikt, Jiří; Drábek, Pavel; Girg, Petr 5 2012 The first nontrivial curve in the Fučík spectrum of the Dirichlet Laplacian on the ball consists of nonradial eigenvalues. Zbl 1273.35204Benedikt, Jiří; Drábek, Pavel; Girg, Petr 2 2011 On the Fredholm alternative for the \(p\)-Laplacian at higher eigenvalues (in one dimension). Zbl 1206.34030Benedikt, Jiří; Girg, Petr; Takáč, Peter 4 2010 Prüfer transformation for the \(p\)-Laplacian. Zbl 1203.34062Benedikt, Jiri; Girg, Petr 1 2010 Existence and nonexistence of positive solutions for a class of superlinear semipositone systems. Zbl 1175.35044Chhetri, Maya; Girg, Petr 15 2009 Bifurcations of positive and negative continua in quasilinear elliptic eigenvalue problems. Zbl 1145.35020Girg, Petr; Takáč, Peter 14 2008 Basis properties of eigenfunctions of the \(p\)-Laplacian. Zbl 1119.34064Binding, Paul; Boulton, Lyonell; Cepicka, Jan; Drábek, Pavel; Girg, Petr 23 2006 Nonexistence of nonnegative solutions for a class of \((p-1)\)-superhomogeneous semipositone problems. Zbl 1217.35062Chhetri, Maya; Girg, Petr 1 2006 Semilinear Sturm-Liouville problem with periodic nonlinearity. Zbl 1113.34020Girg, Petr; Roca, Francisco; Villegas, Salvador 2 2005 The Fredholm alternative for the \(p\)-Laplacian: bifurcation from infinity, existence and multiplicity. Zbl 1081.35031Drábek, P.; Girg, P.; Takáč, P.; Ulm, M. 19 2004 Bounded perturbations of homogeneous quasilinear operators using bifurcations from infinity. Zbl 1111.35009Drábek, P.; Girg, P.; Takáč, P. 9 2004 Quasilinear boundary value problems: existence and multiplicity results. Zbl 1137.35028Čepička, Jan; Drábek, Pavel; Girg, Petr 2 2004 Dirichlet problem with nonlinearity depending only on the derivative. Zbl 1032.34014Del Toro, N.; Girg, P.; Roca, F. 2 2003 Generic Fredholm alternative-type results for the one dimensional \(p\)-Laplacian. Zbl 1045.34004Drábek, Pavel; Girg, Petr; Manásevich, Raul 12 2001 Remarks on the range properties of certain semilinear problems of Landesman-Lazer type. Zbl 0993.34012Drábek, Pavel; Girg, Petr; Roca, Francisco 4 2001 Neumann and periodic boundary-value problems for quasilinear ordinary differential equations with a nonlinearity in the derivative. Zbl 0974.34018Girg, Petr 4 2000 On the range of certain pendulum-type equations. Zbl 0971.34007Girg, Petr; Roca, Francisco 1 2000 Existence of periodic solutions for a semilinear ordinary differential equation. Zbl 0917.34034Girg, Petr 1 1998 all cited Publications top 5 cited Publications all top 5 Cited by 173 Authors 17 Girg, Petr 11 Takáč, Peter 11 Zhan, Huashui 10 Chhetri, Maya 9 Drábek, Pavel 8 Dai, Guowei 7 Ma, Ruyun 7 Shivaji, Ratnasingham 6 Benedikt, Jiří 6 Kotrla, Lukas 5 Bobkov, Vladimir E. 5 Boulton, Lyonell S. 4 Edmunds, David Eric 4 Feng, Zhaosheng 4 Gurka, Petr 4 Lang, Jan 4 Melkonian, Houry 3 Anoop, Thazhe Veetil 3 Hai, Dang Dinh 3 Takeuchi, Shingo 2 Bakşi, Özlem 2 Bonheure, Denis 2 Del Toro, Naira 2 Lubyshev, V. F. 2 Mawhin, Jean L. 2 Méndez, Osvaldo 2 Quaas, Alexander 2 Roca, Francisco 2 Sasi, Sarath 2 Su, Jiabao 2 Wang, Wei-Chuan 1 Abebe, Abraham 1 Aghajani, Asadollah 1 Alotaibi, Trad 1 Amster, Pablo 1 Audoux, Benjamin 1 Baustian, Falko 1 Benterki, Abdessalem 1 Bereanu, Cristian 1 Binding, Paul Anthony 1 Biswas, Anup 1 Biswas, Nirjan 1 Bouchez, Vincent 1 Bu, Yucheng 1 Cabada, Alberto 1 Castro, Alfonso 1 Čepička, Jan 1 Chai, Chengwen 1 Chen, Haibo 1 Chen, Lijuan 1 Cheng, Yan-Hsiou 1 Chiappinelli, Raffaele 1 Cortázar, Carmen 1 Cuesta, Mabel 1 de Figueredo, Djairo G. 1 de Nápoli, Pablo Luis 1 Del Pezzo, Leandro M. 1 Della Pietra, Francesco 1 Dhanya, Rajendran 1 Ding, Pisheng 1 do Espírito Santo, Júlio César 1 Dolbeault, Jean 1 Du, Yao 1 Ercole, Grey 1 Fabry, Christian 1 Felmer, Patricio L. 1 Feng, Meiqiang 1 Fernández Bonder, Julián 1 Fernández Tojo, Fernando Adrián 1 Ferone, Vincenzo 1 Folino, Raffaele 1 Gambini, Alessandro 1 Gámez Ruiz, José Luis 1 Gao, Chenghua 1 García-Huidobro, Marta 1 García-Melián, Jorge 1 Gavitone, Nunzia 1 Ge, Weigao 1 Giacomoni, Jacques 1 Gil’, Michael Iosif 1 Güngör, Faruk 1 Hammoudi, Ahmed 1 Han, Xiaoling 1 He, Zhiqian 1 Hojat Ansari, A. 1 Holubová, Gabriela 1 Il’yasov, Yavdat Shavkatovich 1 Jebelean, Petru 1 Jiang, Lingfang 1 Jiang, Meiyue 1 Jirásek, Pavel 1 Jost, Jürgen 1 Karp, Dmitriĭ Borisovich 1 Kobayashi, Hiroyuki 1 Kokocki, Piotr 1 Laister, Robert 1 Lakmeche, Abdelkader 1 Langerová, Martina 1 Law, Chun-Kong 1 Leadi, Liamidi A. ...and 73 more Authors all top 5 Cited in 56 Serials 21 Journal of Mathematical Analysis and Applications 17 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 13 Journal of Differential Equations 6 Boundary Value Problems 5 Applied Mathematics Letters 5 Abstract and Applied Analysis 5 Communications on Pure and Applied Analysis 4 Topological Methods in Nonlinear Analysis 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Calculus of Variations and Partial Differential Equations 3 Electronic Journal of Differential Equations (EJDE) 3 Discrete and Continuous Dynamical Systems 3 Revista Matemática Complutense 2 Mathematische Nachrichten 2 Proceedings of the American Mathematical Society 2 Journal of Inequalities and Applications 2 Journal of Applied Mathematics 2 Complex Variables and Elliptic Equations 2 Journal of Fixed Point Theory and Applications 1 Applicable Analysis 1 Computers & Mathematics with Applications 1 Indian Journal of Pure & Applied Mathematics 1 Letters in Mathematical Physics 1 Mathematical Notes 1 Rocky Mountain Journal of Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Integral Equations and Operator Theory 1 Journal of Approximation Theory 1 Journal of Functional Analysis 1 Monatshefte für Mathematik 1 Numerical Functional Analysis and Optimization 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Ricerche di Matematica 1 Transactions of the American Mathematical Society 1 Zeitschrift für Analysis und ihre Anwendungen 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Journal of Dynamics and Differential Equations 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Bulletin des Sciences Mathématiques 1 Vietnam Journal of Mathematics 1 Mathematical Inequalities & Applications 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Communications in Contemporary Mathematics 1 Nonlinear Analysis. Real World Applications 1 Journal of Evolution Equations 1 Discrete and Continuous Dynamical Systems. Series B 1 Portugaliae Mathematica. Nova Série 1 Journal of Applied Mathematics and Computing 1 Advances in Difference Equations 1 International Journal of Number Theory 1 Azerbaijan Journal of Mathematics 1 Journal of Linear and Topological Algebra 1 Journal of Function Spaces 1 Open Mathematics 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Proceedings of the American Mathematical Society. Series B all top 5 Cited in 25 Fields 87 Partial differential equations (35-XX) 41 Ordinary differential equations (34-XX) 22 Operator theory (47-XX) 11 Special functions (33-XX) 11 Functional analysis (46-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 4 Global analysis, analysis on manifolds (58-XX) 2 Combinatorics (05-XX) 2 Number theory (11-XX) 2 Real functions (26-XX) 2 Functions of a complex variable (30-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Difference and functional equations (39-XX) 2 Fluid mechanics (76-XX) 1 General and overarching topics; collections (00-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 General topology (54-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Biology and other natural sciences (92-XX) Citations by Year