Superlinear parabolic problems: blow-up, global existence and steady states P Quittner, P Souplet Springer Science & Business Media, 2007 | 1413* | 2007 |

Singularity and decay estimates in superlinear problems via Liouville-type theorems, I: Elliptic equations and systems P Poláčik, P Quittner, P Souplet Duke Mathematical Journal 139 (3), 555-579, 2007 | 410 | 2007 |

Stationary solutions, blow up and convergence to stationary solutions for semilinear parabolic equations with nonlinear boundary conditions M Chipot, M Fila, P Quittner Acta Mathematica Universitatis Comenianae. New Series 60 (1), 35-103, 1991 | 178 | 1991 |

Singularity and decay estimates in superlinear problems via Liouville-type theorems. Part II: Parabolic equations P Poláčik, P Quittner, P Souplet Indiana University mathematics journal, 879-908, 2007 | 145 | 2007 |

The blow‐up rate for the heat equation with a non‐linear boundary condition M Fila, P Quittner Mathematical Methods in the Applied Sciences 14 (3), 197-205, 1991 | 128 | 1991 |

On global existence and stationary solutions for two classes of semilinear parabolic problems P Quittner Commentationes Mathematicae Universitatis Carolinae 34 (1), 105-124, 1993 | 99 | 1993 |

A priori estimates and existence for elliptic systems via bootstrap in weighted Lebesgue spaces P Quittner, P Souplet Archive for rational mechanics and analysis 174, 49-81, 2004 | 89 | 2004 |

Continuity of the blow-up time and a priori bounds for solutions in superlinear parabolic problems P Quittner Houston J. Math 29 (3), 757-799, 2003 | 85 | 2003 |

A priori bounds for global solutions of a semilinear parabolic problem P Quittner Acta Math. Univ. Comenianae 68 (2), 195-203, 1999 | 85 | 1999 |

The blow-up rate for a semilinear parabolic system M Fila, P Quittner Journal of mathematical analysis and applications 238 (2), 468-476, 1999 | 81 | 1999 |

Spectral analysis of variational inequalities P Quittner Commentationes Mathematicae Universitatis Carolinae 27 (3), 605-629, 1986 | 65 | 1986 |

Blow‐up for semilinear parabolic equations with a gradient term P Quittner Mathematical methods in the applied sciences 14 (6), 413-417, 1991 | 61 | 1991 |

A Liouville-type theorem and the decay of radial solutions of a semilinear heat equation P Poláčik, P Quittner Nonlinear Analysis: Theory, Methods & Applications 64 (8), 1679-1689, 2006 | 59 | 2006 |

Semilinear parabolic equations involving measures and low regularity data H Amann, P Quittner Transactions of the American Mathematical Society 356 (3), 1045-1119, 2004 | 56 | 2004 |

Elliptic boundary value problems involving measures: existence, regularity, and multiplicity H Amann, P Quittner Advances in Differential Equations 3 (6), 753-813, 1998 | 56 | 1998 |

Parabolic problems with nonlinear dynamical boundary conditions and singular initial data JM Arrieta, P Quittner, A Rodríguez-Bernal DIFFERENTIAL AND INTEGRAL EQUATIONS-ATHENS- 14 (12), 1487-1510, 2001 | 52 | 2001 |

Liouville theorems for scaling invariant superlinear parabolic problems with gradient structure P Quittner Mathematische Annalen 364 (1-2), 269-292, 2016 | 51 | 2016 |

Symmetry of components for semilinear elliptic systems P Quittner, P Souplet SIAM Journal on Mathematical Analysis 44 (4), 2545-2559, 2012 | 51 | 2012 |

Global solutions of the Laplace equation with a nonlinear dynamical boundary condition M Fila, P Quittner Mathematical methods in the applied sciences 20 (15), 1325-1333, 1997 | 49 | 1997 |

Initial blow-up rates and universal bounds for nonlinear heat equations P Quittner, P Souplet, M Winkler Journal of Differential Equations 196 (2), 316-339, 2004 | 48 | 2004 |