| Geometrically induced discrete spectrum in curved tubes B Chenaud, P Duclos, P Freitas, D Krejčiřík Differential Geometry and its Applications 23 (2), 95-105, 2005 | 118 | 2005 |
| The first Robin eigenvalue with negative boundary parameter P Freitas, D Krejčiřík Advances in Mathematics 280, 322-339, 2015 | 103 | 2015 |
| Numerical optimization of low eigenvalues of the Dirichlet and Neumann Laplacians PRS Antunes, P Freitas Journal of Optimization Theory and Applications 154, 235-257, 2012 | 103 | 2012 |
| Stability results for the wave equation with indefinite damping P Freitas, E Zuazua Journal of Differential Equations 132 (2), 338-352, 1996 | 91 | 1996 |
| Asymptotics of Dirichlet eigenvalues and eigenfunctions of the Laplacian on thin domains in Rd D Borisov, P Freitas Journal of Functional Analysis 258 (3), 893-912, 2010 | 82 | 2010 |
| Integrals of polylogarithmic functions, recurrence relations, and associated Euler sums P Freitas Mathematics of Computation 74 (251), 1425-1440, 2005 | 80 | 2005 |
| A nonlocal Sturm–Liouville eigenvalue problem P Freitas Proceedings of the Royal Society of Edinburgh Section A: Mathematics 124 (1 …, 1994 | 79 | 1994 |
| Singular asymptotic expansions for Dirichlet eigenvalues and eigenfunctions of the Laplacian on thin planar domains D Borisov, P Freitas Annales de l'IHP Analyse non linéaire 26 (2), 547-560, 2009 | 75 | 2009 |
| Precise bounds and asymptotics for the first Dirichlet eigenvalue of triangles and rhombi P Freitas Journal of Functional Analysis 251 (1), 376-398, 2007 | 63 | 2007 |
| Bounds and extremal domains for Robin eigenvalues with negative boundary parameter PRS Antunes, P Freitas, D Krejčiřík Advances in Calculus of Variations 10 (4), 357-379, 2017 | 55 | 2017 |
| New bounds for the principal Dirichlet eigenvalue of planar regions P Antunes, P Freitas Experimental Mathematics 15 (3), 333-342, 2006 | 55 | 2006 |
| On some eigenvalue problems related to the wave equation with indefinite damping P Freitas journal of differential equations 127 (1), 320-335, 1996 | 55 | 1996 |
| Location of the nodal set for thin curved tubes P Freitas, D Krejčiřík Indiana University mathematics journal, 343-375, 2008 | 53 | 2008 |
| Closed nodal lines and interior hot spots of the second eigenfunction of the Laplacian on surfaces P Freitas Indiana University mathematics journal, 305-316, 2002 | 45 | 2002 |
| The Robin problem D Bucur, P Freitas, J Kennedy Shape optimization and spectral theory, 78-119, 2017 | 44 | 2017 |
| Optimizing the rate of decay of solutions of the wave equation using genetic algorithms: a counterexample to the constant damping conjecture P Freitas SIAM journal on control and optimization 37 (2), 376-387, 1999 | 44 | 1999 |
| A lower bound to the spectral threshold in curved tubes P Exner, P Freitas, D Krejčiřík Proceedings of the Royal Society of London. Series A: Mathematical, Physical …, 2004 | 43 | 2004 |
| Optimal spectral rectangles and lattice ellipses PRS Antunes, P Freitas Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2013 | 39 | 2013 |
| On the optimal value of the spectral abscissa for a system of linear oscillators P Freitas, P Lancaster SIAM Journal on Matrix Analysis and Applications 21 (1), 195-208, 1999 | 39 | 1999 |
| Stability of finite-dimensional systems with indefinite damping P Freitas, M Grinfeld, PA Knight Advances in Mathematical Sciences and Applications 7, 437-448, 1997 | 38 | 1997 |