Edit Profile (opens in new tab) Filippas, Stathis Co-Author Distance Author ID: filippas.stathis Published as: Filippas, Stathis; Filippas, S. Documents Indexed: 34 Publications since 1992, including 1 Additional arXiv Preprint Co-Authors: 19 Co-Authors with 34 Joint Publications 726 Co-Co-Authors all top 5 Co-Authors 0 single-authored 23 Tertikas, Achilles 6 Moschini, Luisa 5 Barbatis, Gerassimos 3 Maz’ya, Vladimir Gilelevich 2 Dolbeault, Jean 2 Makrakis, George N. 2 Merle, Frank 2 Tersenov, Alkis Savvich 2 Tidblom, Jesper 1 Adimurthi, A. 1 Chabrowski, Jan H. 1 Del Pino, Manuel A. 1 Esteban, Maria J. 1 Guo, Jong-Shenq 1 Herrero, Miguel Ángel 1 Kohn, Robert Vita 1 Liu, Wenxiong 1 Psaradakis, Georgios 1 Velázquez, Juan J. L. all top 5 Serials 5 Journal of Functional Analysis 3 Journal of Differential Equations 2 Archive for Rational Mechanics and Analysis 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Calculus of Variations and Partial Differential Equations 1 Communications in Mathematical Physics 1 Communications on Pure and Applied Mathematics 1 Indiana University Mathematics Journal 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Proceedings of the London Mathematical Society. Third Series 1 Quarterly of Applied Mathematics 1 Transactions of the American Mathematical Society 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 European Journal of Applied Mathematics 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Topological Methods in Nonlinear Analysis 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Journal of Mathematical Fluid Mechanics 1 Journal of the European Mathematical Society (JEMS) 1 Communications in Contemporary Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Communications on Pure and Applied Analysis 1 Multiscale Modeling & Simulation all top 5 Fields 27 Partial differential equations (35-XX) 18 Real functions (26-XX) 16 Functional analysis (46-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 2 Ordinary differential equations (34-XX) 2 Operator theory (47-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Quantum theory (81-XX) 1 Functions of a complex variable (30-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 30 Publications have been cited 894 times in 552 Documents Cited by ▼ Year ▼ A unified approach to improved \(L^p\) Hardy inequalities with best constants. Zbl 1129.26019 Barbatis, G.; Filippas, S.; Tertikas, A. 154 2004 Optimizing improved Hardy inequalities. Zbl 1030.26018 Filippas, Stathis; Tertikas, Achilles 109 2002 Refined asymptotics for the blow-up of \(u_ t-{\Delta}u=u^ p\). Zbl 0784.35010 Filippas, Stathis; Kohn, Robert V. 85 1992 Critical Hardy–Sobolev inequalities. Zbl 1151.35368 Filippas, S.; Maz’ya, V.; Tertikas, A. 59 2007 Series expansion for \(L^p\) Hardy inequalities. Zbl 1035.26014 Barbatis, G.; Filippas, S.; Tertikas, A. 56 2003 Fast blow-up mechanisms for sign-changing solutions of a semilinear parabolic equation with critical nonlinearity. Zbl 0988.35032 Filippas, Stathis; Herrero, Miguel A.; Velázquez, Juan J. L. 46 2000 On a question of Brezis and Marcus. Zbl 1121.26014 Filippas, S.; Maz’ya, V.; Tertikas, A. 38 2006 Sharp two-sided heat kernel estimates for critical Schrödinger operators on bounded domains. Zbl 1172.35013 Filippas, Stathis; Moschini, Luisa; Tertikas, Achilles 37 2007 Sharp trace Hardy-Sobolev-Maz’ya inequalities and the fractional Laplacian. Zbl 1260.35243 Filippas, Stathis; Moschini, Luisa; Tertikas, Achilles 36 2013 On the structure of Hardy-Sobolev-Maz’ya inequalities. Zbl 1185.26043 Filippas, Stathis; Tertikas, Achilles; Tidblom, Jesper 32 2009 On the best constant of Hardy-Sobolev inequalities. Zbl 1165.35484 Adimurthi; Filippas, Stathis; Tertikas, Achilles 32 2009 Sharp Hardy-Sobolev inequalities. Zbl 1058.26007 Filippas, S.; Maz’ya, V. G.; Tertikas, A. 30 2004 On the blowup of multidimensional semilinear heat equations. Zbl 0815.35039 Filippas, Stathis; Liu, Wenxiong 22 1993 A logarithmic Hardy inequality. Zbl 1209.26020 del Pino, Manuel; Dolbeault, Jean; Filippas, Stathis; Tertikas, Achilles 22 2010 On similarity solutions of a heat equation with a nonhomogeneous nonlinearity. Zbl 1011.34006 Filippas, Stathis; Tertikas, Achilles 21 2000 Quenching profiles for one-dimensional semilinear heat equations. Zbl 0796.35072 Filippas, Stathis; Guo, Jong-Shenq 19 1993 Critical heat kernel estimates for Schrödinger operators via Hardy-Sobolev inequalities. Zbl 1058.35049 Barbatis, G.; Filippas, S.; Tertikas, A. 16 2004 Modulation theory for the blowup of vector-valued nonlinear heat equations. Zbl 0814.35043 Filippas, Stathis; Merle, Frank 12 1995 Rigidity results with applications to best constants and symmetry of Caffarelli-Kohn-Nirenberg and logarithmic Hardy inequalities. Zbl 1336.26023 Dolbeault, Jean; Esteban, Maria J.; Filippas, Stathis; Tertikas, Achilles 12 2015 Sharp Hardy and Hardy-Sobolev inequalities with point singularities on the boundary. Zbl 1395.35004 Barbatis, G.; Filippas, S.; Tertikas, A. 9 2018 Refined geometric \(L^ p\) Hardy inequalities. Zbl 1071.26011 Barbatis, G.; Filippas, S.; Tertikas, A. 8 2003 Corrigendum to “Optimizing improved Hardy inequalities” [J. Funct. Anal. 192 (2002) 186-233]. Zbl 1153.26311 Filippas, Stathis; Tertikas, Achilles 8 2008 Trace Hardy-Sobolev-Maz’ya inequalities for the half fractional Laplacian. Zbl 1316.35290 Filippas, Stathis; Moschini, Luisa; Tertikas, Achilles 6 2015 On a class of weighted anisotropic Sobolev inequalities. Zbl 1152.46021 Filippas, Stathis; Moschini, Luisa; Tertikas, Achilles 6 2008 Semiclassical Wigner function and geometrical optics. Zbl 1038.81039 Filippas, Stathis; Makrakis, George N. 5 2003 Compactness and single-point blowup of positive solutions on bounded domains. Zbl 0874.35053 Filippas, Stathis; Merle, Frank 4 1997 The Hardy-Morrey & Hardy-John-Nirenberg inequalities involving distance to the boundary. Zbl 1347.35017 Filippas, Stathis; Psaradakis, Georgios 4 2016 Improving \(L^2\) estimates to Harnack inequalities. Zbl 1178.35097 Filippas, Stathis; Moschini, Luisa; Tertikas, Achilles 3 2009 On the evolution of the semi-classical Wigner function in higher dimensions. Zbl 1110.81082 Filippas, S.; Makrakis, G. N. 2 2006 Optimal Hardy-Sobolev-Maz’ya inequalities with multiple interior singularities. Zbl 1183.26018 Filippas, Stathis; Tertikas, Achilles; Tidblom, Jesper 1 2010 Sharp Hardy and Hardy-Sobolev inequalities with point singularities on the boundary. Zbl 1395.35004 Barbatis, G.; Filippas, S.; Tertikas, A. 9 2018 The Hardy-Morrey & Hardy-John-Nirenberg inequalities involving distance to the boundary. Zbl 1347.35017 Filippas, Stathis; Psaradakis, Georgios 4 2016 Rigidity results with applications to best constants and symmetry of Caffarelli-Kohn-Nirenberg and logarithmic Hardy inequalities. Zbl 1336.26023 Dolbeault, Jean; Esteban, Maria J.; Filippas, Stathis; Tertikas, Achilles 12 2015 Trace Hardy-Sobolev-Maz’ya inequalities for the half fractional Laplacian. Zbl 1316.35290 Filippas, Stathis; Moschini, Luisa; Tertikas, Achilles 6 2015 Sharp trace Hardy-Sobolev-Maz’ya inequalities and the fractional Laplacian. Zbl 1260.35243 Filippas, Stathis; Moschini, Luisa; Tertikas, Achilles 36 2013 A logarithmic Hardy inequality. Zbl 1209.26020 del Pino, Manuel; Dolbeault, Jean; Filippas, Stathis; Tertikas, Achilles 22 2010 Optimal Hardy-Sobolev-Maz’ya inequalities with multiple interior singularities. Zbl 1183.26018 Filippas, Stathis; Tertikas, Achilles; Tidblom, Jesper 1 2010 On the structure of Hardy-Sobolev-Maz’ya inequalities. Zbl 1185.26043 Filippas, Stathis; Tertikas, Achilles; Tidblom, Jesper 32 2009 On the best constant of Hardy-Sobolev inequalities. Zbl 1165.35484 Adimurthi; Filippas, Stathis; Tertikas, Achilles 32 2009 Improving \(L^2\) estimates to Harnack inequalities. Zbl 1178.35097 Filippas, Stathis; Moschini, Luisa; Tertikas, Achilles 3 2009 Corrigendum to “Optimizing improved Hardy inequalities” [J. Funct. Anal. 192 (2002) 186-233]. Zbl 1153.26311 Filippas, Stathis; Tertikas, Achilles 8 2008 On a class of weighted anisotropic Sobolev inequalities. Zbl 1152.46021 Filippas, Stathis; Moschini, Luisa; Tertikas, Achilles 6 2008 Critical Hardy–Sobolev inequalities. Zbl 1151.35368 Filippas, S.; Maz’ya, V.; Tertikas, A. 59 2007 Sharp two-sided heat kernel estimates for critical Schrödinger operators on bounded domains. Zbl 1172.35013 Filippas, Stathis; Moschini, Luisa; Tertikas, Achilles 37 2007 On a question of Brezis and Marcus. Zbl 1121.26014 Filippas, S.; Maz’ya, V.; Tertikas, A. 38 2006 On the evolution of the semi-classical Wigner function in higher dimensions. Zbl 1110.81082 Filippas, S.; Makrakis, G. N. 2 2006 A unified approach to improved \(L^p\) Hardy inequalities with best constants. Zbl 1129.26019 Barbatis, G.; Filippas, S.; Tertikas, A. 154 2004 Sharp Hardy-Sobolev inequalities. Zbl 1058.26007 Filippas, S.; Maz’ya, V. G.; Tertikas, A. 30 2004 Critical heat kernel estimates for Schrödinger operators via Hardy-Sobolev inequalities. Zbl 1058.35049 Barbatis, G.; Filippas, S.; Tertikas, A. 16 2004 Series expansion for \(L^p\) Hardy inequalities. Zbl 1035.26014 Barbatis, G.; Filippas, S.; Tertikas, A. 56 2003 Refined geometric \(L^ p\) Hardy inequalities. Zbl 1071.26011 Barbatis, G.; Filippas, S.; Tertikas, A. 8 2003 Semiclassical Wigner function and geometrical optics. Zbl 1038.81039 Filippas, Stathis; Makrakis, George N. 5 2003 Optimizing improved Hardy inequalities. Zbl 1030.26018 Filippas, Stathis; Tertikas, Achilles 109 2002 Fast blow-up mechanisms for sign-changing solutions of a semilinear parabolic equation with critical nonlinearity. Zbl 0988.35032 Filippas, Stathis; Herrero, Miguel A.; Velázquez, Juan J. L. 46 2000 On similarity solutions of a heat equation with a nonhomogeneous nonlinearity. Zbl 1011.34006 Filippas, Stathis; Tertikas, Achilles 21 2000 Compactness and single-point blowup of positive solutions on bounded domains. Zbl 0874.35053 Filippas, Stathis; Merle, Frank 4 1997 Modulation theory for the blowup of vector-valued nonlinear heat equations. Zbl 0814.35043 Filippas, Stathis; Merle, Frank 12 1995 On the blowup of multidimensional semilinear heat equations. Zbl 0815.35039 Filippas, Stathis; Liu, Wenxiong 22 1993 Quenching profiles for one-dimensional semilinear heat equations. Zbl 0796.35072 Filippas, Stathis; Guo, Jong-Shenq 19 1993 Refined asymptotics for the blow-up of \(u_ t-{\Delta}u=u^ p\). Zbl 0784.35010 Filippas, Stathis; Kohn, Robert V. 85 1992 all cited Publications top 5 cited Publications all top 5 Cited by 522 Authors 25 Tertikas, Achilles 22 Zaag, Hatem 19 Filippas, Stathis 15 Lam, Nguyen 14 Dolbeault, Jean 14 Nasibullin, Ramil Gaisa’evich 12 Barbatis, Gerassimos 11 Avkhadiev, Farit Gabidinovich 11 Nguyen Phuoc Tai 11 Pinchover, Yehuda 10 Galaktionov, Victor Aleksandrovich 10 Gkikas, Konstantinos T. 10 Lu, Guozhen 10 Yang, Qiaohua 9 Cianchi, Andrea 9 Nguyen Tuan Duy 9 Tintarev, Kyril 9 Zographopoulos, Nikolaos B. 8 Berchio, Elvise 8 Esteban, Maria J. 8 Ishige, Kazuhiro 8 Kombe, Ismail 8 Souplet, Philippe 8 Wei, Juncheng 7 Collot, Charles 7 Guo, Jong-Shenq 7 Harada, Junichi 7 Iagar, Razvan Gabriel 7 Merle, Frank 7 Moschini, Luisa 7 Psaradakis, Georgios 6 Cazacu, Cristian M. 6 Ghoul, Tej-Eddine 6 Loss, Michael 6 Nguyen, Van Tien 6 Pick, Luboš 6 Sánchez, Ariel 6 Slavíková, Lenka 6 Souto de Medeiros, Everaldo 5 Abdellaoui, Boumediene 5 Chen, Huyuan 5 Del Pino, Manuel A. 5 Fujishima, Yohei 5 Ganguly, Debdip 5 Hu, Bei 5 Laptev, Ari 5 Sano, Megumi 5 Seki, Yukihiro 5 Shen, Yaotian 5 Velázquez, Juan J. L. 5 Véron, Laurent 5 Yener, Abdullah 4 Adimurthi, A. 4 Alberico, Angela 4 Anoop, Thazhe Veetil 4 Biroud, Kheireddine 4 Bonforte, Matteo 4 Chen, Zhihui 4 Chlebicka, Iwona 4 Das, Ujjal 4 Duong, Giao Ky 4 Fall, Mouhamed Moustapha 4 Felix, Diego Dias 4 Ferone, Adele 4 Herrero, Miguel Ángel 4 Ioku, Norisuke 4 Kim, Panki 4 Maz’ya, Vladimir Gilelevich 4 Mizoguchi, Noriko 4 Musso, Monica 4 Nouaili, Nejla 4 Raphael, Pierre 4 Reichel, Wolfgang 4 Robinson, Derek William 4 Ruzhansky, Michael V. 4 Su, Dan 4 Suragan, Durvudkhan 4 Takahashi, Futoshi 4 Zhang, Zhengce 3 Abdelhedi, Bouthaina 3 Abreu, Emerson A. M. 3 Alvino, Angelo 3 Bayrami-Aminlouee, Masoud 3 Bebernes, Jerrold W. 3 Bogdan, Krzysztof 3 Cassani, Daniele 3 Chang, Caihong 3 D’Ambrosio, Lorenzo 3 Dávila, Juan 3 Devyver, Baptiste 3 Dou, Jingbo 3 Fabricant, Alexander 3 Flynn, Joshua 3 Frank, Rupert L. 3 Gang, Zhou 3 Goldstein, Jerome Arthur 3 Grillo, Gabriele 3 Hesaaraki, Mahmoud 3 Ishiwata, Michinori 3 Kovařík, Hynek ...and 422 more Authors all top 5 Cited in 153 Serials 42 Journal of Functional Analysis 38 Journal of Differential Equations 35 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 27 Journal of Mathematical Analysis and Applications 21 Calculus of Variations and Partial Differential Equations 17 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 16 Communications in Contemporary Mathematics 13 Discrete and Continuous Dynamical Systems 11 Transactions of the American Mathematical Society 11 Journal de Mathématiques Pures et Appliquées. Neuvième Série 10 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 10 Journal of Evolution Equations 10 Communications on Pure and Applied Analysis 9 Mathematische Annalen 8 Journal of Inequalities and Applications 7 The Journal of Geometric Analysis 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Archive for Rational Mechanics and Analysis 5 Advances in Mathematics 5 Annali di Matematica Pura ed Applicata. Serie Quarta 5 Applied Mathematics and Computation 5 Russian Mathematics 5 NoDEA. Nonlinear Differential Equations and Applications 5 Advanced Nonlinear Studies 4 Communications in Mathematical Physics 4 Nonlinearity 4 Proceedings of the American Mathematical Society 4 Physica D 4 Communications in Partial Differential Equations 4 Electronic Journal of Differential Equations (EJDE) 4 Mathematical Inequalities & Applications 3 Applicable Analysis 3 Journal d’Analyse Mathématique 3 Journal of Mathematical Physics 3 Duke Mathematical Journal 3 Journal of Computational and Applied Mathematics 3 Mathematische Nachrichten 3 Siberian Mathematical Journal 3 Journal of Dynamics and Differential Equations 3 Bulletin des Sciences Mathématiques 3 Revista Matemática Complutense 3 Journal of the European Mathematical Society (JEMS) 3 Acta Mathematica Sinica. English Series 3 Lobachevskii Journal of Mathematics 3 Discrete and Continuous Dynamical Systems. Series B 3 Mediterranean Journal of Mathematics 3 Complex Variables and Elliptic Equations 3 Journal of Fixed Point Theory and Applications 3 Séminaire Laurent Schwartz. EDP et Applications 2 Israel Journal of Mathematics 2 Journal of Engineering Mathematics 2 Mathematical Methods in the Applied Sciences 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Manuscripta Mathematica 2 Mathematische Zeitschrift 2 Zeitschrift für Analysis und ihre Anwendungen 2 Forum Mathematicum 2 European Journal of Applied Mathematics 2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 2 Potential Analysis 2 Journal of Mathematical Sciences (New York) 2 Journal of the Australian Mathematical Society 2 Boundary Value Problems 2 Discrete and Continuous Dynamical Systems. Series S 2 Analysis & PDE 2 Analysis and Mathematical Physics 2 Bulletin of Mathematical Sciences 2 Nonlinear Analysis. Theory, Methods & Applications 2 Journal of Elliptic and Parabolic Equations 1 Modern Physics Letters B 1 Computers & Mathematics with Applications 1 Communications on Pure and Applied Mathematics 1 Houston Journal of Mathematics 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Computational Physics 1 Letters in Mathematical Physics 1 Mathematical Notes 1 Rocky Mountain Journal of Mathematics 1 Studia Mathematica 1 Arkiv för Matematik 1 Mathematics of Computation 1 The Annals of Probability 1 Archiv der Mathematik 1 Automatica 1 Collectanea Mathematica 1 Colloquium Mathematicum 1 Czechoslovak Mathematical Journal 1 Integral Equations and Operator Theory 1 Inventiones Mathematicae 1 Journal of the London Mathematical Society. Second Series 1 Journal für die Reine und Angewandte Mathematik 1 Mathematika 1 Memoirs of the American Mathematical Society 1 Osaka Journal of Mathematics 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Quarterly of Applied Mathematics 1 Rendiconti del Seminario Matematico della Università di Padova 1 Ricerche di Matematica ...and 53 more Serials all top 5 Cited in 35 Fields 408 Partial differential equations (35-XX) 199 Real functions (26-XX) 133 Functional analysis (46-XX) 35 Operator theory (47-XX) 26 Differential geometry (53-XX) 19 Calculus of variations and optimal control; optimization (49-XX) 18 Potential theory (31-XX) 18 Global analysis, analysis on manifolds (58-XX) 10 Ordinary differential equations (34-XX) 10 Harmonic analysis on Euclidean spaces (42-XX) 10 Abstract harmonic analysis (43-XX) 10 Quantum theory (81-XX) 9 Special functions (33-XX) 9 Difference and functional equations (39-XX) 8 Topological groups, Lie groups (22-XX) 8 Mechanics of deformable solids (74-XX) 7 Probability theory and stochastic processes (60-XX) 7 Numerical analysis (65-XX) 7 Fluid mechanics (76-XX) 5 Functions of a complex variable (30-XX) 5 Optics, electromagnetic theory (78-XX) 4 Classical thermodynamics, heat transfer (80-XX) 4 Systems theory; control (93-XX) 3 Mechanics of particles and systems (70-XX) 2 Measure and integration (28-XX) 2 Geometry (51-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Group theory and generalizations (20-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Approximations and expansions (41-XX) 1 Convex and discrete geometry (52-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX) 1 Biology and other natural sciences (92-XX) Citations by Year