Edit Profile (opens in new tab) Quaas, Alexander Compute Distance To: Compute Author ID: quaas.alexander Published as: Quaas, Alexander; Quaas, A. External Links: MGP Documents Indexed: 84 Publications since 2002 Co-Authors: 27 Co-Authors with 83 Joint Publications 554 Co-Co-Authors all top 5 Co-Authors 1 single-authored 29 Felmer, Patricio L. 18 García-Melián, Jorge 11 Sirakov, Boyan Slavchev 10 Alarcón, Salomón 8 Del Pezzo, Leandro M. 7 Barrios Barrera, Begoña 6 Xia, Aliang 5 Chen, Huyuan 5 Dávila, Gonzalo 4 Esteban, Maria J. 4 Tang, Moxun 4 Topp, Erwin 3 Burgos-Pérez, M. Á. 2 Busca, Jérôme 2 Iturriaga, Leonelo 2 Meneses, Rodrigo 2 Rodríguez, Andrei 2 Tan, Jinggang 2 Yu, Jian-She 2 Zhou, Feng 1 Allendes, Alejandro 1 Barles, Guy 1 Fuentes, Rodrigo 1 González-Melendez, Osiris 1 da Silva Montenegro, Marcelo 1 Rodríguez-Paredes, Andrei 1 Salort, Ariel Martin all top 5 Serials 12 Journal of Differential Equations 6 Discrete and Continuous Dynamical Systems 5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 5 Calculus of Variations and Partial Differential Equations 4 Journal d’Analyse Mathématique 4 Communications in Partial Differential Equations 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Journal of Mathematical Analysis and Applications 2 Advances in Mathematics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Indiana University Mathematics Journal 2 Mathematische Annalen 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Differential and Integral Equations 2 NoDEA. Nonlinear Differential Equations and Applications 1 Nonlinearity 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Journal of Functional Analysis 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Zeitschrift 1 Proceedings of the American Mathematical Society 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Transactions of the American Mathematical Society 1 Zeitschrift für Analysis und ihre Anwendungen 1 Revista Matemática Iberoamericana 1 Asymptotic Analysis 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 SIAM Journal on Mathematical Analysis 1 Advances in Differential Equations 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Communications in Contemporary Mathematics 1 Journal of Evolution Equations 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Milan Journal of Mathematics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Complex Variables and Elliptic Equations 1 Journal of Fixed Point Theory and Applications 1 Pure and Applied Functional Analysis all top 5 Fields 82 Partial differential equations (35-XX) 18 Operator theory (47-XX) 9 Integral equations (45-XX) 6 Ordinary differential equations (34-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Probability theory and stochastic processes (60-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Functional analysis (46-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 70 Publications have been cited 1,244 times in 807 Documents Cited by ▼ Year ▼ Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian. Zbl 1290.35308Felmer, Patricio; Quaas, Alexander; Tan, Jinggang 382 2012 Principal eigenvalues and the Dirichlet problem for fully nonlinear elliptic operators. Zbl 1143.35077Quaas, Alexander; Sirakov, Boyan 60 2008 Nonlinear eigenvalues and bifurcation problems for Pucci’s operators. Zbl 1205.35087Busca, Jérôme; Esteban, Maria J.; Quaas, Alexander 49 2005 A Hopf’s lemma and a strong minimum principle for the fractional \(p\)-Laplacian. Zbl 1362.35061Del Pezzo, Leandro M.; Quaas, Alexander 43 2017 Fundamental solutions and Liouville type theorems for nonlinear integral operators. Zbl 1209.45009Felmer, Patricio; Quaas, Alexander 41 2011 Positive radial solutions to a {\` semilinear\'} equation involving the Pucci’s operator. Zbl 1070.34032Felmer, Patricio L.; Quaas, Alexander 36 2004 Liouville type theorems for nonlinear elliptic equations and systems involving fractional Laplacian in the half space. Zbl 1316.35291Quaas, Alexander; Xia, Aliang 34 2015 Existence results for nonproper elliptic equations involving the Pucci operator. Zbl 1237.35056Quaas, Alexander; Sirakov, Boyan 33 2006 Large solutions to elliptic equations involving fractional Laplacian. Zbl 1456.35211Chen, Huyuan; Felmer, Patricio; Quaas, Alexander 32 2015 On critical exponents for the Pucci’s extremal operators. Zbl 1274.35115Felmer, Patricio L.; Quaas, Alexander 30 2003 Global bifurcation for fractional \(p\)-Laplacian and an application. Zbl 1351.35247Del Pezzo, Leandro M.; Quaas, Alexander 24 2016 Harnack inequality for singular fully nonlinear operators and some existence results. Zbl 1204.35088Dávila, Gonzalo; Felmer, Patricio; Quaas, Alexander 23 2010 Keller-Osserman type conditions for some elliptic problems with gradient terms. Zbl 1235.35096Alarcón, Salomón; García-Melián, Jorge; Quaas, Alexander 23 2012 Fundamental solutions and two properties of elliptic maximal and minimal operators. Zbl 1181.35090Felmer, Patricio L.; Quaas, Alexander 22 2009 Alexandroff-Bakelman-Pucci estimate for singular or degenerate fully nonlinear elliptic equations. Zbl 1180.35230Dávila, Gonzalo; Felmer, Patricio; Quaas, Alexander 21 2009 Boundary blow up solutions for fractional elliptic equations. Zbl 1260.35242Felmer, Patricio; Quaas, Alexander 21 2012 Solvability of nonlinear elliptic equations with gradient terms. Zbl 1282.35166Felmer, Patricio; Quaas, Alexander; Sirakov, Boyan 20 2013 Existence of a positive solution to a “semilinear” equation involving Pucci’s operator in a convex domain. Zbl 1174.35373Quaas, Alexander 20 2004 A Liouville type theorem for Lane-Emden systems involving the fractional Laplacian. Zbl 1350.35046Quaas, Alexander; Xia, Aliang 16 2016 Superlinear elliptic equation for fully nonlinear operators without growth restrictions for the data. Zbl 1228.35102Esteban, Maria J.; Felmer, Patricio L.; Quaas, Alexander 14 2010 On the principal eigenvalues and the Dirichlet problem for fully nonlinear operators. Zbl 1134.35048Quaas, Alexander; Sirakov, Boyan 14 2006 A note on the strong maximum principle and the compact support principle. Zbl 1157.35018Felmer, Patricio; Montenegro, Marcelo; Quaas, Alexander 13 2009 Existence and non-existence results for fully nonlinear elliptic systems. Zbl 1208.35043Quaas, Alexander; Sirakov, Boyan 12 2009 Nonexistence of positive supersolutions to some nonlinear elliptic problems. Zbl 1291.35067Alarcón, S.; García-Melián, J.; Quaas, A. 11 2013 Landesman-Lazer type results for second order Hamilton-Jacobi-Bellman equations. Zbl 1190.35223Felmer, Patricio; Quaas, Alexander; Sirakov, Boyan 10 2010 Resonance phenomena for second-order stochastic control equations. Zbl 1210.35273Felmer, Patricio; Quaas, Alexander; Sirakov, Boyan 10 2010 Optimal Liouville theorems for supersolutions of elliptic equations with the Laplacian. Zbl 1378.35054Alarcón, Salomón; García-Melián, Jorge; Quaas, Alexander 10 2016 Liouville type theorems for elliptic equations with gradient terms. Zbl 1268.35052Alarcón, Salomón; García-Melián, Jorge; Quaas, Alexander 10 2013 A priori bounds and existence of solutions for some nonlocal elliptic problems. Zbl 1391.35082Barrios, Begoña; Del Pezzo, Leandro M.; García-Melián, Jorge; Quaas, Alexander 10 2018 Classification of isolated singularities of nonnegative solutions to fractional semi-linear elliptic equations and the existence results. Zbl 1392.35155Chen, Huyuan; Quaas, Alexander 9 2018 On the complex structure of positive solutions to Matukuma-type equations. Zbl 1175.35051Felmer, Patricio; Quaas, Alexander; Tang, Moxun 8 2009 Eigenvalues for radially symmetric fully nonlinear operators. Zbl 1206.35186Esteban, Maria J.; Felmer, Patricio; Quaas, Alexander 8 2010 Large number of fast decay ground states to Matukuma-type equations. Zbl 1187.35077Alarcón, Salomón; Quaas, Alexander 8 2010 Monotonicity properties for ground states of the scalar field equation. Zbl 1136.35032Felmer, Patricio L.; Quaas, Alexander; Tang, Moxun; Yu, Jianshe 8 2008 Existence and multiplicity results for Pucci’s operators involving nonlinearities with zeros. Zbl 1258.35093Alarcón, Salomón; Iturriaga, Leonelo; Quaas, Alexander 8 2012 Existence and non-existence of solutions to elliptic equations with a general convection term. Zbl 1292.35106Alarcón, Salomón; García-Melián, Jorge; Quaas, Alexander 8 2014 Fundamental solutions for a class of Isaacs integral operators. Zbl 1228.47047Felmer, Patricio; Quaas, Alexander 7 2011 On uniqueness for nonlinear elliptic equation involving the Pucci’s extremal operator. Zbl 1245.35038Felmer, Patricio L.; Quaas, Alexander; Tang, Moxun 7 2006 Large viscosity solutions for some fully nonlinear equations. Zbl 1273.35120Alarcón, S.; Quaas, A. 7 2013 Classification of supersolutions and Liouville theorems for some nonlinear elliptic problems. Zbl 1351.35031Quaas, A.; García-Melián, J.; Burgos-Pérez, M. Á. 7 2016 Multiple positive solutions for nonlinear critical fractional elliptic equations involving sign-changing weight functions. Zbl 1431.35234Quaas, Alexander; Xia, Aliang 7 2016 Existence and regularity results for fully nonlinear equations with singularities. Zbl 1250.35052Felmer, Patricio; Quaas, Alexander; Sirakov, Boyan 7 2012 Loss of boundary conditions for fully nonlinear parabolic equations with superquadratic gradient terms. Zbl 1401.35153Quaas, Alexander; Rodríguez, Andrei 7 2018 Critical exponents for the Pucci’s extremal operators. Zbl 1032.35069Felmer, Patricio L.; Quaas, Alexander 7 2002 On the strong maximum principle for quasilinear elliptic equations and systems. Zbl 1223.35096Felmer, Patricio L.; Quaas, Alexander 7 2002 Random dynamics of gene transcription activation in single cells. Zbl 1180.92025Felmer, Patricio L.; Quaas, Alexander; Tang, Moxun; Yu, Jianshe 6 2009 Fujita type exponent for fully nonlinear parabolic equations and existence results. Zbl 1218.35027Meneses, Rodrigo; Quaas, Alexander 6 2011 Critical exponents for uniformly elliptic extremal operators. Zbl 1281.35036Felmer, Patricio L.; Quaas, Alexander 6 2006 Multiplicity results for extremal operators through bifurcation. Zbl 1209.35038Allendes, Alejandro; Quaas, Alexander 5 2011 The sharp exponent in the study of the nonlocal Hénon equation in \(\mathbb{R}^N\): a Liouville theorem and an existence result. Zbl 1439.35521Barrios, B.; Quaas, A. 5 2020 Existence results of positive solutions for nonlinear cooperative elliptic systems involving fractional Laplacian. Zbl 1390.35089Quaas, Alexander; Xia, Aliang 5 2018 Existence, nonexistence and multiplicity results for nonlocal Dirichlet problems. Zbl 1420.35095Dávila, Gonzalo; Quaas, Alexander; Topp, Erwin 5 2019 Monotonicity of solutions for some nonlocal elliptic problems in half-spaces. Zbl 1371.35105Barrios, B.; Del Pezzo, L.; García-Melián, J.; Quaas, A. 5 2017 Some recent results on equations involving the Pucci’s extremal operators. Zbl 1231.35017Felmer, Patricio; Quaas, Alexander 4 2006 Large critical exponents for some second order uniformly elliptic operators. Zbl 1187.35071Esteban, Maria J.; Felmer, Patricio L.; Quaas, Alexander 4 2007 Symmetry results in the half-space for a semi-linear fractional Laplace equation. Zbl 1406.35017Barrios, B.; Del Pezzo, L.; García-Melián, J.; Quaas, A. 4 2018 Nonexistence results for elliptic equations with gradient terms. Zbl 1335.35028Alarcón, S.; Burgos-Pérez, M. Á.; García-Melián, J.; Quaas, A. 3 2016 Spectrum of the fractional \(p\)-Laplacian in \(\mathbb{R}^N\) and decay estimate for positive solutions of a Schrödinger equation. Zbl 1439.35525Del Pezzo, Leandro M.; Quaas, Alexander 3 2020 Existence and uniqueness of solutions of nonlinear elliptic equations without growth conditions at infinity. Zbl 1308.35102Alarcón, Salomón; García-Melián, Jorge; Quaas, Alexander 2 2012 Some nonexistence theorems for semilinear fourth-order equations. Zbl 1418.35052Burgos-Pérez, M. Á.; García-Melián, J.; Quaas, A. 2 2019 Existence and uniqueness of positive solutions for a class of logistic type elliptic equations in \(\mathbb{R}^N\) involving fractional Laplacian. Zbl 1365.35220Xia, Aliang; Quaas, Alexander 2 2017 On critical exponents for Lane-Emden-Fowler-type equations with a singular extremal operator. Zbl 1398.35054González-Melendez, Osiris; Quaas, Alexander 2 2017 Non-resonant Fredholm alternative and anti-maximum principle for the fractional \(p\)-Laplacian. Zbl 1366.35216Del Pezzo, Leandro M.; Quaas, Alexander 2 2017 A Liouville theorem for indefinite fractional diffusion equations and its application to existence of solutions. Zbl 1368.45007Barrios, Begoña; Del Pezzo, Leandro; García-Melián, Jorge; Quaas, Alexander 2 2017 Large-time behavior of unbounded solutions of viscous Hamilton-Jacobi equations in \(\mathbb{R}^N\). Zbl 1467.35046Barles, Guy; Quaas, Alexander; Rodríguez-Paredes, Andrei 2 2021 Qualitative properties for semilinear elliptic systems with non-Lipschitz nonlinearity. Zbl 1012.35024Busca, Jérôme; Quaas, Alexander 1 2002 A note on the monotonicity of solutions for fractional equations in half-spaces. Zbl 1417.35239Barrios, B.; García-Melián, J.; Quaas, A. 1 2019 Solvability of monotone systems of fully nonlinear elliptic PDE’s. Zbl 1147.35317Quaas, Alexander; Sirakov, Boyan 1 2008 Continuous viscosity solutions for nonlocal Dirichlet problems with coercive gradient terms. Zbl 1377.35059Dávila, Gonzalo; Quaas, Alexander; Topp, Erwin 1 2017 Periodic solutions for the one-dimensional fractional Laplacian. Zbl 1430.35246Barrios, B.; García-Melián, J.; Quaas, A. 1 2019 Large-time behavior of unbounded solutions of viscous Hamilton-Jacobi equations in \(\mathbb{R}^N\). Zbl 1467.35046Barles, Guy; Quaas, Alexander; Rodríguez-Paredes, Andrei 2 2021 The sharp exponent in the study of the nonlocal Hénon equation in \(\mathbb{R}^N\): a Liouville theorem and an existence result. Zbl 1439.35521Barrios, B.; Quaas, A. 5 2020 Spectrum of the fractional \(p\)-Laplacian in \(\mathbb{R}^N\) and decay estimate for positive solutions of a Schrödinger equation. Zbl 1439.35525Del Pezzo, Leandro M.; Quaas, Alexander 3 2020 Existence, nonexistence and multiplicity results for nonlocal Dirichlet problems. Zbl 1420.35095Dávila, Gonzalo; Quaas, Alexander; Topp, Erwin 5 2019 Some nonexistence theorems for semilinear fourth-order equations. Zbl 1418.35052Burgos-Pérez, M. Á.; García-Melián, J.; Quaas, A. 2 2019 A note on the monotonicity of solutions for fractional equations in half-spaces. Zbl 1417.35239Barrios, B.; García-Melián, J.; Quaas, A. 1 2019 Periodic solutions for the one-dimensional fractional Laplacian. Zbl 1430.35246Barrios, B.; García-Melián, J.; Quaas, A. 1 2019 A priori bounds and existence of solutions for some nonlocal elliptic problems. Zbl 1391.35082Barrios, Begoña; Del Pezzo, Leandro M.; García-Melián, Jorge; Quaas, Alexander 10 2018 Classification of isolated singularities of nonnegative solutions to fractional semi-linear elliptic equations and the existence results. Zbl 1392.35155Chen, Huyuan; Quaas, Alexander 9 2018 Loss of boundary conditions for fully nonlinear parabolic equations with superquadratic gradient terms. Zbl 1401.35153Quaas, Alexander; Rodríguez, Andrei 7 2018 Existence results of positive solutions for nonlinear cooperative elliptic systems involving fractional Laplacian. Zbl 1390.35089Quaas, Alexander; Xia, Aliang 5 2018 Symmetry results in the half-space for a semi-linear fractional Laplace equation. Zbl 1406.35017Barrios, B.; Del Pezzo, L.; García-Melián, J.; Quaas, A. 4 2018 A Hopf’s lemma and a strong minimum principle for the fractional \(p\)-Laplacian. Zbl 1362.35061Del Pezzo, Leandro M.; Quaas, Alexander 43 2017 Monotonicity of solutions for some nonlocal elliptic problems in half-spaces. Zbl 1371.35105Barrios, B.; Del Pezzo, L.; García-Melián, J.; Quaas, A. 5 2017 Existence and uniqueness of positive solutions for a class of logistic type elliptic equations in \(\mathbb{R}^N\) involving fractional Laplacian. Zbl 1365.35220Xia, Aliang; Quaas, Alexander 2 2017 On critical exponents for Lane-Emden-Fowler-type equations with a singular extremal operator. Zbl 1398.35054González-Melendez, Osiris; Quaas, Alexander 2 2017 Non-resonant Fredholm alternative and anti-maximum principle for the fractional \(p\)-Laplacian. Zbl 1366.35216Del Pezzo, Leandro M.; Quaas, Alexander 2 2017 A Liouville theorem for indefinite fractional diffusion equations and its application to existence of solutions. Zbl 1368.45007Barrios, Begoña; Del Pezzo, Leandro; García-Melián, Jorge; Quaas, Alexander 2 2017 Continuous viscosity solutions for nonlocal Dirichlet problems with coercive gradient terms. Zbl 1377.35059Dávila, Gonzalo; Quaas, Alexander; Topp, Erwin 1 2017 Global bifurcation for fractional \(p\)-Laplacian and an application. Zbl 1351.35247Del Pezzo, Leandro M.; Quaas, Alexander 24 2016 A Liouville type theorem for Lane-Emden systems involving the fractional Laplacian. Zbl 1350.35046Quaas, Alexander; Xia, Aliang 16 2016 Optimal Liouville theorems for supersolutions of elliptic equations with the Laplacian. Zbl 1378.35054Alarcón, Salomón; García-Melián, Jorge; Quaas, Alexander 10 2016 Classification of supersolutions and Liouville theorems for some nonlinear elliptic problems. Zbl 1351.35031Quaas, A.; García-Melián, J.; Burgos-Pérez, M. Á. 7 2016 Multiple positive solutions for nonlinear critical fractional elliptic equations involving sign-changing weight functions. Zbl 1431.35234Quaas, Alexander; Xia, Aliang 7 2016 Nonexistence results for elliptic equations with gradient terms. Zbl 1335.35028Alarcón, S.; Burgos-Pérez, M. Á.; García-Melián, J.; Quaas, A. 3 2016 Liouville type theorems for nonlinear elliptic equations and systems involving fractional Laplacian in the half space. Zbl 1316.35291Quaas, Alexander; Xia, Aliang 34 2015 Large solutions to elliptic equations involving fractional Laplacian. Zbl 1456.35211Chen, Huyuan; Felmer, Patricio; Quaas, Alexander 32 2015 Existence and non-existence of solutions to elliptic equations with a general convection term. Zbl 1292.35106Alarcón, Salomón; García-Melián, Jorge; Quaas, Alexander 8 2014 Solvability of nonlinear elliptic equations with gradient terms. Zbl 1282.35166Felmer, Patricio; Quaas, Alexander; Sirakov, Boyan 20 2013 Nonexistence of positive supersolutions to some nonlinear elliptic problems. Zbl 1291.35067Alarcón, S.; García-Melián, J.; Quaas, A. 11 2013 Liouville type theorems for elliptic equations with gradient terms. Zbl 1268.35052Alarcón, Salomón; García-Melián, Jorge; Quaas, Alexander 10 2013 Large viscosity solutions for some fully nonlinear equations. Zbl 1273.35120Alarcón, S.; Quaas, A. 7 2013 Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian. Zbl 1290.35308Felmer, Patricio; Quaas, Alexander; Tan, Jinggang 382 2012 Keller-Osserman type conditions for some elliptic problems with gradient terms. Zbl 1235.35096Alarcón, Salomón; García-Melián, Jorge; Quaas, Alexander 23 2012 Boundary blow up solutions for fractional elliptic equations. Zbl 1260.35242Felmer, Patricio; Quaas, Alexander 21 2012 Existence and multiplicity results for Pucci’s operators involving nonlinearities with zeros. Zbl 1258.35093Alarcón, Salomón; Iturriaga, Leonelo; Quaas, Alexander 8 2012 Existence and regularity results for fully nonlinear equations with singularities. Zbl 1250.35052Felmer, Patricio; Quaas, Alexander; Sirakov, Boyan 7 2012 Existence and uniqueness of solutions of nonlinear elliptic equations without growth conditions at infinity. Zbl 1308.35102Alarcón, Salomón; García-Melián, Jorge; Quaas, Alexander 2 2012 Fundamental solutions and Liouville type theorems for nonlinear integral operators. Zbl 1209.45009Felmer, Patricio; Quaas, Alexander 41 2011 Fundamental solutions for a class of Isaacs integral operators. Zbl 1228.47047Felmer, Patricio; Quaas, Alexander 7 2011 Fujita type exponent for fully nonlinear parabolic equations and existence results. Zbl 1218.35027Meneses, Rodrigo; Quaas, Alexander 6 2011 Multiplicity results for extremal operators through bifurcation. Zbl 1209.35038Allendes, Alejandro; Quaas, Alexander 5 2011 Harnack inequality for singular fully nonlinear operators and some existence results. Zbl 1204.35088Dávila, Gonzalo; Felmer, Patricio; Quaas, Alexander 23 2010 Superlinear elliptic equation for fully nonlinear operators without growth restrictions for the data. Zbl 1228.35102Esteban, Maria J.; Felmer, Patricio L.; Quaas, Alexander 14 2010 Landesman-Lazer type results for second order Hamilton-Jacobi-Bellman equations. Zbl 1190.35223Felmer, Patricio; Quaas, Alexander; Sirakov, Boyan 10 2010 Resonance phenomena for second-order stochastic control equations. Zbl 1210.35273Felmer, Patricio; Quaas, Alexander; Sirakov, Boyan 10 2010 Eigenvalues for radially symmetric fully nonlinear operators. Zbl 1206.35186Esteban, Maria J.; Felmer, Patricio; Quaas, Alexander 8 2010 Large number of fast decay ground states to Matukuma-type equations. Zbl 1187.35077Alarcón, Salomón; Quaas, Alexander 8 2010 Fundamental solutions and two properties of elliptic maximal and minimal operators. Zbl 1181.35090Felmer, Patricio L.; Quaas, Alexander 22 2009 Alexandroff-Bakelman-Pucci estimate for singular or degenerate fully nonlinear elliptic equations. Zbl 1180.35230Dávila, Gonzalo; Felmer, Patricio; Quaas, Alexander 21 2009 A note on the strong maximum principle and the compact support principle. Zbl 1157.35018Felmer, Patricio; Montenegro, Marcelo; Quaas, Alexander 13 2009 Existence and non-existence results for fully nonlinear elliptic systems. Zbl 1208.35043Quaas, Alexander; Sirakov, Boyan 12 2009 On the complex structure of positive solutions to Matukuma-type equations. Zbl 1175.35051Felmer, Patricio; Quaas, Alexander; Tang, Moxun 8 2009 Random dynamics of gene transcription activation in single cells. Zbl 1180.92025Felmer, Patricio L.; Quaas, Alexander; Tang, Moxun; Yu, Jianshe 6 2009 Principal eigenvalues and the Dirichlet problem for fully nonlinear elliptic operators. Zbl 1143.35077Quaas, Alexander; Sirakov, Boyan 60 2008 Monotonicity properties for ground states of the scalar field equation. Zbl 1136.35032Felmer, Patricio L.; Quaas, Alexander; Tang, Moxun; Yu, Jianshe 8 2008 Solvability of monotone systems of fully nonlinear elliptic PDE’s. Zbl 1147.35317Quaas, Alexander; Sirakov, Boyan 1 2008 Large critical exponents for some second order uniformly elliptic operators. Zbl 1187.35071Esteban, Maria J.; Felmer, Patricio L.; Quaas, Alexander 4 2007 Existence results for nonproper elliptic equations involving the Pucci operator. Zbl 1237.35056Quaas, Alexander; Sirakov, Boyan 33 2006 On the principal eigenvalues and the Dirichlet problem for fully nonlinear operators. Zbl 1134.35048Quaas, Alexander; Sirakov, Boyan 14 2006 On uniqueness for nonlinear elliptic equation involving the Pucci’s extremal operator. Zbl 1245.35038Felmer, Patricio L.; Quaas, Alexander; Tang, Moxun 7 2006 Critical exponents for uniformly elliptic extremal operators. Zbl 1281.35036Felmer, Patricio L.; Quaas, Alexander 6 2006 Some recent results on equations involving the Pucci’s extremal operators. Zbl 1231.35017Felmer, Patricio; Quaas, Alexander 4 2006 Nonlinear eigenvalues and bifurcation problems for Pucci’s operators. Zbl 1205.35087Busca, Jérôme; Esteban, Maria J.; Quaas, Alexander 49 2005 Positive radial solutions to a {\` semilinear\'} equation involving the Pucci’s operator. Zbl 1070.34032Felmer, Patricio L.; Quaas, Alexander 36 2004 Existence of a positive solution to a “semilinear” equation involving Pucci’s operator in a convex domain. Zbl 1174.35373Quaas, Alexander 20 2004 On critical exponents for the Pucci’s extremal operators. Zbl 1274.35115Felmer, Patricio L.; Quaas, Alexander 30 2003 Critical exponents for the Pucci’s extremal operators. Zbl 1032.35069Felmer, Patricio L.; Quaas, Alexander 7 2002 On the strong maximum principle for quasilinear elliptic equations and systems. Zbl 1223.35096Felmer, Patricio L.; Quaas, Alexander 7 2002 Qualitative properties for semilinear elliptic systems with non-Lipschitz nonlinearity. Zbl 1012.35024Busca, Jérôme; Quaas, Alexander 1 2002 all cited Publications top 5 cited Publications all top 5 Cited by 782 Authors 54 Quaas, Alexander 46 Ambrosio, Vincenzo 24 Felmer, Patricio L. 19 García-Melián, Jorge 18 Sirakov, Boyan Slavchev 18 Tang, Xianhua 14 Alves, Claudianor Oliveira 14 Chen, Huyuan 14 Torres Ledesma, César Enrique 13 Pucci, Patrizia 13 Zhang, Binlin 12 Birindelli, Isabeau 12 Biswas, Anup 11 Squassina, Marco 11 Teng, Kaimin 10 Barrios Barrera, Begoña 10 Isernia, Teresa 10 Leoni, Fabiana 10 Miyagaki, Olimpio Hiroshi 10 Vitolo, Antonio 9 Alarcón, Salomón 9 Chen, Sitong 9 Del Pezzo, Leandro M. 9 Galise, Giulio 9 He, Xiaoming 9 Rădulescu, Vicenţiu D. 9 Yu, Jian-She 9 Zhang, Jihui 8 Ikoma, Norihisa 8 Niu, Miaomiao 8 Shang, Xudong 8 Tang, Zhongwei 8 Xiang, Mingqi 7 Bhakta, Mousomi 7 Demengel, Françoise 7 Figueiredo, Giovany Malcher 7 Topp, Erwin 7 Zou, Wenming 6 Armstrong, Scott N. 6 Esfahani, Amin 6 Franca, Matteo 6 Giacomoni, Jacques 6 Hajaiej, Hichem 6 Liu, Weiming 6 Mohammed, Ahmed 6 Montoro, Luigi 6 Nguyen Phuoc Tai 6 Secchi, Simone 6 Siciliano, Gaetano 6 Tang, Moxun 6 Xia, Aliang 5 Ao, Weiwei 5 Arapostathis, Aristotle 5 Burgos-Pérez, M. Á. 5 Charro, Fernando 5 d’Avenia, Pietro 5 Dávila, Gonzalo 5 de Albuquerque, José Carlos 5 Duong, Anh Tuan 5 Iturriaga, Leonelo 5 Jarohs, Sven 5 Luo, Huxiao 5 Nyamoradi, Nemat 5 Peng, Shuangjie 5 Rossi, Julio Daniel 5 Souplet, Philippe 5 Sun, Hongrui 5 Teixeira, Eduardo V. O. 5 Verma, Ram Baran 5 Véron, Laurent 5 Yang, Jing 5 Zhang, Xia 4 Abatangelo, Nicola 4 Bueno, Hamilton P. 4 Chen, Wenxiong 4 Dai, Guowei 4 de Souza, Manassés 4 Do Ó, João M. Bezerra 4 Farina, Alberto 4 Filippucci, Roberta 4 Gao, Zu 4 García-Huidobro, Marta 4 Ge, Bin 4 Guo, Qing 4 Iannizzotto, Antonio 4 Long, Wei 4 Nornberg, Gabrielle 4 Pacella, Filomena 4 Peral Alonso, Ireneo 4 Sciunzi, Berardino 4 Sfecci, Andrea 4 Shen, Liejun 4 Skrypnik, Igor Igorievich 4 Sreenadh, Konijeti 4 Tyagi, Jagmohan 4 Valdinoci, Enrico 4 Wei, Juncheng 4 Wu, Xian 4 Yang, Bianxia 4 Yang, Jianfu ...and 682 more Authors all top 5 Cited in 150 Serials 58 Journal of Differential Equations 57 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 40 Discrete and Continuous Dynamical Systems 35 Communications on Pure and Applied Analysis 34 Journal of Mathematical Analysis and Applications 32 Calculus of Variations and Partial Differential Equations 23 Complex Variables and Elliptic Equations 22 Journal of Mathematical Physics 17 NoDEA. Nonlinear Differential Equations and Applications 15 Advanced Nonlinear Studies 14 Computers & Mathematics with Applications 14 ZAMP. Zeitschrift für angewandte Mathematik und Physik 13 Communications in Partial Differential Equations 12 Applicable Analysis 12 Mathematische Annalen 12 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 12 Journal de Mathématiques Pures et Appliquées. Neuvième Série 12 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 12 Boundary Value Problems 11 Communications in Contemporary Mathematics 11 Advances in Nonlinear Analysis 10 Journal of Functional Analysis 10 Mediterranean Journal of Mathematics 9 Annali di Matematica Pura ed Applicata. Serie Quarta 9 Journal of Dynamics and Differential Equations 8 Topological Methods in Nonlinear Analysis 8 Nonlinear Analysis. Real World Applications 8 Science China. Mathematics 7 Mathematical Methods in the Applied Sciences 7 Nonlinearity 7 Applied Mathematics Letters 7 Potential Analysis 6 Archive for Rational Mechanics and Analysis 6 Advances in Mathematics 6 Proceedings of the American Mathematical Society 6 Fractional Calculus & Applied Analysis 6 Discrete and Continuous Dynamical Systems. Series B 6 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 5 The Journal of Geometric Analysis 5 Electronic Journal of Differential Equations (EJDE) 5 Milan Journal of Mathematics 4 Zeitschrift für Analysis und ihre Anwendungen 4 Revista Matemática Iberoamericana 4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 4 Taiwanese Journal of Mathematics 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Journal of Fixed Point Theory and Applications 3 Journal d’Analyse Mathématique 3 Journal of Mathematical Biology 3 Chaos, Solitons and Fractals 3 Applied Mathematics and Computation 3 Manuscripta Mathematica 3 SIAM Journal on Control and Optimization 3 Transactions of the American Mathematical Society 3 Systems & Control Letters 3 Journal of Scientific Computing 3 SIAM Journal on Mathematical Analysis 3 Annales Academiae Scientiarum Fennicae. Mathematica 3 Abstract and Applied Analysis 3 Journal of Inequalities and Applications 3 Annales Henri Poincaré 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Advances in Difference Equations 3 Discrete and Continuous Dynamical Systems. Series S 3 Advances in Mathematical Physics 3 Journal of Pseudo-Differential Operators and Applications 3 Analysis and Mathematical Physics 3 Journal of Applied Analysis and Computation 3 Journal of Elliptic and Parabolic Equations 3 AIMS Mathematics 3 SN Partial Differential Equations and Applications 2 Communications in Mathematical Physics 2 Communications on Pure and Applied Mathematics 2 Israel Journal of Mathematics 2 Rocky Mountain Journal of Mathematics 2 Annales Polonici Mathematici 2 Applied Mathematics and Optimization 2 Collectanea Mathematica 2 Journal of the Korean Mathematical Society 2 Mathematische Zeitschrift 2 Pacific Journal of Mathematics 2 Acta Applicandae Mathematicae 2 Acta Mathematicae Applicatae Sinica. English Series 2 Asymptotic Analysis 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Opuscula Mathematica 2 Advances in Differential Equations 2 Journal of the European Mathematical Society (JEMS) 2 Journal of Nonlinear Science and Applications 2 Open Mathematics 1 Bulletin of the Australian Mathematical Society 1 Indian Journal of Pure & Applied Mathematics 1 Theoretical and Mathematical Physics 1 Bulletin of Mathematical Biology 1 Funkcialaj Ekvacioj. Serio Internacia 1 Glasgow Mathematical Journal 1 Indiana University Mathematics Journal 1 Integral Equations and Operator Theory 1 Journal of Computational and Applied Mathematics 1 Le Matematiche ...and 50 more Serials all top 5 Cited in 35 Fields 777 Partial differential equations (35-XX) 76 Operator theory (47-XX) 45 Global analysis, analysis on manifolds (58-XX) 37 Integral equations (45-XX) 35 Calculus of variations and optimal control; optimization (49-XX) 19 Ordinary differential equations (34-XX) 18 Probability theory and stochastic processes (60-XX) 18 Numerical analysis (65-XX) 17 Real functions (26-XX) 15 Functional analysis (46-XX) 14 Quantum theory (81-XX) 11 Dynamical systems and ergodic theory (37-XX) 9 Biology and other natural sciences (92-XX) 9 Systems theory; control (93-XX) 7 Differential geometry (53-XX) 5 Potential theory (31-XX) 4 Algebraic topology (55-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Difference and functional equations (39-XX) 3 Fluid mechanics (76-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Mechanics of deformable solids (74-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year